Vonta / Nikulin / Limnios Statistical Models and Methods for Biomedical and Technical Systems

1. Auflage 2008
ISBN: 978-0-8176-4619-6
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 556 Seiten

Reihe: Statistics for Industry and Technology

This book deals with the mathematical aspects of survival analysis and reliability as well as other topics, reflecting recent developments in the following areas: applications in epidemiology; probabilistic and statistical models and methods in reliability; models and methods in survival analysis, longevity, aging, and degradation; accelerated life models; quality of life; new statistical challenges in genomics. The work will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering.

Autoren/Hrsg.

Vonta, Filia

Nikulin, M. S.

Limnios, Nikolaos

Huber-Carol, Catherine

Inhaltsverzeichnis

1;Contents;6
2;Preface;19
3;Contributors;21
4;List of Tables;28
5;List of Figures;31
6;PART I Cox Models, Analyses, and Extensions;35
6.1;1 Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncation;36
6.2;2 Corrected Score Estimation in the Cox Regression Model with Misclassified Discrete Covariates;55
6.3;3 A Varying-Coeffcient Hazards Regression Model for Multiple Cross-E.ect;65
6.4;4 Closure Properties and Diagnostic Plots for the Frailty Distribution in Proportional Hazards Models;75
6.5;5 Multivariate Survival Data With Censoring;86
7;PART II Reliability Theory—Degradation Models;97
7.1;6 Virtual (Biological) Age Versus Chronological Age;98
7.2;7 A Competing Risks Model for Degradation and Traumatic Failure Times;111
7.3;8 Generalized Birth and Death Processes as Degradation Models;122
7.4;9 Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability;135
7.5;10 Optimal Incomplete Maintenance for Weibull Failure Processes;152
7.6;11 Are Nonhomogeneous Poisson Process Models Preferable to General-Order Statistics Models for Software Reliability Estimation?;161
7.7;12 Multistate System Reliability Assessment by Using the Markov Reward Model;177
8;PART III Inferential Analysis;193
8.1;13 Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling Scheme;194
8.2;14 Estimation of Rescaled Distribution;210
8.3;15 Nested Plans for Sequential Change Point Detection—The Parametric Case;222
8.4;16 Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoring;235
8.5;17 Testing the Acceleration Function in Lifetime Models;247
8.6;18 Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing;262
8.7;19 Goodness-of-Fit Tests for Pareto Distribution;280
8.8;20 Application of Inverse Problems in Epidemiology and Biodemography;296
9;PART IV Analysis of Censored Data;313
9.1;21 A Sampling-Based Chi-Squared Test for Interval-Censored Data;314
9.2;22 Semiparametric Regression Models for Interval-Censored Survival Data, With and Without Frailty E.ects;326
9.3;23 Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes;337
10;PART V Quality of Life;349
10.1;24 Sequential Analysis of Quality-of-Life Measurements Using Mixed Rasch Models;350
10.2;25 Measuring Degradation of Quality-of-Life Related to Pollution in the SEQAP Study;365
10.3;26 A Bayesian Ponders “The Quality of Life”;384
10.4;27 On the Goodness-of-Fit Tests for Some Continuous Time Processes;398
10.5;28 Nonparametric Estimation of Integral Functionals for Semi-Markov Processes with Application in Reliability;417
10.6;29 Estimators for Partially Observed Markov Chains;431
10.7;30 On Solving Statistical Problems for the Stochastic Processes by the Su.cient Empirical Averaging Method;446
10.8;31 Adaptive Designs for Group Sequential Clinical Survival Experiments;457
10.9;32 Optimal Two-Treatment Repeated Measurement Designs for Two Periods;470
11;PART VIII Measures of Divergence, Model Selection, and Survival Models;480
11.1;33 Discrepancy-Based Model Selection Criteria Using Cross-Validation;481
11.2;34 Focused Information Criteria for the Linear Hazard Regression Model;495
11.3;35 On Measures of Information and Divergence and Model Selection Criteria;511
11.4;36 Entropy and Divergence Measures for Mixed Variables;527
12;PART IX New Statistical Challenges;543
12.1;37 Clinical Trials and the Genomic Evolution: Some Statistical Perspectives;544
13;Index;559