Quantile-Based Reliability Analysis / by N. Unnikrishnan Nair, P.G. Sankaran, N. Balakrishnan
(Statistics for Industry and Technology)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York : Imprint: Birkhäuser |
| 出版年 | 2013 |
| 本文言語 | 英語 |
| 大きさ | XX, 397 p. 20 illus., 3 illus. in color : online resource |
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| 内容注記 | Preface Chapter I Quantile Functions Chapter II Quantile-Based Reliability Concepts Chapter III Quantile Function Models Chapter IV Ageing Concepts Chapter V Total Time on Test Transforms (TTT) Chapter VI L-Moments of Residual Life and Partial Moments Chapter VII Nonmonotone Hazard Quantile Functions Chapter VIII Stochastic Orders in Reliability IX Estimation and Modeling References Index |
|---|---|
| 一般注記 | Quantile-Based Reliability Analysis presents a novel approach to reliability theory using quantile functions in contrast to the traditional approach based on distribution functions. Quantile functions and distribution functions are mathematically equivalent ways to define a probability distribution. However, quantile functions have several advantages over distribution functions. First, many data sets with non-elementary distribution functions can be modeled by quantile functions with simple forms. Second, most quantile functions approximate many of the standard models in reliability analysis quite well. Consequently, if physical conditions do not suggest a plausible model, an arbitrary quantile function will be a good first approximation. Finally, the inference procedures for quantile models need less information and are more robust to outliers. Quantile-Based Reliability Analysis’s innovative methodology is laid out in a well-organized sequence of topics, including: · Definitions and properties of reliability concepts in terms of quantile functions; · Ageing concepts and their interrelationships; · Total time on test transforms; · L-moments of residual life; · Score and tail exponent functions and relevant applications; · Modeling problems and stochastic orders connecting quantile-based reliability functions. An ideal text for advanced undergraduate and graduate courses in reliability and statistics, Quantile-Based Reliability Analysis also contains many unique topics for study and research in survival analysis, engineering, economics, and the medical sciences. In addition, its illuminating discussion of the general theory of quantile functions is germane to many contexts involving statistical analysis. |
| 著者標目 | *Nair, N. Unnikrishnan author Sankaran, P.G. author Balakrishnan, N. author SpringerLink (Online service) |
| 件 名 | LCSH:Statistics LCSH:Mathematical models LCSH:Probabilities FREE:Statistics FREE:Statistical Theory and Methods FREE:Probability Theory and Stochastic Processes FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Statistics for Business/Economics/Mathematical Finance/Insurance FREE:Statistics for Life Sciences, Medicine, Health Sciences FREE:Mathematical Modeling and Industrial Mathematics |
| 分 類 | DC23:519.5 |
| 巻冊次 | ISBN:9780817683610 
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| ISBN | 9780817683610 |
| URL | http://dx.doi.org/10.1007/978-0-8176-8361-0 |
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※2021年9月12日以降