Statistical Models and Methods for Biomedical and Technical Systems

An outgrowth of the International Conference on Statistical Models for Biomedical and Technical Systems, this book is comprised of contributions from renowned experts. These contributions demonstrate the significance of current research on the theory, methods, and applications of statistical models and methods. The chapters, which deal primarily with the mathematical aspects of survival analysis and reliability, consist of a selection of invited and contributed papers reflecting recent developments in these areas. Readers discover many real-world applications of epidemiology, aging, survival analysis, and modeling in the biosciences and medicine. The book is useful to a broad interdisciplinary readership in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and applied reliability.

Real-world applications to epidemiology, aging, survival analysis, and modeling in the biosciences and medicine Chapters deal primarily with the mathematical aspects of survival analysis and reliability Features a careful selection of invited and contributed papers Demonstrates the significance of current research on the theory, methods, and applications of the field Accessible to a broad interdisciplinary readership of researchers and practitioners in applied probability and statistics, industrial statistics, biomedicine, biostatistics, and engineering Includes supplementary material: sn.pub/extras

Klappentext

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.

  Inhalt
  Cox Models, Analyses, and Extensions.- Extended Cox and Accelerated Models in Reliability, with General Censoring and Truncation.- Corrected Score Estimation in the Cox Regression Model with Misclassified Discrete Covariates.- A Varying-Coefficient Hazards Regression Model for Multiple Cross-Effect.- Closure Properties and Diagnostic Plots for the Frailty Distribution in Proportional Hazards Models.- Multivariate Survival Data With Censoring.- Reliability TheoryDegradation Models.- Virtual (Biological) Age Versus Chronological Age.- A Competing Risks Model for Degradation and Traumatic Failure Times.- Generalized Birth and Death Processes as Degradation Models.- Nonperiodic Inspections to Guarantee a Prescribed Level of Reliability.- Optimal Incomplete Maintenance for Weibull Failure Processes.- Are Nonhomogeneous Poisson Process Models Preferable to General-Order Statistics Models for Software Reliability Estimation?.- Multistate System Reliability Assessment by Using the Markov Reward Model.- Inferential Analysis.- Asymptotic Certainty Bands for Kernel Density Estimators Based upon a Bootstrap Resampling Scheme.- Estimation of Rescaled Distribution.- Nested Plans for Sequential Change Point DetectionThe Parametric Case.- Sampling in Survival Analysis and Estimation with Unknown Selection Bias and Censoring.- Testing the Acceleration Function in Lifetime Models.- Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing.- Goodness-of-Fit Tests for Pareto Distribution.- Application of Inverse Problems in Epidemiology and Biodemography.- Analysis of Censored Data.- A Sampling-Based Chi-Squared Test for Interval-Censored Data.- Semiparametric Regression Models for Interval-Censored Survival Data, With and Without Frailty Effects.- Exact Likelihood Inference for an Exponential Parameter Under Progressive Hybrid Censoring Schemes.- Quality of Life.- Sequential Analysis of Quality-of-Life Measurements Using Mixed Rasch Models.- Measuring Degradation of Quality-of-Life Related to Pollution in the SEQAP Study.- A Bayesian Ponders The Quality of Life.- Inference for Processes.- On the Goodness-of-Fit Tests for Some Continuous Time Processes.- Nonparametric Estimation of Integral Functionals for Semi-Markov Processes with Application in Reliability.- Estimators for Partially Observed Markov Chains.- On Solving Statistical Problems for the Stochastic Processes by the Sufficient Empirical Averaging Method.- Designs.- Adaptive Designs for Group Sequential Clinical Survival Experiments.- Optimal Two-Treatment Repeated Measurement Designs for Two Periods.- Measures of Divergence, Model Selection, and Survival Models.- Discrepancy-Based Model Selection Criteria Using Cross-Validation.- Focused Information Criteria for the Linear Hazard Regression Model.- On Measures of Information and Divergence and Model Selection Criteria.- Entropy and Divergence Measures for Mixed Variables.- New Statistical Challenges.- Clinical Trials and the Genomic Evolution: Some Statistical Perspectives.