Characterizations of Recently Introduced Univariate Continuous Distributions III

CHARACTERIZATIONS OF RECENTLYINTRODUCED UNIVARIATECONTINUOUS DISTRIBUTIONS III
CHARACTERIZATIONS OF RECENTLYINTRODUCED UNIVARIATECONTINUOUS DISTRIBUTIONS III
Contents
Preface
Chapter 1Introduction
	1.1 Preliminaries
		1.1.1 ExtendedWeighted Exponential (EWE)
		1.1.2 Exponentiated Generalized Extended Pareto (EGEP)
		1.1.3 Inverse Weibull Generator (IWG)
		1.1.4 Generalized Burr X-G (GBX-G)
		1.1.5 Generalized Lindley Power Series (GLPS)
		1.1.6 Transmuted Exponentiated AdditiveWeibull (TEAW)
		1.1.7 ExponentiatedWeighted Exponential (EWE)
		1.1.8 New Weighted Exponential (NWE)
		1.1.9 Gompertz Lomax (GoLom)
		1.1.10 Chen’s Two-Parameter Exponential Power Life-Testing (CTPEPLT)
		1.1.11 InvertedWeighted Exponential (IWE)
		1.1.12 Kumaraswamy Marshall-Oklin Exponential (KMOE)
		1.1.13 Kumaraswamy Weibull (KumW)
		1.1.14 Kumaraswamy Half-Logistics (KH-L)
		1.1.15 Transmuted Generalized Linear Exponential (TGLE)
		1.1.16 Kumaraswamy-Chen (Kw-Chen), Kumaraswamy-XTG (Kw-XTG)and Kumaraswamy Flexible Weibull (Kw-FW)
		1.1.17 Exponentiated Generalized Inverted Exponential (EGIE)
		1.1.18 Exponentiated Generalized Exponentiated Exponential (EGEE)
		1.1.19 Transmuted Exponentiated U-quadratic (TEUq)
		1.1.20 Generalized Gamma Burr III (GGBIII)
		1.1.21 Beta Skew-t (BST)
		1.1.22 A Class of Lindley andWeibull (ACLW)
		1.1.23 Generalized Inverted Kumaraswamy (GIKum)
		1.1.24 Exponentiated Generalized Extended Pareto (EGEP)
		1.1.25 Benktander Type II (BType II)
		1.1.26 Generalized Transmuted Fréchet (GTFr)
		1.1.27 Beta Linear Failure Rate Power Series (BLFRPS)
		1.1.28 Odd Lomax-G (OLxG)
		1.1.29 Exponentiated Power GeneralizedWeibull (EPGW)
		1.1.30 LindleyWeibull (LiW)
		1.1.31 Marshall-Olkin Alpha Power (MOAP)
		1.1.32 Zero Spiked Gamma Weibull (ZSGW)
		1.1.33 Inverted Nadarajah-Haghighi (INH)
		1.1.34 Marshall-Olkin Generated Gamma (MOGG)
		1.1.35 Gamma Generalized Normal (GGN)
		1.1.36 Transmuted Transmuted-G (TTG)
		1.1.37 Power Binomial Exponential 2 (PBE2)
		1.1.38 Beta Burr III (BBIII)
		1.1.39 Muth Generated (MG)
		1.1.40 Weibull-Lindley (WLn)
		1.1.41 Weibull-G Power Series (WGPS)
		1.1.42 Three Parameter Generalized Lindley (TPGL)
		1.1.43 Odd Lindley ExponentiatedWeibull (OLEW)
		1.1.44 Extended Odd Fréchet-G (EOF-G)
		1.1.45 Alpha Power Transformation Poisson Lindley (APTPL)
		1.1.46 Alpha Logarithm Transmuted Fréchet (ALTF)
		1.1.47 Burr-Weibull Power Series (BWPS)
		1.1.48 Zografos-Balakrishnan Fréchet (ZBFr)
		1.1.49 Cubic Transmuted Weibull (CTW)
		1.1.50 Cubic Rank Transmuted Kumaraswamy (CRTKw)
		1.1.51 Cubic Transmuted Weibull (CTW)
		1.1.52 Type II Kumaraswamy Half Logistic-Generated (TIIKwHL-G)
		1.1.53 Odd Log-Logistic Generalized Inverse Gaussian (OLLGIG)
		1.1.54 General Class (GC)
		1.1.55 Poisson Burr Type X Log-Logistic (PBXLL)
		1.1.56 New Odd Generalized Exponential-Exponential (NOGE-E)
		1.1.57 Kumaraswamy Extension Exponential (KEE)
		1.1.58 Extended Enlarg Transmuted Exponential (EETE)
		1.1.59 Marshall-Olkin Extended Power Function (MOEPF)
		1.1.60 Generalized Odd Log-Logistic Exponential (GOLLE)
		1.1.61 Exponentiated Transmuted Power Function (ETPF)
		1.1.62 Type II Half LogisticWeibull (TIIHLW)
		1.1.63 Exponentiated Generalized Inverse Rayleigh (EGIR)
		1.1.64 Generalized Transmuted Gompertz-Makeham (GTGM)
		1.1.65 Jamal Weibull-X (JW-X)
		1.1.66 Nasir Logistic-X (NL-X)
		1.1.67 Jamal Logistics-X (JL-X)
		1.1.68 Nasir Weibull-Generalized (NW-G)
		1.1.69 Weibull Pareto (WP)
		1.1.70 Slashed Power-Lindley (SPL)
		1.1.71 Exponentiated Generalized Pareto (EGP)
		1.1.72 Inverse Weighted Lindley (IWL)
		1.1.73 Unit-Inverse Gaussian (UIG)
		1.1.74 Weibull-Moment Exponential (WME)
		1.1.75 Generalized Odd Burr III-G (GOBIII-G)
		1.1.76 Generalized Odd Fréchet-G (GOFr-G)
		1.1.77 Type I Half Logistic Power Lindley (TIHLPL)
		1.1.78 New Alpha-Power Transformation (NAPT)
		1.1.79 FunctionalWeighted Exponential (FWE)
		1.1.80 Odd Burr III G-Negative Binomial (OBIIIGNB)
		1.1.81 Type I Half-Logistic Exponential (TIHLE)
		1.1.82 Unit-Marshall-Olkin Extended Exponential (UMOEE)
		1.1.83 Generalization of Two-Parameter Lindley (GTPL)
		1.1.84 Odd Lindley Fréchet (OLiFr)
		1.1.85 Topp-Leone Mukherjee-Islam (TLMI)
		1.1.86 Weibull-Lomax (WL)
		1.1.87 Zero Truncated Poisson Topp-Leone ExponentiatedWeibull(ZTPTLEW)
		1.1.88 Zero Truncated Poisson Topp-Leone Burr XII (ZTPTLBXII)
		1.1.89 General Transmuted Family (GTF)
		1.1.90 Poisson Topp-Leone Inverse Weibull (PTLIW)
		1.1.91 Odd Burr-G Poisson (OBGP)
		1.1.92 ExponentiatedMukherjee-Islam (EMI)
		1.1.93 Generalized Transmuted Power Function (GTPF)
		1.1.94 Poisson Exponentiated Erlang-Truncated Exponential (PEETE)
		1.1.95 Minimum Guarantee Lindley (MGL)
		1.1.96 Inverted Beta (IB)
		1.1.97 Cubic Transmuted Pareto (CTP)
		1.1.98 Zero Truncated Poisson Topp LeoneWeibull (ZTPTLW)
		1.1.99 A New (AN)
		1.1.100 Exponentiated Kumarsawamy-G (EKw-G)
		1.1.101 Log-Sinh Cauchy Promotion (LSCp)
		1.1.102 Modified Beta Modified-Weibull (MBMW)
		1.1.103 Kumaraswamy Generalized Linear Exponential (Kw-GLE)
		1.1.104 Weighted Inverse Gamma (WIG)
		1.1.105 Odd Log-Logistic Generalized Half-Normal Poisson (OLLGHNP)
		1.1.106 Topp-LeoneWeightedWeibull (TLWW)
		1.1.107 Burr-Hatke-G (BH-G)
		1.1.108 Burr-Hatke ExponentiatedWeibull (BHEW)
		1.1.109 Generalized Log-Lindley (GLL)
		1.1.110 Weibull Generalized Log-Logistic (WGLL)
		1.1.111 Transmuted Generalized Odd Generalized Exponential-G(TGOGE-G)
		1.1.112 New Three Parameter Paralogistic (NTPL)
		1.1.113 Janardan-Power Series (JPS)
		1.1.114 Exponentiated Generalized Extended Gompertz (EGEG)
		1.1.115 Power-Exponential Hazard Rate (P-EHR)
		1.1.116 Inverse Power Lomax (IPL)
		1.1.117 Exponentiated Kumaraswamy-Weibull (EK-W)
		1.1.118 Power Function Power Series (PFPS)
		1.1.119 Exponentiated Negative Binomial (ENB)
		1.1.120 Burr-Hatke Exponential (BHE)
		1.1.121 X Gamma Weibull (XGW)
		1.1.122 Exponentiated Exponential Logistic (EEL)
		1.1.123 Reduced New ModifiedWeibull (RNMW)
		1.1.124 ExtendedWeibull-G (EW-G)
		1.1.125 Composite Generalizers ofWeibull (CGW)
		1.1.126 Odd Log-Logistic Exponentiated Gumbel (OLLEGu)
		1.1.127 Harris Extended Lindley (HEL)
		1.1.128 Odd Burr III Weibull (OBIIIW)
		1.1.129 Power Lindley Generated (PLG)
		1.1.130 Inverse Gompertz (IG)
		1.1.131 Hyperbolic Sine Rayleigh (HS-R)
		1.1.132 Type II Topp-Leone Generated (TIITL-G)
		1.1.133 Exponentiated Inverse Rayleigh (EIR)
		1.1.134 Exponentiated NewWeightedWeibull (ENWW)
		1.1.135 Beta TransmutedWeighted Exponential (BTWE)
		1.1.136 Odd Lindley ExponentiatedWeibull (OLi-EW)
		1.1.137 ModifiedWeibull-G (MW-G)
		1.1.138 Compound Gamma and Lindley (GaL)
		1.1.139 OddWeibull (OW)
		1.1.140 Topp-Leone Generalized Inverted Kumarswamy (TLGIKw)
		1.1.141 Marshall-Olkin Burr X (MOBX)
		1.1.142 New Extended Generalized Burr III (NEGBIII)
		1.1.143 Generalized Inverse Weibull-Generalized InverseWeibull(GIW-GIW)
		1.1.144 Exponentiated Burr XII Power Series (EBXIIPS)
		1.1.145 Burr XII Weibull Logarithmic (BWL)
		1.1.146 Odd Log-Logistic Geometric Normal (OLLGN)
		1.1.147 Marshall-Olkin Extended Flexible Weibull (MOEFW)
		1.1.148 Topp-Leone Inverse Weibull (TLIW)
		1.1.149 Odd Log-Logistic Marshall-Olkin Power Lindley (OLLMOPL)
		1.1.150 Topp-Leone Lomax (TLLo)
		1.1.151 Exponentiated Topp-Leone (ETL)
		1.1.152 Topp-Leone Generator (TLG)
		1.1.153 Topp-Leone Generated q-Exponential (TLG-qE)
		1.1.154 Odd Hyperbolic Cosine KG (OHC-KG)
		1.1.155 Generalized Gudermannian (GG)
		1.1.156 New Extended Alpha Power Transformed (NEAPT)
		1.1.157 Exponentiated Odd Log-Logistic-G (EOLL-G)
		1.1.158 Zero Truncated Poisson Topp Leone Weibull (ZTPTLW)
		1.1.159 Type II Generalized Topp-Leone-G (TIIGTL-G)
		1.1.160 Burr XII ExponentiatedWeibull (BXIIEW)
		1.1.161 Generalized Odd Log-Logistics Inverse Weibull (GOLLIW)
		1.1.162 Centered Skew-Normal Birnbaum-Saunders (CSNBS)
		1.1.163 Logarithmic Kumarswamy (LKu)
		1.1.164 Marshall-Olkin Odd Lindley G (MOOL-G)
		1.1.165 Generalized Transmuted Fréchet (GTF)
		1.1.166 Weibull Generalized ExponentiatedWeibull (WGEW)
		1.1.167 Odd Log-Logistic Poisson-G (OLLP-G)
		1.1.168 New Lindley Exponential (NLE)
		1.1.169 Odd Log-Logistic ExponentiatedWeibull (OLLEW)
		1.1.170 Another Odd Log-Logistic Logarithmic (AOLLL-G)
		1.1.171 Type I Half-Logistic (TIHL-G)
		1.1.172 Odd Burr- Generalized (OBu-G)
		1.1.173 Odd Log-Logistic Topp-Leone G (OLLTL-G)
		1.1.174 Topp-Leone Odd Lindley-G (TLOL-G)
		1.1.175 Odd Log-Logistic Log-Normal (OLL-LN)
		1.1.176 Odd Log-Logistic Generalized Gompertz (OLLGG)
		1.1.177 New Odd Log-Logistic Half-Logistic (NOLL-HL)
		1.1.178 Zografos-Balakrishnan Odd Log-Logistic Generalized Half-Normal(ZNOLL-GHN)
		1.1.179 Odd Log-Logistic Marshall-Olkin Generalized Half-Normal(OLLMOGHN)
		1.1.180 Power-Linear Hazard Rate (P-LHR)
		1.1.181 Alpha-Power Pareto (APP)
		1.1.182 Exponentiated Odd Log-Logistic Normal (EOLLN)
		1.1.183 Extended Odd Fréchet-G (EOF-G)
		1.1.184 Log-Odd Log-Logisticc Birnbaum-Saunders-Poisson (OLLBSP)
		1.1.185 Zografos-Balakrishnan Lindley-Poisson (ZB-LP)
		1.1.186 One-ParameterWeibull-Type (1P-Weibull)
		1.1.187 Beta Odd Lindley-G (BOL-G)
		1.1.188 A Distribution For Instantaneous Failures (ADFIF)
		1.1.189 Generalized Inverse Weibull- Generalized Inverse Weibull (GIWGIW)
		1.1.190 Beta Lindley Geometric (BLGc)
		1.1.191 Odd Log-Logistic Generalized Half-Normal (OLLGHN)
		1.1.192 Odd Lindley Lomax (OLLo)
		1.1.193 Burr X Exponentiated Lomax (BrXELx)
		1.1.194 Extended Normal (EN)
		1.1.195 Poisson-X (P-X)
		1.1.196 a-Power Transmuted Generalized Exponential (aPTGE)
		1.1.197 Weibull Exponentiated Exponential (WEE)
		1.1.198 WeightedModifiedWeibull (WMW)
		1.1.199 Poisson Nadarajah-Haghighi (PNH)
		1.1.200 Poisson Burr XWeibull (PBrXW)
		1.1.201 Marshall-Olkin Extended Exponential (MOEE)
		1.1.202 New Generalization ofWeibull-Exponential (NGWE)
		1.1.203 Odd Fréchet Inverse Weibull (OFIW)
		1.1.204 Topp-Leone-G Poisson (TL-GP)
		1.1.205 Alpha Power Transmuted Extended Exponential (APTEE)
		1.1.206 Odd Fréchet Inverse Rayleigh (OFIR)
		1.1.207 Odd Inverse Pareto-G (OIP-G)
		1.1.208 Type I Half-Logistic Burr X (TIHLBX)
		1.1.209 Geometric Lindley Poisson 1 (GLP1)
		1.1.210 Odd Fréchet Inverse Exponential (OFIE)
		1.1.211 TruncatedWeibull Power Lomax (TWPL)
		1.1.212 Generalized Extended InverseWeibull (GEIW)
		1.1.213 Lomax-Lindley (L-L)
		1.1.214 Generalized Gompertz-Generalized Gompertz (GG-GG)
		1.1.215 ExponentiatedWeibullWeibull (EWW)
		1.1.216 Weibull-Inverse Lomax (WIL)
		1.1.217 Burr XII Inverse Rayleigh (BXII-IR)
		1.1.218 Kumarswamy Type I Half Logistic (KwTIHL-G)
		1.1.219 Odd Generalized Exponential Power Function (OGEPF)
		1.1.220 Generalized Odd Lomax Generated (GOLG)
		1.1.221 Inverse Weibull Geometric (IWG)
		1.1.222 Inverse Weibull Poisson (IWP)
		1.1.223 Transmuted Four Parameters Generalized Log-Logistic (TFPGLL)
		1.1.224 Burr X-Kumaraswamy (BXKw)
		1.1.225 Transmuted Generalized Gamma (TGG)
		1.1.226 Generalized Extended Exponential-Weibull (GEEW)
		1.1.227 Nadarajah-Haghigh Geometric (NHG)
		1.1.228 Nadarajah-Haghighi Lindley (NHL)
		1.1.229 Exponentiated Log-Sinh Cauchy (ELSC)
		1.1.230 Modified Fréchet (MFr)
		1.1.231 Cubic Transmuted Uniform (CTU)
		1.1.232 Beta-G Poisson (BGP)
		1.1.233 Cosine-Sine Transformation (CST)
		1.1.234 Generalized Burr XII Power Series (GBXIIPS)
		1.1.235 Transmuted Extended Exponential (TEE)
		1.1.236 Exponentiated Generalized Power Series (EGPS)
		1.1.237 Marshall-Olkin Alpha Power Inverse Exponential (MOAPIE)
		1.1.238 Transmuted Topp Leone Exponentiated Fréchet (TTLEFr)
		1.1.239 Generalized Gudermannian (GG)
		1.1.240 Alpha Skew Generalized Gudermannian (ASGG)
		1.1.241 Truncated-Logistic Skew-Symmetric (TLSS)
		1.1.242 Combined Exponential-Normal {GeneralizedWeibull} (CE-N{GW})
		1.1.243 Type II Half Logistic Ibrahim (TIIHLI)
		1.1.244 Modified GeneralizedMarshall-Olkin (MGMO)
		1.1.245 Transmuted Extended Lomax (TEL)
		1.1.246 Topp-Leone Odd Log-Logistic Exponential (TLOLLEx)
		1.1.247 Odd Birnbaum-Saunders (OBS)
		1.1.248 Gamma DualWeibull (G2-W)
		1.1.249 Quasi XGamma-Poisson (QXGP)
		1.1.250 Modified Extended Generalized Exponential (MEGE)
		1.1.251 Exponentiated Nadarajah Haghighi Poisson (ENHP)
		1.1.252 Extended New Generalized Exponential (ENGE)
		1.1.253 Transmuted Singh-Maddala (TSM)
		1.1.254 Transmuted Half Logistic (THL)
		1.1.255 Kumarswamy Exponentiated U-Quadratic (KwEUQ)
		1.1.256 New Generalized Transmuted Inverse Exponential (NGT-IE)
		1.1.257 Transmuted Lomax Exponential (TLE)
		1.1.258 Extended Pranav (EP)
		1.1.259 Generalized Odd Lindley-G (GOLi-G)
		1.1.260 Leaned Normal (LN)
		1.1.261 XGamma (XG)
		1.1.262 Quasi XGamma-Geometric (QXGGc)
		1.1.263 Marshall-OlkinModified Burr III (MOMBIII)
		1.1.264 Type II Exponentiated Half Logistic Generated (TIIEHL-G)
		1.1.265 Weighted XGamma (WXG)
		1.1.266 Length Biased XGamma (LBXG)
		1.1.267 Wrapped XGamma (WRXG)
		1.1.268 Linearly Decreasing Stress Weibull (LDSWeibull)
		1.1.269 L-Logistic (L-Logistic)
		1.1.270 Normal Generalized Hyperbolic Secant (NGHS)
		1.1.271 Generalized Inverse Pareto-G (GIP-G)
		1.1.272 Kumarsawamy Marshall-OlkinModifiedWeibull (KMOMW)
		1.1.273 Wrapped Lindley-Exponential (WRLE)
		1.1.274 Odoma
		1.1.275 Wibull Inverse Lomax (WIL)
		1.1.276 Poisson Burr X Pareto Type II (PBXPTII)
		1.1.277 Burr XII Fréchet (BrXIIFr)
		1.1.278 Burr X Fréchet (BrXFr)
		1.1.279 Odd Generalized Exponential Type-I Generalized Half Logistic(OGET-IGHL)
		1.1.280 Burr X Nadarajah Haghighi (BXNH)
		1.1.281 Topp-Leone Compound Rayleigh (TLCR)
		1.1.282 Dual ExponentiatedWeibull (DEW)
		1.1.283 unit-Improved Second-Degree Lindley (unit-ISDL)
		1.1.284 Kumaraswamy Odd Lindley-G (KOL-G)
		1.1.285 Transmuted Type I Generalized Logistic (TTIGL)
		1.1.286 Truncated Discrete LinnikWeibull (TDLW)
		1.1.287 Raised Cosine (RC)
		1.1.288 Transmuted ExponentiatedWeibull (TEW)
		1.1.289 Generalized Marshall-Olkin Extended Burr-III (GMOBIII)
		1.1.290 Modified Beta Linear Exponential (MBLE)
		1.1.291 Zero-Truncated Poisson-Power Function (ZTPPF)
		1.1.292 Cubic Transmuted Pareto (CTP)
		1.1.293 Inverse XGamma (IXG)
		1.1.294 Alpha-Power Transformed Lindley (aPTL)
		1.1.295 Log-Odd Logistic-Weibull (LOLW)
		1.1.296 Skewed Generalized Logistic (SGL)
		1.1.297 Weighted T-X (WTX)
		1.1.298 Zero-Truncated Poisson Exponentiated Gamma (ZTPEG)
		1.1.299 Power Gompertz (PG)
		1.1.300 Transmuted NewWeibull Pareto (TNWP)
		1.1.301 Lomax Weibull (LoW)
		1.1.302 Odd Log-Logistic Geometric-G (OLLG-G)
		1.1.303 Marshall-Olkin Extended Quasi Lindley (MOEQL)
		1.1.304 Poisson Rayleigh Log-Logistic (PRLL)
		1.1.305 Generalized Marshall-Olkin Extended Burr XII (GMOBXII)
		1.1.306 Type I New Heavy Tailed Weibull (TINHT-W)
		1.1.307 Arcsine Weibull (AS-W)
		1.1.308 Truncated Inverted Kumaraswamy Generated (TIK-G)
		1.1.309 Lomax Gompertz-Makeham (LOGOMA)
		1.1.310 Exponential Transmuted Fréchet (ETF)
		1.1.311 Marshall-Olkin ExtendedWeibull Exponential (MOEWE)
		1.1.312 Extended Log-Logistic (ELL)
		1.1.313 Log-Odd Normal Generalized (LONG)
		1.1.314 Marshall-Olkin Generalized Burr XII (MOGBXII)
		1.1.315 Generalized Inverse Lindley (GIL)
		1.1.316 Normal-C (N-C)
		1.1.317 Extended Power Lindley-G (EPL-G)
		1.1.318 Type II Topp-Leone Inverted Kumaraswamy (TIITLIK)
		1.1.319 New Power Topp-Leone Generated (NPTL-G)
		1.1.320 Modified Beta Gompertz (MBG)
		1.1.321 ExponentiatedWeibull-ExponentiatedWeibull (EW-EW)
		1.1.322 Nadarajah Haghighi Topp Leaone-G (NHTL-G)
		1.1.323 Weibull Generalized Burr XII (WGBXII)
		1.1.324 Extended Poisson Fréchet (EPFr)
		1.1.325 Poisson Burr X -Fréchet (PBX-Fr)
		1.1.326 Odd Log-Logistic Lindley-G (OLLLi-G)
		1.1.327 Exponentiated Generalized Power Lindley (EG-PL)
		1.1.328 Generalized Odd Half-Cauchy-G (GOHC-G)
		1.1.329 Generalized Kumaraswamy-G (GK-G)
		1.1.330 Alpha Power Inverted Exponential (APIE)
		1.1.331 Alpha Power Inverse Weibull (APIW)
		1.1.332 Kumarswamy Log-LogisticWeibull (KLLoGW)
		1.1.333 Mrashall-Olkin Kappa (MOK)
		1.1.334 Exponentiated Gumbel Exponential (EGuE)
		1.1.335 Type II Topp-Leone Power Lomax (TIITLPL)
		1.1.336 XGamma-G (XG-G)
		1.1.337 Weibull-Inverse Lomax (WIL)
		1.1.338 Kumaraswamy Alpha Power Inverted Exponential (KAPIE)
		1.1.339 Odd Generalized Exponential-Exponential (OGE-E)
		1.1.340 Topp-Leone-Lomax (TLLx)
		1.1.341 Beta Generalized Exponentiated Fréchet (BGEF)
		1.1.342 Transmuted Generalized Inverted Exponential (TGIE)
		1.1.343 Transmuted Generalized PowerWeibull (TGPW)
		1.1.344 Size Biased Gamma Lindley (SBGaL)
		1.1.345 Skew t-Distribution of Three Degrees of Freedom (St-DTDF)
		1.1.346 Logarithm Transformed Lomax (LTL)
		1.1.347 Exponentiated Generalized Power Function (EGPF)
		1.1.348 Gompertz Length Biased Exponential (Go-LBE)
		1.1.349 Gumbel-Burr XII (GUBXII)
		1.1.350 Type II Power Topp-Leone Generated (TIIPTL-G)
		1.1.351 Beta Kumaraswamy Marshall-Olkin-G (BKwMO-G)
		1.1.352 Beta GeneralizedMarshall-Olkin Kumarswamy-G (BGMOKw-G)
		1.1.353 Beta Marshall-Olkin Kumarswamy-G (BMOKw-G)
		1.1.354 Zografos-Balakrishnan Burr XII (ZBBXII)
		1.1.355 Beta Kumarswamy Burr Type X (BKBX)
		1.1.356 Beta Kumaraswamy Marshall-Olkin-G (BKwMO-G)
		1.1.357 Poisson Burr X Burr XII (PBXBXII)
		1.1.358 Transmuted Arcsine (TA)
		1.1.359 Poisson Burr X Generalized Lomax (PBXGL)
		1.1.360 Transmuted Power Function (TPF)
		1.1.361 Kumaraswamy Moment Exponential (KwME)
		1.1.362 Marshall-Olkin Length Biased Exponential (MOLBE)
		1.1.363 Generalized Moment Exponential Power Series (GMEPS)
		1.1.364 Truncated Exponential Skew Logistic (TESL)
		1.1.365 Balakrishnan Alpha Skew Normal2 (BASN2)
		1.1.366 Alpha Beta Skew Logistic-G (ABSLG)
		1.1.367 Bimodal Alpha Skew LogisticG2 (BASLG2)
		1.1.368 Generalized Modified Exponential-G (GMEG)
		1.1.369 Doubly Truncated Extreme Value Type I (DTEVTI)
		1.1.370 Lomax Exponential (LE)
		1.1.371 Generalized Odd Log-Logistic Exponential (GOLLEx)
		1.1.372 Extended OddWeibull Exponential (EOWEx)
		1.1.373 New Libby-Novick (NLN)
		1.1.374 Modified Burr XII (MBXII)
		1.1.375 Poisson Odd Generalized Exponential (POGE)
		1.1.376 Modified OddWeibull-G (MOW-G)
		1.1.377 Generalized Uniform (GU)
		1.1.378 McDonald Modified Burr-III (McMB-III)
		1.1.379 Generalized Lindley (GL)
		1.1.380 WeibullMarshall-Olkin Lindley (WMOL)
		1.1.381 Generalized Inverse Marshall-Olkin (GIMO)
		1.1.382 Poisson Burr X Inverse Rayleigh (PBX-IR)
		1.1.383 Kumarswamy Reciprocal (KR)
		1.1.384 Log-Weighted Pareto (LWP)
		1.1.385 Alpha Power Transformed Extended Exponential (APTEE)
		1.1.386 Lomax ExponentiatedWeibull (LEW)
		1.1.387 Intervened Geometric Compound (IGC)
		1.1.388 Intervened Negative Binomial Compound (INBC)
		1.1.389 Intervened Binomial Compound (IBC)
		1.1.390 Intervened Poisson Compound (IPC)
		1.1.391 Odd Log-Logistic Exponential Gaussian (OLLExGa)
		1.1.392 Gompertz Fréchet (GFr)
		1.1.393 Weighted Exponential Gompertz (WE-G)
		1.1.394 Rayleigh Rayleigh (RR)
		1.1.395 Chen-G (CG)
		1.1.396 Power Muth (PM)
		1.1.397 Cubic Transmuted Power Function (CTPF)
		1.1.398 Weibull Alpha Power Inverted Exponential (WAPIE)
		1.1.399 Exponentiated-Epsilon (E-Epsilon)
		1.1.400 Gompertz-Alpha Power Inverted Exponential (GAPIE)
		1.1.401 Gompertz Extended Generalized Exponential (G-EGE)
		1.1.402 Extended Odd Log-Logistic (EOLL-G)
		1.1.403 Generalized Odd Generalized Exponential G (GOGE-G)
		1.1.404 Slash Maxwell (SM)
		1.1.405 Modified T-X (MT-X)
		1.1.406 Double Truncated Transmuted Fréchet (DTTF)
		1.1.407 Burr-Hatke Logarithmic BurrXII (BH-BXII)
		1.1.408 Odd Inverse Pareto-Exponential (OIPEx)
		1.1.409 Poisson Rayleigh Generalized Lomax (PRGLx)
		1.1.410 Generalized Odd Log-Logistic-G (GOLL-G)
		1.1.411 Marshall-Olkin Generalized Pareto (MOGP)
		1.1.412 Log-Balakrishnan-Alpha-Skew-Normal (LBASN2 (a))
		1.1.413 Flexible AdditiveWeibull (FAW)
		1.1.414 Transmuted Weibull (TW)
		1.1.415 Cubic Transmuted (CT)
		1.1.416 Transmuted ModifiedWeibull (TMW)
		1.1.417 Transmuted Half Normal (THN)
		1.1.418 Cubic Rank Transmuted Fréchet (CRTF)
		1.1.419 Weighted Garima (WG)
		1.1.420 Exponentiated Exponential Lomax (EEL)
		1.1.421 Transmuted Half Normal (THN)
		1.1.422 Transmuted Ishita (TI)
		1.1.423 Transmuted Generalized Extreme Value (TGEV)
		1.1.424 Transmuted Burr Type X (TBX)
		1.1.425 Odd Lindley ExponentiatedWeibull (OLi-EW)
		1.1.426 Transmuted Lomax-G (TL-G)
		1.1.427 Power Lindley Geometric (PLG)
		1.1.428 Odd Lomax Exponential (OLxEx)
		1.1.429 Jamal Weibull-X (JW-X)
		1.1.430 Topp-Leone Exponentiated-G (TLEx-G)
		1.1.431 New Extended Burr III (NEBIII)
		1.1.432 Zero Truncated Poisson Topp Leone Fréchet (ZTPTL-Fr)
		1.1.433 Alpha Power Transformed Inverse Lindley (APTIL)
		1.1.434 Beta Type I Generalized Half Logistic (BTIGHL)
		1.1.435 Burr-Hatke Extended Burr XII (BHEBXII)
		1.1.436 Wrapped Lindley (WL)
		1.1.437 Truncated Cauchy Power-G (TCP-G)
		1.1.438 Slash Lindley-Weibull (SLW)
		1.1.439 Risti´c-Balakrishnan Extended Exponential (RBEE)
		1.1.440 Exponentiated Generalized Standardized Gumbel (EGSGu)
		1.1.441 Unit-Lindley (unit-Lindley)
		1.1.442 Odd Log-Logistic Dagum (OLLDa)
		1.1.443 Type I Half-LogisticModifiedWeibull (TIHLMW)
		1.1.444 Odd Dagum (OddD-G)
		1.1.445 Unit-Weibull (UW)
		1.1.446 Generalized DUS Lindley (GDUSL)
		1.1.447 Poisson Rayleigh Burr XII (PRBXII)
		1.1.448 Exponential-Gamma (EG)
		1.1.449 Extended Beta Power Function (EBPF)
		1.1.450 Arcsine Exponentiated-X (ASE-X)
		1.1.451 Lindley Quasi XGamma (LQXG)
		1.1.452 Type II Half Logistic Exponentiated Exponential (TIIHLEE)
		1.1.453 Weighted Ishita (WI)
		1.1.454 Quasi Sujatha (QS)
		1.1.455 Weighted Nakagami (WN)
		1.1.456 Weighted Version of Generalized Inverse Weibull (WVGIW)
		1.1.457 Weighted Inverse Lévy (WIL)
		1.1.458 Exponentiated Length Biased Exponential (ELBE)
		1.1.459 Length-Biased Suja (LBS)
		1.1.460 Alpha-Power Generalized Inverse Lindley (APGIL)
		1.1.461 Exponentiated Cubic Transmuted Exponential (ECTE)
		1.1.462 Transmuted Alpha Power Inverse Rayleigh (TAPIR)
		1.1.463 New Beta Power Transformed (NBPT)
		1.1.464 Generalized Gamma ExponentiatedWeibull (GGEW)
		1.1.465 Marshall-Olkin Exponential Gompertz (MOEGo)
		1.1.466 Exponentiated Truncated InverseWeibull-Generated (ETIW-G)
		1.1.467 Lindley Rayleigh (LR)
		1.1.468 GeneralizedWeibull Uniform (GWU)
		1.1.469 Burr XII Uniform (BXIIU)
		1.1.470 G-Fixed-Topp-Leone (G-FTL)
		1.1.471 Generalized New ExtendedWeibull (GNEW)
		1.1.472 New Exponential Trigonometric (NET)
		1.1.473 Power Log-Dagum (PLD)
		1.1.474 Poly-Exponential Transformation (PET)
		1.1.475 New Weighted Transmuted Exponential (NWTE)
		1.1.476 Kumarswamy Poisson-G (KwP-G)
		1.1.477 Truncated Burr-G (TB-G)
		1.1.478 Alpha Power Transformation Lomax (APTL)
		1.1.479 Weighted InvertedWeibull (WIW)
		1.1.480 Odd Exponential-Pareto IV (OEPIV)
		1.1.481 T-Dagum{Y} (TD{Y})
		1.1.482 Generalized Odd Inverted Exponential-G (GOIE-G)
		1.1.483 Marshall-Olkin Burr Exponential-2 (MOBE-2)
		1.1.484 Exponentiated Power GeneralizedWeibull Power Series (EPGWPS)
		1.1.485 Exponentiated TransmutedWeibull Geometric (ETWG)
		1.1.486 Complementary Exponential Geometric (CEG)
		1.1.487 Complementary Exponentiated Lomax-Poisson (CELP)
		1.1.488 Alpha Power Transformed Log-Logistic (APTLL)
		1.1.489 T-Kumarswamy (T-K)
		1.1.490 Zografos Balakrishnan Power Lindley (ZB-PL)
		1.1.491 Poisson Exponential-G (PE-G)
		1.1.492 Perturbed Half-Normal (PHN)
		1.1.493 Normal-Poisson (NP)
		1.1.494 Extended ExponentiatedWeibull (EEW)
		1.1.495 New Family of Heavy Tailed (NFHT)
		1.1.496 New Heavy Tailed Family of Claim (NHTFC)
		1.1.497 New Beta Power Transformed (NBPT)
		1.1.498 Transmuted Type II Generalized Logistic (TTIIGL)
		1.1.499 Beta-Complementary Exponential Power Series (BCEPS)
		1.1.500 Zubair-G (Zubair-G)
		1.1.501 Generalized Class (GC)
		1.1.502 Odd Lindley Half Logistics (OLiHL)
		1.1.503 Modified Beta Generalized Linear Failure Rate (MBGLFR)
		1.1.504 TruncatedWeibull Fréchet (TWFr)
		1.1.505 Beta Poisson-G (BP-G)
		1.1.506 Topp-Leone Marshall-Olkin-G (TLMO-G)
		1.1.507 Beta ModifiedWeibull Power Series (BMWPS)
		1.1.508 Fréchet Weibull (FW)
		1.1.509 Odd Lomax Fréchet (OLxF)
		1.1.510 Burr XWeibull (BXW)
		1.1.511 Beta Exponential Pareto (BEP)
		1.1.512 Gompertz Flexible Weibull (GoFW)
		1.1.513 Type I Half-Logistic Rayleigh (TIHLR)
		1.1.514 Log-Beta ModifiedWeibull (LBMW)
		1.1.515 Transmuted Exponential-G (TE-G)
		1.1.516 New Mixture of Exponential-Gamma (NMEG)
		1.1.517 New Generalized Akash (NGA)
		1.1.518 T-R { Y } Power Series (T-R { Y } PS)
		1.1.519 New Odd Log-Logistic Chen (NOLL-Ch)
		1.1.520 Transmuted Generalized Lindley (TGL)
		1.1.521 Beta ExponentiatedWeibull Geometric (BEWG)
		1.1.522 Beta Exponentiated Nadarajah-Haghighi (BENH)
		1.1.523 Exponentiated AdditiveWeibull (EAW)
		1.1.524 Transmuted Kumaraswamy Lindley (TKL)
		1.1.525 Weighted Power Lindley (WPL)
		1.1.526 Marshall-Olkin Extended Power Lomax (MOEPL)
		1.1.527 Unit Modified Burr-III (UMBIII)
		1.1.528 Reflected Power Function (RPF)
		1.1.529 Transmuted Odd Fréchet-G (TOFr-G)
		1.1.530 Unit- Birnbaum-Saunders (UBS)
		1.1.531 erf-G (erf-G)
		1.1.532 New Unit-Lindley (NUL)
		1.1.533 Odd Generalized Exponentiated Inverse Lomax (OGE-IL)
		1.1.534 Marshall-Olkin Inverse-Lomax (MO-IL)
		1.1.535 Odd Lindley-Rayleigh (OLR)
		1.1.536 Cubic Transmuted Gompertz (CTG)
		1.1.537 Type II Topp-Leone-Power Lomax (TIITL-PL)
		1.1.538 Odd Lindley Inverse Exponential (OLINEX)
		1.1.539 New Generalized Rayleigh (NGR)
		1.1.540 Marshall-Olkin Power GeneralizedWeibull (MOPGW)
		1.1.541 Type II Topp-Leone Power Ishita (TIITLPI-G)
		1.1.542 Weighted Inverse Nakagami (WINK)
		1.1.543 Generalized Marshall-Olkin Poisson-G (GMOP-G)
		1.1.544 Half-Logistic XGamma (HLXG)
		1.1.545 Log-Gamma-Generated (LGG1)
		1.1.546 Log-Gamma-Generated (LGG2)
		1.1.547 McDonald Gumbel (MG)
		1.1.548 Alpha-Beta Skew Logistic G (ABSLG)
		1.1.549 Generalized Transmuted Poisson-G (GTPG)
		1.1.550 Generalized Marshall-Olkin Transmuted-G (GMOT-G)
		1.1.551 Generalized Odd Linear Exponential (GOLE)
		1.1.552 Exponentiated Odd Chen-G (EOCh-G)
		1.1.553 Transmuted Complementary Exponential Power (TCEP)
		1.1.554 Hyperbolic CosineWeibull (HCW)
		1.1.555 Burr X Exponential-G (BXE-G)
		1.1.556 Extended Generalized Inverse Exponential (EGIEx)
		1.1.557 Weibull-Negative Binomial (WNB)
		1.1.558 Unit Generalized Half Normal (UGHN)
		1.1.559 Generalization of Exponential and Lindley (GEL)
		1.1.560 Unit Nadarajah-HaghighiGenerated (UNH-G)
		1.1.561 Lomax D function GeneralizedWeibull (LDGW)
		1.1.562 Right Truncated Power Lomax (RTPL)
		1.1.563 Exponentiated Garima (EG)
		1.1.564 New ExtendedWeibull (NEW)
		1.1.565 Kumarswamy Sushila (KwS)
		1.1.566 Alpha Power Transformed Inverse Lomax (APTIL)
		1.1.567 New Extended-F (NE-F)
		1.1.568 Topp-Leone Rayleigh (TLR)
		1.1.569 Marshall-Olkin Topp Leone-G (MOTL-G)
		1.1.570 Right Truncated-X (RT-X)
		1.1.571 Generalized Marshall-Olkin Inverse Lindley (GMOIL)
		1.1.572 Generalized Reciprocal Exponential (GRE)
		1.1.573 Generalized Transmuted Moment Exponential (GTME)
		1.1.574 GeneralizedWeighted Exponential (GWEx)
		1.1.575 Exponentiated Transmuted Length-Biased Exponential (ETLBE)
		1.1.576 Gamma Inverse Weibull (GIW)
		1.1.577 Transmuted Alpha Power-G (TAPO-G)
		1.1.578 Exponentiated Poisson-Exponential (EPE)
		1.1.579 Exponentiated Power Function (EPF)
		1.1.580 Alpha Logarithmic Transformed Weibull (ALTW)
		1.1.581 Odd Exponentiated Half-Logistic Exponential (OEHLEx)
		1.1.582 Odd Burr III Exponential (OBIIIE)
		1.1.583 Rayleigh-Geometric (RG)
		1.1.584 Weibull Exponentiated Exponential (WEE)
		1.1.585 Logistic Exponential (LE)
		1.1.586 Generalized Gamma-G (GG-G)
		1.1.587 Exponentiated Shanker (E-Sh)
		1.1.588 Extended Generalized Lindley (EGL)
		1.1.589 Ristic-Balakrishnan Odd Log-Logistic-G (RBOLL-G)
		1.1.590 Burr XII Exponentiated Exponential (BrXIIEE)
		1.1.591 Mixture Pareto Log-Gamma (MPLG)
		1.1.592 Exponentiated Two Parameter Pranav (ETPP)
		1.1.593 New Lifetime Exponential-Weibull (NLTE-W)
		1.1.594 New Cubic Rank Transmutation (NCRT)
		1.1.595 Alpha Power Exponentiated Exponential (APExE)
		1.1.596 Odd Fréchet Inverse Lomax (OFIL)
		1.1.597 Topp-Leone Power Lindley (TLPL)
		1.1.598 Gull Alpha Power (GAP)
		1.1.599 Modi Generator (MG)
		1.1.600 Cubic Transmuted Exponentiated Pareto-1 (CTEP-1-G)
		1.1.601 Cubic Transmuted Exponentiated Pareto-1 (CTEP-1-R)
		1.1.602 Slashed Quasi-Gamma (SQG)
		1.1.603 Log-Epsilon-Skew Normal (LESN)
		1.1.604 Generalized Odd Log-Logistic Log-Normal (GOLLLN)
		1.1.605 Slash Power Maxwell (SPM)
		1.1.606 Modified Slashed Half-Normal (MSHN)
		1.1.607 One Parameter Polynomial Exponential-G (OPPE-G)
		1.1.608 Beta Burr Type X (BBX)
		1.1.609 Gamma Burr Type X (GBX)
		1.1.610 Weibull Burr Type X (WBX)
		1.1.611 Extended OddWeibull-G (ExOW-G)
		1.1.612 Sinh Inverted Exponential (SIE)
		1.1.613 Exponential Skew-Normal (ESN)
		1.1.614 T-Burr (T-Burr{Y})
		1.1.615 Transmuted General (T-G)
		1.1.616 Odd Gamma Weibull-Geometric (OGWG)
		1.1.617 Generalized Inverted Kumarswamy Generated (GIKw-G)
		1.1.618 Gamma Kumarswamy-G (GKw-G)
		1.1.619 Weibull Burr XII (WBXII)
		1.1.620 Odd Generalized Gamma-G (OGG-G or GG-G)
		1.1.621 Marshall-Olkin Odd Burr III-G (MOOB-G)
		1.1.622 Gamma Power Half-Logistic (GPHL)
		1.1.623 Topp-LeoneWeibull-Lomax (TLWLx)
		1.1.624 Minimum Weibull-Burr (minWB)
		1.1.625 Box-Cox Gamma-G (BCG-G)
		1.1.626 Modified Beta Generalized Linear Failure Rate (MBGLFR)
		1.1.627 New Modified Burr III (NMBIII)
		1.1.628 Inverted Modified Lindley (IML)
		1.1.629 Type II General Inverse Exponential (TIIGIE)
		1.1.630 Exponentiated Half-Logistic Lomax (EHLLx)
		1.1.631 Generalized Gamma-Generalized Inverse Weibull (GG-GIW)
		1.1.632 Log-Weighted Exponential (log-WE)
		1.1.633 Generalized Raised Cosine (GENRC)
		1.1.634 Sine Kumarswamy-G (SK-G)
		1.1.635 Extended Exp-G (EE-G)
		1.1.636 Weighted Exponential (WE)
		1.1.637 Lindley Negative-Binomial (LNB)
		1.1.638 Marshall-Olkin Transmuted-G (MOT-G)
		1.1.639 Ratio of Two IndependentWeibull and Lindley (RTIWL)
		1.1.640 Product of Two IndependentWeibull and Lindley (PTIWL)
		1.1.641 Modified Kies Generalized (MKi-G)
		1.1.642 Ratio Exponentiated General (RE-G)
		1.1.643 Gompertz Exponential (GoEp)
		1.1.644 Minimum Gumbel Burr (minGuBu)
		1.1.645 Transmuted Power Gompertz (TPG)
		1.1.646 Burr X-G (BX-G)
		1.1.647 Hamza (Hamza)
		1.1.648 Inverse Lomax-G (IL-G)
		1.1.649 Zubair-Inverse Lomax (ZIL)
		1.1.650 Skew Scale Mixtures Normal (SSMN)
		1.1.651 Akash (Akash)
		1.1.652 A Generalization of Sujatha (AGS)
		1.1.653 Two-Parameter Sujatha (TPS)
		1.1.654 New Two-Parameter Sujatha (NTPS)
		1.1.655 Another Two-Parameter Sujatha (ATPS)
		1.1.656 Lomax Inverse Weibull (LxIW)
		1.1.657 Odd Burr Generalized Rayleigh (OBGR)
		1.1.658 Marshall-Olkin Lehmann Burr X (MOLBX)
		1.1.659 Transmuted Topp-LeoneWeibull (TTL-W)
		1.1.660 Burr X Generalized Burr XII (BXGBXII)
		1.1.661 Generalized Odd Generalized Exponential Fréchet (GOGEFr)
		1.1.662 Topp-Leone Lindley (TLLi)
		1.1.663 Logarithmic Transformed Inverse Weibull (LTIW)
		1.1.664 Kumarswamy Alpha Power-G (KAP-G)
		1.1.665 Flexible Weibull Burr XII (FWBXII)
		1.1.666 Extended Poisson Lomax (EPLx)
		1.1.667 Unit Johnson SU (UJSU)
Chapter 2Characterizations of Distributions
	2.1 Characterizations Based on Two TruncatedMoments
	2.2 Characterization in Terms of Hazard Function
	2.3 Characterization in Terms of the Reverse (or Reversed)Hazard Function
	2.4 Characterization Based on the Conditional Expectation ofCertain Function of the Random Variable
Appendix
References
About the Author
Index
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