Statistical Models and Methods for Biomedical and Technical Systems (eBook)

Contents 6
Preface 19
Contributors 21
List of Tables 28
List of Figures 31
PART I Cox Models, Analyses, and Extensions 35
1 Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncation 36
2 Corrected Score Estimation in the Cox Regression Model with Misclassified Discrete Covariates 55
3 A Varying-Coeffcient Hazards Regression Model for Multiple Cross-E.ect 65
4 Closure Properties and Diagnostic Plots for the Frailty Distribution in Proportional Hazards Models 75
5 Multivariate Survival Data With Censoring 86
PART II Reliability Theory—Degradation Models 97
6 Virtual (Biological) Age Versus Chronological Age 98
7 A Competing Risks Model for Degradation and Traumatic Failure Times 111
8 Generalized Birth and Death Processes as Degradation Models 122
9 Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability 135
10 Optimal Incomplete Maintenance for Weibull Failure Processes 152
11 Are Nonhomogeneous Poisson Process Models Preferable to General-Order Statistics Models for Software Reliability Estimation? 161
12 Multistate System Reliability Assessment by Using the Markov Reward Model 177
PART III Inferential Analysis 193
13 Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling Scheme 194
14 Estimation of Rescaled Distribution 210
15 Nested Plans for Sequential Change Point Detection—The Parametric Case 222
16 Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoring 235
17 Testing the Acceleration Function in Lifetime Models 247
18 Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing 262
19 Goodness-of-Fit Tests for Pareto Distribution 280
20 Application of Inverse Problems in Epidemiology and Biodemography 296
PART IV Analysis of Censored Data 313
21 A Sampling-Based Chi-Squared Test for Interval-Censored Data 314
22 Semiparametric Regression Models for Interval-Censored Survival Data, With and Without Frailty E.ects 326
23 Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes 337
PART V Quality of Life 349
24 Sequential Analysis of Quality-of-Life Measurements Using Mixed Rasch Models 350
25 Measuring Degradation of Quality-of-Life Related to Pollution in the SEQAP Study 365
26 A Bayesian Ponders “The Quality of Life” 384
27 On the Goodness-of-Fit Tests for Some Continuous Time Processes 398
28 Nonparametric Estimation of Integral Functionals for Semi-Markov Processes with Application in Reliability 417
29 Estimators for Partially Observed Markov Chains 431
30 On Solving Statistical Problems for the Stochastic Processes by the Su.cient Empirical Averaging Method 446
31 Adaptive Designs for Group Sequential Clinical Survival Experiments 457
32 Optimal Two-Treatment Repeated Measurement Designs for Two Periods 470
PART VIII Measures of Divergence, Model Selection, and Survival Models 480
33 Discrepancy-Based Model Selection Criteria Using Cross-Validation 481
34 Focused Information Criteria for the Linear Hazard Regression Model 495
35 On Measures of Information and Divergence and Model Selection Criteria 511
36 Entropy and Divergence Measures for Mixed Variables 527
PART IX New Statistical Challenges 543
37 Clinical Trials and the Genomic Evolution: Some Statistical Perspectives 544
Index 559