Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications discusses all past and recent developments on start-up demonstration tests in the context of current numerical and illustrative examples to clarify available methods for distribution theorists and applied mathematicians dealing with control problems. Throughout the book, the authors focus on the panorama of open problems and issues of further interest. As contemporary manufacturers face tremendous commercial pressures to assemble works of high reliability, defined as ‘the probability of the product performing its role under the stated conditions and over a specified period of time’, this book helps address testing issues.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Preliminaries - p. 5 3. Chapter 3. Binary start-up demonstration tests - p. 25 4. Abstract - p. 25 5. 3.1 Introduction - p. 25 6. 3.2 Run and frequency based models - p. 26 7. 3.3 Multiple runs and frequency based models - p. 71 8. 3.4 Scan statistic based models - p. 77 9. 3.5 Extended run based models - p. 88 10. 3.6 Summary and pertinent literature - p. 98 11. Bibliography - p. 102 12. Chapter 4. Multistate start-up demonstration tests - p. 103 13. Abstract - p. 103 14. 4.1 Introduction - p. 104 15. 4.2 Models with two types of successes and one type of failure - p. 104 16. 4.3 Models with two types of failures and one type of success - p. 135 17. 4.4 Models with more than two types of failures and successes - p. 144 18. 4.5 Summary and pertinent literature - p. 150 19. Bibliography - p. 152 20. Chapter 5. An unified approach - p. 153 21. Chapter 6. Statistical inference and a mixture model - p. 173 22. Abstract - p. 173 23. 6.1 Introduction - p. 173 24. 6.2 Binary and multistate case - p. 179 25. 6.3 An unified estimation approach - p. 178 26. 6.4 Start-up demonstration mixture models - p. 186 27. 6.5 Summary and pertinent literature - p. 195 28. Bibliography - p. 197 29. Chapter 7. Some extended testing procedures and optimal design of tests - p. 199 30. Chapter 8. Illustrative data analyses - p. 213 31. Chapter 9. Applications to other fields - p. 229 32. Bibliography - p. 239 33. Index - p. 247
Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications discusses all past and recent developments on start-up demonstration tests in the context of current numerical and illustrative examples to clarify available methods for distribution theorists and applied mathematicians dealing with control problems. Throughout the book, the authors focus on the panorama of open problems and issues of further interest. As contemporary manufacturers face tremendous commercial pressures to assemble works of high reliability, defined as ‘the probability of the product performing its role under the stated conditions and over a specified period of time’, this book helps address testing issues.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Preliminaries - p. 5 3. Chapter 3. Binary start-up demonstration tests - p. 25 4. Abstract - p. 25 5. 3.1 Introduction - p. 25 6. 3.2 Run and frequency based models - p. 26 7. 3.3 Multiple runs and frequency based models - p. 71 8. 3.4 Scan statistic based models - p. 77 9. 3.5 Extended run based models - p. 88 10. 3.6 Summary and pertinent literature - p. 98 11. Bibliography - p. 102 12. Chapter 4. Multistate start-up demonstration tests - p. 103 13. Abstract - p. 103 14. 4.1 Introduction - p. 104 15. 4.2 Models with two types of successes and one type of failure - p. 104 16. 4.3 Models with two types of failures and one type of success - p. 135 17. 4.4 Models with more than two types of failures and successes - p. 144 18. 4.5 Summary and pertinent literature - p. 150 19. Bibliography - p. 152 20. Chapter 5. An unified approach - p. 153 21. Chapter 6. Statistical inference and a mixture model - p. 173 22. Abstract - p. 173 23. 6.1 Introduction - p. 173 24. 6.2 Binary and multistate case - p. 179 25. 6.3 An unified estimation approach - p. 178 26. 6.4 Start-up demonstration mixture models - p. 186 27. 6.5 Summary and pertinent literature - p. 195 28. Bibliography - p. 197 29. Chapter 7. Some extended testing procedures and optimal design of tests - p. 199 30. Chapter 8. Illustrative data analyses - p. 213 31. Chapter 9. Applications to other fields - p. 229 32. Bibliography - p. 239 33. Index - p. 247
