Statistical Models and Methods for Biomedical and Technical Systems [electronic resource] / edited by Filia Vonta, Mikhail Nikulin, Nikolaos Limnios, Catherine Huber-Carol.

Contributor(s): Vonta, Filia [editor.] | Nikulin, Mikhail [editor.] | Limnios, Nikolaos [editor.] | Huber-Carol, Catherine [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Statistics for Industry and Technology: Publisher: Boston, MA : Birkhäuser Boston, 2008Description: XXXVI, 556 p. 55 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780817646196Subject(s): Medicine | Epidemiology | Applied mathematics | Engineering mathematics | Mathematical models | Statistics | Biomedical engineering | Medicine & Public Health | Epidemiology | Biomedical Engineering | Applications of Mathematics | Statistics for Life Sciences, Medicine, Health Sciences | Statistical Theory and Methods | Mathematical Modeling and Industrial MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 614.4 LOC classification: RA648.5-654Online resources: Click here to access online
Contents:
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 Theory—Degradation 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 Detection—The 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.
In: Springer eBooksSummary: 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.
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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 Theory—Degradation 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 Detection—The 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.

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.

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