Analysis of Step-Stress Models

Analysis of Step-Stress Models

Existing Results and Some Recent Developments

1st Edition - June 15, 2017

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  • Authors: Debasis Kundu, Ayon Ganguly
  • eBook ISBN: 9780081012406
  • Paperback ISBN: 9780128097137

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Description

Analysis of Step-Stress Models: Existing Results and Some Recent Developments describes, in detail, the step-stress models and related topics that have received significant attention in the last few years. Although two books, Bagdonavicius and Nikulin (2001) and Nelson (1990), on general accelerated life testing models are available, no specific book is available on step-stress models. Due to the importance of this particular topic, Balakrishnan (2009) provided an excellent review for exponential step-stress models. The scope of this book is much more, providing the inferential issues for different probability models, both from the frequentist and Bayesian points-of-view.

Key Features

  • Explains the different distributions of the Cumulative Exposure Mode
  • Covers many different models used for step-stress analysis
  • Discusses Step-stress life testing under the competing or complementary risk model

Readership

Statistical practitioners, senior undergraduate and graduate students, and researchers in statistics

Table of Contents

  • Chapter 1. Introduction

    1.1. Life Testing Experiments and its Difficulties

    1.2. Accelerated Life Testing

    1.3. Censoring

    1.4. Different Forms of Data

    1.5. Different Models

    1.6. Organization of the Monograph

    Chapter 2. Cumulative Exposure Model

    2.1. Introduction

    2.2. One Parameter Exponential Distribution

    2.3. Two-Parameter Exponential Distribution

    2.4. Weibull distribution

    2.5. Generalized Exponential Distribution

    2.6. Other Continuous Distributions

    2.7. Geometric Distribution

    2.8. Multiple Step-Stress Model

    Chapter 3. Other related models

    3.1. Introduction

    3.2. Tampered Random Variable Model

    3.3. Tampered Failure Rate Model

    3.4. Cumulative Risk Model

    Chapter 4. SSLT with Multiple Failure Modes

    4.1. Introduction

    4.2. SSLT and Competing Risks

    4.3. Exponential Distribution: CEM

    4.4. Exponential Distribution: CRM

    4.5. Weibull Distribution: TFRM

    4.6. SSLT and Complementary Risks

    Chapter 5. Miscellaneous Topics

    5.1. Introduction

    5.2. Random Stress Changing Time Model

    5.3. Order Restricted Inference

    5.4. Meta Analysis Approach

    5.5. Optimal Design of SSLTs

    5.6. Further Reading

Product details

  • No. of pages: 186
  • Language: English
  • Copyright: © Academic Press 2017
  • Published: June 15, 2017
  • Imprint: Academic Press
  • eBook ISBN: 9780081012406
  • Paperback ISBN: 9780128097137

About the Authors

Debasis Kundu

Debasis Kundu is a Professor in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur, India, which he joined in 1990. He had previously worked as Assistant Professor at the University of Texas at Dallas, USA, after completing his PhD in Statistics at Pennsylvania State University, USA. His research interests include statistical signal processing, nonlinear regression, distribution theory, statistical computing, and reliability and survival analysis.

Affiliations and Expertise

Rahul and Namita Gautam Chair Professor, Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, India

Ayon Ganguly

Ayon Ganguly is an Assistant Professor in the Department of Mathematics, at the Indian Institute of Technology Guwahati, India. He received his PhD in Statistics from the Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, India. His research interests include reliability and survival analysis.

Affiliations and Expertise

Department of Mathematics, Indian Institute of Technology Guwahati, India

Ratings and Reviews

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  • Amulya M. Wed Apr 25 2018

    Nice book

    Really a nice book for the one who wants to learn about step stress accelerated life testing. The matter is nicely discussed.