Analysis of Step-Stress Models

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.

• 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

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

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