Reliability of Engineering Systems and Technological Risk [Hardcover]

The author focuses on three main problems in technological risks and safety: elements of reliability theory, the basic notions, models and methods of general risk theory and some aspects of insurance in the context of risk management.

Although the material in this book is aimed at those working towards a bachelor's degree in engineering, it may also be of interest to postgraduate students and specialists dealing with problems related to reliability and risks.

Preface ix

Notations and Abbreviations xi

Chapter 1. Reliability of Engineering Systems 1

1.1. Basic notions and characteristics of reliability 1

1.1.1. Basic notions 1

1.1.2. Reliability of non-renewable units 3

1.1.3. Some parametric families of continuous distributions of non-negative random variables 7

1.1.4. Examples 21

1.1.5. Exercises 23

1.2. Reliability of renewable systems 24

1.2.1. Reliability of instantaneously renewable articles 24

1.2.2. Renewal function 30

1.2.3. Age and residual lifetime of an article 34

1.2.4. Reliability characteristics with regard to replacement time 37

1.2.5. Examples 38

1.2.6. Exercises 43

1.3. Statistical analysis of reliability characteristics 44

1.3.1. Introductory notes 44

1.3.2. Observations and the plans of reliability trials 45

1.3.3. Statistical analysis of reliability characteristics for trials under the basic plan 46

1.3.4. Statistical estimation of the reliability characteristics and indexes for trials with rl“)