Reliability modelling and analysis in discrete time. (2018)

• Record Type: Book
• Further Information: Note: N. Unnikrishnan Nair, P.G. Sankaran, N. Balakrishnan.
• Authors: Nair, N. Unnikrishnan; Sankaran, P. G; Balakrishnan, N, 1956-
• 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 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 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 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 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
• Publisher Details: London, United Kingdom : Academic Press, an imprint of Elsevier
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 620/.00452; Reliability (Engineering); Reliability (Engineering) -- Mathematical models; TECHNOLOGY & ENGINEERING / Engineering (General); TECHNOLOGY & ENGINEERING / Reference; Electronic books
• Languages: English
• ISBNs: 9780128020067; 0128020067
• Related ISBNs: 9780128019139
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (ScienceDirect, viewed May 23, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.