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Detailed review of: 

Modern Statistical & Mathematical Methods in Reliability




World Scientific, Singapore




Alyson Wilson, N. Limnios, Sallie Keller-McNulty & Y. Armijo




Modern Statistical & Mathematical Methods in Reliability


Year of Publication














Krishna B. Misra




Review published in IJPE, Vol. 3, No. 2, April. 2007, p. 291.

This book is basically a research monograph prepared from selected reviewed papers originally presented

Modern Statistica and Mathematical Methods in Reliability

at the fourth International Conference on Mathematical Methods in Reliability (MMR 2004) hosted by Los Alamos National Laboratory (LALN) and the National Institute of Statistical Sciences, June 21-25, 2004 in Santa Fe, New Mexico. This 28-chapter book presents an array of recent, significant developments taking place in reliability theory and statistical methods and their applications.  Papers report on topics such as reliability modeling, network and system reliability, Bayesian methods, Bayesian Nets, survival analysis, end of life analysis, dynamic phased mission systems, accelerated life testing, sampling methods, warranty models, degradation and maintenance modeling, imperfect repair models, software reliability, flow-graph models and Binary representation for multi-state systems, etc.

This book is valuable to anyone interested in reliability, since it contributes to and guides some very important directions in reliability and statistical methods. For example, Vicki Bier's paper, Game-Theoretic and Reliability Methods in Counter-Terrorism and Security, makes an important contribution to reliability analysis, particularly when the traditional reliability analyses are ineffective for predicting the adequacy of protection of technological systems against intentional attacks.   Her unique solution suggests the use of Game theory and reliability analyses to defend systems against attacks by knowledgeable and adaptable adversaries.  Further the reviewer appreciates highly of the effort of the authors of the chapter on End of Life Analysis in which an attempt is made to discuss the consequences of implementing WEEE directives on reliability of products and systems and on their design. This is a new direction for research in reliability theory and its application.

The chapters include such topics as Competing Risk Modeling in Reliability (T. Bedford); Tests for Some Statistical Hypotheses for Dependent Competing Risks (Isha Dewan and J.V. Deshpande); Regression Models for Reliability Given the Usage Accumulation History (T. Duchesne); Bayesian Methods for Assessing System Reliability: Models and Computation (T. Graves and M. Hamada); Dynamic Modeling in Reliability and Survival Analysis (E. A. Peña & E. Slate); End of Life Analysis (H. Wynn, et al.); Reliability Analysis of a Dynamic Phased Mission System (M. Bouissou, et al.); Sensitivity Analysis of Accelerated Life Tests with Competing Failure Modes (C. Bunea, et al.); Estimating Mean Cumulative Functions from Truncated Automotive Warranty Data (S. Chukova, et al); Repair Efficiency Estimation in ARI1 Imperfect Repair Model ( L. Doyen); Effects of Uncertainties in Components on the Survival of Complex Systems with Given Dependencies (A. Gandy); Reliability Analysis of Renewable Redundant Systems with Unreliable Monitoring and Switching (Y. Genis and I. Ushakov); Flowgraph Models for Complex Multi-state System Reliability (A. Huzurbazar and B. Wlliams); Interpretation of Condition Monitoring Data (A.S.K. Jardine, et al.); Binary Representations of Multi-state Systems (E. Korczak); Distribution Free Continuous Bayesian Belief Functions ( D. Kurowicka & R. Cooke); Statistical Modeling and Inference for Component Failure Times Under Preventive Maintenance and Independent Censoring ( Bo H. Lindqvist & H. Langseth); From Artificial Intelligence to Dependability: Modeling and Analysis with Bayesian Networks (L. Portinale, et al.); etc.

Modern Statistical & Mathematical Methods in Reliability offers extensive coverage and important insights into recent innovations in the field of reliability and related advances in statistical methods.  This reviewer recommends this book as a key tool for researchers, engineers, students, teachers, and practitioners interested in keeping current with the latest developments in reliability engineering.

Krishna B. Misra


Review published in the International Journal of Performability Engineering, Vol. 3, No. 2, April 2007 , p. 291. 


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