书目名称 | Quantile-Based Reliability Analysis |
编辑 | N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan |
视频video | |
概述 | Quantile functions provide a unique, unprecedentedly simple, robust, and precise approach to reliability theory.Broad applicability across fields such as statistics, survival analysis, economics, engi |
丛书名称 | Statistics for Industry and Technology |
图书封面 |  |
描述 | .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 residu |
出版日期 | Textbook 2013 |
关键词 | estimation and statistical modeling; hazard and residual quantile functions; lifetime distributions; qu |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-8361-0 |
isbn_softcover | 978-1-4939-5167-3 |
isbn_ebook | 978-0-8176-8361-0Series ISSN 2364-6241 Series E-ISSN 2364-625X |
issn_series | 2364-6241 |
copyright | Springer Science+Business Media New York 2013 |