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Analysis of step-stress models : existing results and some recent developments / Debasis Kundu and Ayon Ganguly.

By: Contributor(s): 2017Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780081012406
  • 0081012403
Subject(s): Genre/Form: Additional physical formats: Print version:: No titleLOC classification:
  • TA169.3 .K86 2017eb
Online resources:
Contents:
Front Cover; Analysis of Step-Stress Models: Existing Results and Some Recent Developments; Copyright; Dedication; Contents; Preface; Abbreviations; Symbols; Chapter 1: Introduction; 1.1 Life testing experiments and their difficulties; 1.2 Accelerated life testing; 1.3 Censoring; 1.3.1 Basic censoring schemes; Type-I censoring scheme; Type-II censoring scheme; 1.3.2 Hybrid and generalized hybrid censoring schemes; Hybrid Type-I censoring scheme; Hybrid Type-II censoring scheme; Generalized hybrid Type-I censoring scheme; Generalized hybrid Type-II censoring scheme.
1.3.3 Progressive censoring schemeProgressive Type-I censoring scheme; Progressive Type-II censoring scheme; Progressive hybrid censoring scheme; 1.4 Different forms of data; Type-I censoring scheme; Type-II censoring scheme; Hybrid Type-I censoring scheme; Hybrid Type-II censoring scheme; Progressive Type-II censoring scheme; 1.5 Different models; 1.5.1 Cumulative exposure model; 1.5.2 Tampered random variable model; 1.5.3 Tampered failure rate model; 1.5.4 Cumulative risk model; 1.6 Organization of the monograph; Chapter 2: Cumulative exposure model; 2.1 Introduction.
2.2 One-parameter exponential distribution2.2.1 Maximum likelihood estimators; 2.2.2 Exact conditional distribution of the MLEs; 2.2.3 Different confidence intervals; 2.2.4 Bayesian inference; 2.2.5 Numerical comparisons and recommendations; 2.2.6 Illustrative example; 2.2.7 Simple step-stress model: Other censoring schemes; 2.3 Two-parameter exponential distribution; 2.3.1 Likelihood function and MLEs; 2.3.2 Exact conditional distribution of MLEs; 2.3.3 Different confidence intervals; 2.3.4 Bayesian inference; 2.3.5 Numerical comparisons; 2.3.6 Illustrative example; 2.4 Weibull distribution.
2.4.1 Maximum likelihood estimators2.4.2 Newton-Raphson algorithm and initial values; 2.4.3 Confidence intervals; 2.4.4 Numerical comparisons and recommendations; 2.4.5 Illustrative example; 2.4.6 Open problems; 2.5 Generalized exponential distribution; 2.5.1 Maximum likelihood estimators; 2.5.2 Bayesian inference; 2.5.3 Simulation experiments; 2.5.4 Data analysis; 2.5.5 Open problems; 2.6 Other continuous distributions; 2.6.1 Gamma distribution; 2.6.2 Log-normal distribution; 2.6.3 Log-logistic distribution; 2.6.4 Pareto distribution; 2.6.5 Birnbaum-Saunders distribution.
2.7 Geometric distribution2.7.1 Maximum likelihood estimators; 2.7.2 Bayesian inference; 2.8 Multiple step-stress model; Chapter 3: Other related models; 3.1 Introduction; 3.2 Tempered random variable model; 3.2.1 One-parameter exponential distribution; 3.2.2 Weibull distribution; Analysis of Type-I censored data; Analysis of Type-II censored data; Confidence intervals; 3.2.3 Other distributions; Generalized exponential distribution; Generalized Weibull distribution; Pareto Type-I distribution; Lomax distribution; Log-normal distribution; 3.3 Tempered failure rate model; Weibull distribution.
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Front Cover; Analysis of Step-Stress Models: Existing Results and Some Recent Developments; Copyright; Dedication; Contents; Preface; Abbreviations; Symbols; Chapter 1: Introduction; 1.1 Life testing experiments and their difficulties; 1.2 Accelerated life testing; 1.3 Censoring; 1.3.1 Basic censoring schemes; Type-I censoring scheme; Type-II censoring scheme; 1.3.2 Hybrid and generalized hybrid censoring schemes; Hybrid Type-I censoring scheme; Hybrid Type-II censoring scheme; Generalized hybrid Type-I censoring scheme; Generalized hybrid Type-II censoring scheme.

1.3.3 Progressive censoring schemeProgressive Type-I censoring scheme; Progressive Type-II censoring scheme; Progressive hybrid censoring scheme; 1.4 Different forms of data; Type-I censoring scheme; Type-II censoring scheme; Hybrid Type-I censoring scheme; Hybrid Type-II censoring scheme; Progressive Type-II censoring scheme; 1.5 Different models; 1.5.1 Cumulative exposure model; 1.5.2 Tampered random variable model; 1.5.3 Tampered failure rate model; 1.5.4 Cumulative risk model; 1.6 Organization of the monograph; Chapter 2: Cumulative exposure model; 2.1 Introduction.

2.2 One-parameter exponential distribution2.2.1 Maximum likelihood estimators; 2.2.2 Exact conditional distribution of the MLEs; 2.2.3 Different confidence intervals; 2.2.4 Bayesian inference; 2.2.5 Numerical comparisons and recommendations; 2.2.6 Illustrative example; 2.2.7 Simple step-stress model: Other censoring schemes; 2.3 Two-parameter exponential distribution; 2.3.1 Likelihood function and MLEs; 2.3.2 Exact conditional distribution of MLEs; 2.3.3 Different confidence intervals; 2.3.4 Bayesian inference; 2.3.5 Numerical comparisons; 2.3.6 Illustrative example; 2.4 Weibull distribution.

2.4.1 Maximum likelihood estimators2.4.2 Newton-Raphson algorithm and initial values; 2.4.3 Confidence intervals; 2.4.4 Numerical comparisons and recommendations; 2.4.5 Illustrative example; 2.4.6 Open problems; 2.5 Generalized exponential distribution; 2.5.1 Maximum likelihood estimators; 2.5.2 Bayesian inference; 2.5.3 Simulation experiments; 2.5.4 Data analysis; 2.5.5 Open problems; 2.6 Other continuous distributions; 2.6.1 Gamma distribution; 2.6.2 Log-normal distribution; 2.6.3 Log-logistic distribution; 2.6.4 Pareto distribution; 2.6.5 Birnbaum-Saunders distribution.

2.7 Geometric distribution2.7.1 Maximum likelihood estimators; 2.7.2 Bayesian inference; 2.8 Multiple step-stress model; Chapter 3: Other related models; 3.1 Introduction; 3.2 Tempered random variable model; 3.2.1 One-parameter exponential distribution; 3.2.2 Weibull distribution; Analysis of Type-I censored data; Analysis of Type-II censored data; Confidence intervals; 3.2.3 Other distributions; Generalized exponential distribution; Generalized Weibull distribution; Pareto Type-I distribution; Lomax distribution; Log-normal distribution; 3.3 Tempered failure rate model; Weibull distribution.

Includes bibliographical references and index.

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