Methods of probability theory and statistics for analysis of reliability data (Q2716353)

This textbook deals with methods of probability theory and statistics for analysis of reliability data. Engineering students are mainly interested in the applied part of this theory. The value of preventive maintenance theory lies in the possibility of its implementation, which crucially depends on how we handle statistical reliability data. The book appeared in the ``Teubner Series in Mathematical Stochastics''. The contents are the following:NEWLINENEWLINENEWLINE1. Introduction; 2. Lifetime distributions; 3. Damage models; 4. Point estimations; 5. Tests and confidence estimation; 6. Reliability of systems; 7. Statistics for system observations. Each chapter contains a number of examples, as well as exercises, for which the solutions are given at the end of the book.NEWLINENEWLINENEWLINEThe very nature of the object of reliability theory -- lifetime of the system -- makes extremely difficult to collect large amounts of data. The data available are usually incomplete, e.g., heavily censored. Thus, the desire to make the course-material more applicable determines to include in the course topics such as modeling system lifetime distributions and maximum likelihood techniques for lifetime processing.