Sampling theory and methods

Preface......Page 5
Contents......Page 6
1.1 Basic Definitions......Page 8
1.2 Estimation of Population Total......Page 10
1.3 Problems and Solutions......Page 15
2.1 Simple Random Sampling......Page 17
2.2 Estimation of Total......Page 18
2.3 Problems and Solutions......Page 23
3.2 Linear Systematic Sampling......Page 36
3.3 Schemes for Populations with Linear Trend......Page 41
3.4 Autocorrelated Populations......Page 46
3.5 Estimation of Variance......Page 49
3.6 Circular Systematic Sampling......Page 50
3.7 Systematic Sampling in Two Dimensions......Page 51
3.8 Problems and Solutions......Page 54
4.1 PPSWR Sampling Method......Page 62
4.2 PPSWOR Sampling Method......Page 67
4.3 Random Group Method......Page 70
4.4 Midzuno scheme......Page 74
4.5 PPS Systematic Scheme......Page 77
4.6 Problems and Solutions......Page 78
5.1 Introduction......Page 83
5.2 Sample Size Allocation......Page 86
5.3 Comparision with Other Schemes......Page 93
5.4 Problems and Solutions......Page 96
6.2 Ratio Estimation......Page 104
6.3 Unbiased Ratio Type Estimators......Page 107
6.4 Almost Unbiased Ratio Estimators......Page 109
6.5 Jackknife Ratio Estimator......Page 111
6.6 Bound for Bias......Page 112
6.7 Product Estimation......Page 113
6.8 Two Phase Sampling......Page 115
6.9 Use of Multi-auxiliary Information......Page 120
6.10 Ratio Estimation in Stratified Sampling......Page 122
6.11 Problems and Solutions......Page 124
7.1 Introduction......Page 129
7.2 Difference Estimation......Page 131
7.3 Double Sampling in Difference Estimation......Page 132
7.4 Multivariate Difference Estimator......Page 133
7.5 Inference under Super Population Models......Page 136
7.6 Problems and Solutions......Page 144
8.2 Estimation under Cluster Sampling......Page 147
8.3 Multistage Sampling......Page 150
9.1 Incomplete Surveys......Page 159
9.2 Randomised Response Methods......Page 165
9.3 Observational Errors......Page 168
10.1 Adaptive Sampling......Page 172
10.2 Estimation of Distribution Functi\'ons......Page 178
10.3 Randomsed Response Methods for Quantitative Data......Page 181
References......Page 186
Index......Page 190