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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.
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This concise text provides a fresh approach to reliability theory, an area that has gained relevance in fields from statistics and engineering to demography and insurance. Unlike other works on this topic, most of which rely on distribution functions for their analysis, this book focuses on applying quantile function models to lifetime data. This reformulated perspective proves at once simpler, more robust, and more accurate than the conventional alternative. The book's innovative methodology is laid out in a well-organized, logically-structured 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 Theory 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. 420 pp. Englisch. Seller Inventory # 9780817683603
Book Description Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9780817683603
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780817683603
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Quantile functions provide a unique, unprecedentedly simple, robust, and precise approach to reliability theory Broad applicability across fields such as statistics, survival analysis, economics, engineering, demography, insurance, and medical sci. Seller Inventory # 5975992