Mathematical and Statistical Models and Methods in Reliability: Applications to Medicine, Finance, and Quality Control

Front Matter....Pages i-xxvi
Front Matter....Pages 1-1
Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space....Pages 3-18
Nonlinearly Perturbed Stochastic Processes and Systems....Pages 19-37
On a Copula for Failure Times of System Elements....Pages 39-50
On One Method of Reliability Coefficients Calculation for Objects in Non-Homogeneous Event Flows....Pages 51-67
A New Approach to Maintenance Optimization by Modeling Intensity Control....Pages 69-85
Longitudinal Latent Markov Processes Observable Through an Invariant Rasch Model....Pages 87-100
Dynamics of Dependence Properties for Lifetimes Influenced by Unobservable Environmental Factors....Pages 101-112
On Alternative of Choice for a Prophylaxis Problem....Pages 113-122
Optimal Incomplete Maintenance for Systems with Discrete Time-to-Failure Distribution....Pages 123-132
A Gini-Type Index for Aging/Rejuvenating Objects....Pages 133-140
Redundancy Analysis for Multi-state System: Reliability and Financial Assessment....Pages 141-157
On the Reliability Modeling of Hierarchical Systems....Pages 159-174
Front Matter....Pages 175-175
Parametric Estimation of Redundant System Reliability From Censored Data....Pages 177-191
Assessing Accuracy of Statistical Inferences by Resamplings....Pages 193-206
Change Point Estimation in Regression Models with Fixed Design....Pages 207-221
A Model for Field Failure Prediction Using Dynamic Environmental Data....Pages 223-233
Efficient Regression Estimation Under General Censoring and Truncation....Pages 235-241
On Generalized Tests of Fit for Multinomial Populations....Pages 243-254
Modeling and Scaling of Categorical Data....Pages 255-264
Nonparametric Estimation and Testing the Effect of Covariates in Accelerated Life Time Models Under Censoring....Pages 265-276
Front Matter....Pages 175-175
Nonparametric Estimation of Time Trend for Repairable Systems Data....Pages 277-288
Confidence Region for Distribution Function from Censored Data....Pages 289-295
Empirical Estimate with Uniformly Minimal d -Risk for Bernoulli Trials Success Probability....Pages 297-306
Estimation of Archival Lifetime Distribution for Writable Optical Disks from Accelerated Testings....Pages 307-313
Front Matter....Pages 315-315
Ages in Reliability and Bio Systems, Interpretations, Control, and Applications....Pages 317-334
Shocks in Mixed Populations....Pages 335-344
Bayesian Estimation of Degradation Model Defined by a Wiener Process....Pages 345-357
Benefits of Threshold Regression: A Case-Study Comparison with Cox Proportional Hazards Regression....Pages 359-370
Optimal Stopping and Reselling of European Options....Pages 371-389
Bayesian Modeling of Health State Preferences....Pages 391-399
Information Measures in Biostatistics and Reliability Engineering....Pages 401-413
Front Matter....Pages 415-415
Software System for Simulation and Research of Probabilistic Regularities and Statistical Data Analysis in Reliability and Quality Control....Pages 417-432
Inverse Gaussian Model and Its Applications in Reliability and Survival Analysis....Pages 433-453
Back Matter....Pages 455-457