
Mathematical Methods of Reliability Theory
- 518 pages
- English
- PDF
- Available on iOS & Android
Mathematical Methods of Reliability Theory
About this book
Mathematical Methods of Reliability Theory discusses fundamental concepts of probability theory, mathematical statistics, and an exposition of the relationships among the fundamental quantitative characteristics encountered in the theory. The book deals with the set-theoretic approach to reliability theory and the central concepts of set theory to the phenomena. It also presents methods of finding estimates for reliability parameters based on observations and methods of testing reliability hypotheses. Based on mathematical statistics, the book also explains formulation of some selected results. It presents a method that increases the reliability of manufactured articlesāredundancy. An important part of product quality control is the standards of acceptance-sampling plans which require simplicity, wide content for flexibility, comprehensive characteristics, and variability. The book also tackles economical and rational methods of sampling inspections, highlighting the need for a correct evaluation of environmental conditionsāthe factors which predetermine the choice of the inspection method. The book then explains how to estimate the efficiency of the operation of the sampling plan after its selection. The book can be helpful for engineers, mathematicians, economists, or industrial managers, as well as for other professionals who work in the technological, political, research, structural, and physico-chemical areas.
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Information
Table of contents
- Front Cover
- Mathematical Methods of Reliability Theory
- Copyright Page
- Table of Contents
- Preface
- Introduction
- CHAPTER 1. Fundamentals of Probability Theory and Mathematical Statistics
- CHAPTER 2. Characteristics of Reliability
- CHAPTER 3. Evaluation of Reliability Factors from Experimental Data
- CHAPTER 4. Testing of Reliability Hypotheses
- CHAPTER 5. Standby Redundancy without Renewal
- CHAPTER 6. Standby Redundancy with Renewal
- CHAPTER 7. Statistical Methods of Quality Control and Reliability of Mass Production
- Appendix
- Subject Index