Mathematical and Statistical Models and Methods in Reliability: Applications to Medicine, Finance, and Quality Control

✍ Scribed by V. S. Koroliuk, N. Limnios (auth.), V.V. Rykov, N. Balakrishnan, M.S. Nikulin (eds.)

• Publisher: Birkhäuser Basel
• Year: 2010
• Tongue: English
• Leaves: 485
• Series: Statistics for Industry and Technology
• Edition: 1
• Category: Library

✦ Synopsis

An outgrowth of the sixth conference on “Mathematical Methods in Reliability: Theory, Methods, and Applications,” this book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability.

Written by recognized experts in the field of reliability, the contributions cover a wide range of models, methods, and applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation.

The volume is thematically organized into four major sections:

* Reliability Models, Methods, and Optimization;

* Statistical Methods in Reliability;

* Applications;

* Computer Tools for Reliability.

Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.

✦ Table of Contents

Front Matter....Pages i-xxvi
Front Matter....Pages 1-1
Reliability of Semi-Markov Systems with Asymptotic Merging Phase Space....Pages 3-18
Nonlinearly Perturbed Stochastic Processes and Systems....Pages 19-37
On a Copula for Failure Times of System Elements....Pages 39-50
On One Method of Reliability Coefficients Calculation for Objects in Non-Homogeneous Event Flows....Pages 51-67
A New Approach to Maintenance Optimization by Modeling Intensity Control....Pages 69-85
Longitudinal Latent Markov Processes Observable Through an Invariant Rasch Model....Pages 87-100
Dynamics of Dependence Properties for Lifetimes Influenced by Unobservable Environmental Factors....Pages 101-112
On Alternative of Choice for a Prophylaxis Problem....Pages 113-122
Optimal Incomplete Maintenance for Systems with Discrete Time-to-Failure Distribution....Pages 123-132
A Gini-Type Index for Aging/Rejuvenating Objects....Pages 133-140
Redundancy Analysis for Multi-state System: Reliability and Financial Assessment....Pages 141-157
On the Reliability Modeling of Hierarchical Systems....Pages 159-174
Front Matter....Pages 175-175
Parametric Estimation of Redundant System Reliability From Censored Data....Pages 177-191
Assessing Accuracy of Statistical Inferences by Resamplings....Pages 193-206
Change Point Estimation in Regression Models with Fixed Design....Pages 207-221
A Model for Field Failure Prediction Using Dynamic Environmental Data....Pages 223-233
Efficient Regression Estimation Under General Censoring and Truncation....Pages 235-241
On Generalized Tests of Fit for Multinomial Populations....Pages 243-254
Modeling and Scaling of Categorical Data....Pages 255-264
Nonparametric Estimation and Testing the Effect of Covariates in Accelerated Life Time Models Under Censoring....Pages 265-276
Front Matter....Pages 175-175
Nonparametric Estimation of Time Trend for Repairable Systems Data....Pages 277-288
Confidence Region for Distribution Function from Censored Data....Pages 289-295
Empirical Estimate with Uniformly Minimal d -Risk for Bernoulli Trials Success Probability....Pages 297-306
Estimation of Archival Lifetime Distribution for Writable Optical Disks from Accelerated Testings....Pages 307-313
Front Matter....Pages 315-315
Ages in Reliability and Bio Systems, Interpretations, Control, and Applications....Pages 317-334
Shocks in Mixed Populations....Pages 335-344
Bayesian Estimation of Degradation Model Defined by a Wiener Process....Pages 345-357
Benefits of Threshold Regression: A Case-Study Comparison with Cox Proportional Hazards Regression....Pages 359-370
Optimal Stopping and Reselling of European Options....Pages 371-389
Bayesian Modeling of Health State Preferences....Pages 391-399
Information Measures in Biostatistics and Reliability Engineering....Pages 401-413
Front Matter....Pages 415-415
Software System for Simulation and Research of Probabilistic Regularities and Statistical Data Analysis in Reliability and Quality Control....Pages 417-432
Inverse Gaussian Model and Its Applications in Reliability and Survival Analysis....Pages 433-453
Back Matter....Pages 455-457

✦ Subjects

Statistical Theory and Methods; Quality Control, Reliability, Safety and Risk; Applications of Mathematics; Statistics for Life Sciences, Medicine, Health Sciences; Probability Theory and Stochastic Processes; Mathematical Modeling and I