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Titlebook: Quantile-Based Reliability Analysis; N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan Textbook 2013 Springer Science+Business Media New

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發(fā)表于 2025-3-21 16:43:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Quantile-Based Reliability Analysis
編輯N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan
視頻videohttp://file.papertrans.cn/781/780777/780777.mp4
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
叢書名稱Statistics for Industry and Technology
圖書封面Titlebook: Quantile-Based Reliability Analysis; N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan Textbook 2013 Springer Science+Business Media New
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
關(guān)鍵詞estimation and statistical modeling; hazard and residual quantile functions; lifetime distributions; qu
版次1
doihttps://doi.org/10.1007/978-0-8176-8361-0
isbn_softcover978-1-4939-5167-3
isbn_ebook978-0-8176-8361-0Series ISSN 2364-6241 Series E-ISSN 2364-625X
issn_series 2364-6241
copyrightSpringer Science+Business Media New York 2013
The information of publication is updating

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發(fā)表于 2025-3-21 20:16:54 | 只看該作者
Quantile-Based Reliability Concepts,cteristic properties and characterization theorems for different life distributions by relationships between various functions are reviewed. Many of the quantile functions in the literature do not have closed-form expressions for their distributions, and they have to be evaluated numerically. This r
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Quantile Function Models,t squares and maximum likelihood are reviewed. Also included are the starship method, the discretized approach specifically introduced for the estimation of parameters in the quantile functions and details of the packages and tables that facilitate the estimation process..In analysing the reliabilit
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Ageing Concepts,under three broad categories—based on hazard functions, residual life functions and survival functions. The IHR, IHR(2), IGHR, NBUHR, NBUHRA, SIHR, IHRA, DMTTF, IHRA* . . classes and their duals along with their properties come under ageing notions related to the hazard function. In the class of con
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Total Time on Test Transforms,lated to the TTT. Identities connecting various curves, characterizations of distributions in terms of these curves and their relationships with various reliability functions are detailed subsequently. In view of the ageing classes in the quantile set-up introduced in Chap. 4, it is possible to char
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,-Moments of Residual Life and Partial Moments,e definitions, several identities that connect .-moments of residual life with the hazard quantile function, and mean and variance of residual quantile function, are derived. A comparison between the second .-moment and variance of residual life points out the situations in which the former is bette
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Textbook 2013.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
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