| Description |
1 online resource |
| Contents |
Front Cover; Reliability Modelling and Analysis in Discrete Time; Copyright; Dedication; Contents; Authors Biographies; Preface; About the Book; 1 Reliability Theory; 1.1 Reliability Theory; 1.2 Discrete Life Distributions; 1.3 Mixture Distributions; 1.4 Weighted Distributions; 1.5 Convolution; 1.6 Shock Models; 1.7 Convexity and Related Concepts; 1.8 Multivariate Distributions; 1.9 Multivariate Weighted Distributions; 1.10 Dependence Measures and Concepts; 1.10.1 Measures of Dependence; Kendall's Tau; Spearman's Rho; Blomqvist's ß; 1.10.2 Dependence Concepts; 1.10.3 Multivariate Dependence |
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1.10.4 Time-Dependent Measures1.11 Schur Convexity and Concavity; 2 Basic Reliability Concepts; 2.1 Introduction; 2.2 Hazard Rate Function; 2.3 Mean Residual Life; 2.3.1 Modelling Data; 2.4 Variance Residual Life Function; 2.5 Upper Partial Moments; 2.6 Reversed Hazard Rate; 2.7 Reversed Mean Residual Life; 2.8 Reversed Variance Residual Life; 2.9 Odds Function; 2.10 Log-odds Functions and Rates; 2.11 Mixture Distributions; 2.12 Weighted Distributions; 3 Discrete Lifetime Models; 3.1 Introduction; 3.2 Families of Distributions; 3.2.1 Ord Family; 3.2.2 Power Series Family; 3.2.3 Lerch Family |
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Geometric DistributionDiscrete Uniform Distribution; Discrete Pareto; Hurwitz-Zeta Distribution; 3.2.4 Abel Series Distributions; Generalized Poisson Distribution; Quasi-Binomial Distribution I; Quasi-Negative Binomial Distribution; Quasi-Logarithmic Series Distribution; Quasi-Binomial Distribution II; 3.2.5 Lagrangian Family; Haight Distribution; Geeta Distribution; Generalized Geometric Distribution II; 3.3 Discrete Analogues of Continuous Distributions; Discrete Weibull Distribution; Discrete Half-Logistic Distribution; Geometric Weibull Distribution; Telescopic Distributions |
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Discrete Inverse Weibull DistributionDiscrete Generalized Exponential Distribution; Discrete Gamma Distribution; Discrete Lindley Distribution; 3.4 Some Other Models; Discrete Weibull Distribution II; Discrete Weibull Distribution III; S"" Distribution; 4 Discrete Ageing Concepts; 4.1 Introduction; 4.2 Stochastic Orders; 4.3 Classes Based on Hazard Rate; 4.3.1 Monotone Hazard Rates; 4.3.2 Increasing Hazard Rate (2); 4.3.3 Increasing Hazard Rate Average; 4.3.4 Now Better Than Used in Hazard Rate; 4.4 Classes Based on Residual Life; 4.4.1 Decreasing Mean Residual Life |
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4.4.2 Decreasing Mean Residual Life in Harmonic Average4.4.3 Used Better Than Aged; 4.4.4 Decreasing Variance Residual Life; 4.5 Classes Based on Survival Function; 4.5.1 New Better Than Used; 4.5.2 New Better Than Used in Expectation; 4.5.3 Harmonically New Better That Used in Expectation; 4.6 Classes Based on Reliability Functions in Reversed Time; 4.6.1 Decreasing Reversed Hazard Rate; 4.6.2 Increasing Mean Inactivity Time; 4.6.3 Increasing Variance Inactivity Time; 4.7 Ageing Properties for Weighted Distributions; 4.8 Relative Ageing; 4.8.1 Ordering by Ageing Concepts |
| Summary |
Reliability Modelling and Analysis in Discrete Time provides an overview of the probabilistic and statistical aspects connected with discrete reliability systems. This engaging book discusses their distributional properties and dependence structures before exploring various orderings associated between different reliability structures. Though clear explanations, multiple examples, and exhaustive coverage of the basic and advanced topics of research in this area, the work gives the reader a thorough understanding of the theory and concepts associated with discrete models and reliability structures. A comprehensive bibliography assists readers who are interested in further research and understanding. Requiring only an introductory understanding of statistics, this book offers valuable insight and coverage for students and researchers in Probability and Statistics, Electrical Engineering, and Reliability/Quality Engineering. The book also includes a comprehensive bibliography to assist readers seeking to delve deeper. Includes a valuable introduction to Reliability Theory before covering advanced topics of research and real world applications Features an emphasis on the mathematical theory of reliability modeling Provides many illustrative examples to foster reader understanding |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (ScienceDirect, viewed May 23, 2018) |
| Subject |
Reliability (Engineering)
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Reliability (Engineering) -- Mathematical models
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Reliability (Engineering)
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Reliability (Engineering) -- Mathematical models
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| Form |
Electronic book
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| Author |
Sankaran, P. G., author.
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Balakrishnan, N., 1956- author.
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| ISBN |
9780128020067 |
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0128020067 |
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