Statistical Models and Methods for Biomedical and Technical Systems

✍ Scribed by Catherine Huber-Carol, Mikhail Nikulin (auth.), Filia Vonta, Mikhail Nikulin, Nikolaos Limnios, Catherine Huber-Carol (eds.)

• Publisher: Birkhäuser Basel
• Year: 2008
• Tongue: English
• Leaves: 560
• Series: Statistics for Industry and Technology
• Edition: 1
• Category: Library

✦ Synopsis

An outgrowth of the "International Conference on Statistical Models for Biomedical and Technical Systems," this book is comprised of contributions from renowned experts, demonstrating the significance of current research on theory, methods, and applications of the field. The contributions, which deal with the mathematical aspects of survival analysis and reliability as well as other topics, are a careful selection of invited and contributed chapters, reflecting recent developments in the following areas:

* Applications in epidemiology

* Estimation and testing for stochastic processes

* Generalizations of the Cox regression model

* Probabilistic and statistical models and methods in reliability

* Semi-parametric inference in survival analysis

* Models and methods in survival analysis, longevity, aging, and degradation

* Nonparametric estimation – Goodness-of-fit tests

* Accelerated life models

* Quality of life

* Analysis of censored data

* Adaptive and repeated measurements designs

* Measures of divergence, model selection, and survival models

* New statistical challenges in genomics

The book will be useful to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering. Practitioners and researchers in academia will gain insight and new ideas for exploring this fertile area of research.

✦ Table of Contents

Front Matter....Pages i-xxxvi
Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncation....Pages 3-21
Corrected Score Estimation in the Cox Regression Model with Misclassified Discrete Covariates....Pages 23-32
A Varying-Coefficient Hazards Regression Model for Multiple Cross-Effect....Pages 33-42
Closure Properties and Diagnostic Plots for the Frailty Distribution in Proportional Hazards Models....Pages 43-53
Multivariate Survival Data With Censoring....Pages 55-65
Virtual (Biological) Age Versus Chronological Age....Pages 69-81
A Competing Risks Model for Degradation and Traumatic Failure Times....Pages 83-93
Generalized Birth and Death Processes as Degradation Models....Pages 95-107
Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability....Pages 109-125
Optimal Incomplete Maintenance for Weibull Failure Processes....Pages 127-135
Are Nonhomogeneous Poisson Process Models Preferable to General-Order Statistics Models for Software Reliability Estimation?....Pages 137-152
Multistate System Reliability Assessment by Using the Markov Reward Model....Pages 153-168
Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling Scheme....Pages 171-186
Estimation of Rescaled Distribution....Pages 187-198
Nested Plans for Sequential Change Point Detection—The Parametric Case....Pages 199-211
Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoring....Pages 213-224
Testing the Acceleration Function in Lifetime Models....Pages 225-239
Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing....Pages 241-258
Goodness-of-Fit Tests for Pareto Distribution....Pages 259-274
Application of Inverse Problems in Epidemiology and Biodemography....Pages 275-291
A Sampling-Based Chi-Squared Test for Interval-Censored Data....Pages 295-306
Semiparametric Regression Models for Interval-Censored Survival Data, With and Without Frailty Effects....Pages 307-317
Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes....Pages 319-330
Sequential Analysis of Quality-of-Life Measurements Using Mixed Rasch Models....Pages 333-347
Measuring Degradation of Quality-of-Life Related to Pollution in the SEQAP Study....Pages 349-367
A Bayesian Ponders “The Quality of Life”....Pages 369-381
On the Goodness-of-Fit Tests for Some Continuous Time Processes....Pages 385-403
Nonparametric Estimation of Integral Functionals for Semi-Markov Processes with Application in Reliability....Pages 405-418
Estimators for Partially Observed Markov Chains....Pages 419-433
On Solving Statistical Problems for the Stochastic Processes by the Sufficient Empirical Averaging Method....Pages 435-444
Adaptive Designs for Group Sequential Clinical Survival Experiments....Pages 447-459
Optimal Two-Treatment Repeated Measurement Designs for Two Periods....Pages 461-470
Discrepancy-Based Model Selection Criteria Using Cross-Validation....Pages 473-486
Focused Information Criteria for the Linear Hazard Regression Model....Pages 487-502
On Measures of Information and Divergence and Model Selection Criteria....Pages 503-518
Entropy and Divergence Measures for Mixed Variables....Pages 519-534
Clinical Trials and the Genomic Evolution: Some Statistical Perspectives....Pages 537-551
Back Matter....Pages 553-555

✦ Subjects

Statistics for Life Sciences, Medicine, Health Sciences; Statistical Theory and Methods; Mathematical Modeling and Industrial Mathematics; Probability Theory and Stochastic Processes; Applications of Mathematics