Quantile-Based Reliability Analysis

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October 5, 2021 | History

Quantile-Based Reliability Analysis

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.

Publish Date
Publisher
Birkhäuser
Pages
417

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Edition Availability
Cover of: Quantile-Based Reliability Analysis
Quantile-Based Reliability Analysis
Aug 23, 2016, Birkhäuser
paperback
Cover of: Quantile-Based Reliability Analysis
Quantile-Based Reliability Analysis
Aug 24, 2013, Birkhäuser
hardcover
Cover of: Quantile-Based Reliability Analysis
Quantile-Based Reliability Analysis
2013, Birkhauser Verlag
in English

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Book Details


Edition Notes

Source title: Quantile-Based Reliability Analysis (Statistics for Industry and Technology)

Classifications

Library of Congress
QA276-280

The Physical Object

Format
paperback
Number of pages
417

Edition Identifiers

Open Library
OL30529428M
ISBN 10
149395167X
ISBN 13
9781493951673

Work Identifiers

Work ID
OL20790624W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
October 5, 2021 Edited by ImportBot import existing book
September 30, 2020 Created by ImportBot Imported from amazon.com record