Quantile-Based Reliability Analysis

N. Unnikrishnan Nair, P.G. Sankaran, N. Balakrishnan

$130.95 $105.07

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Birkhauser Boston Inc
23 August 2016

Economics & Business; Probability & statistics; Mathematical modelling; Stochastics; Maths for engineers

Series: Statistics for Industry and Technology

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.

By: N. Unnikrishnan Nair, P.G. Sankaran, N. Balakrishnan
Imprint: Birkhauser Boston Inc
Country of Publication: United States
Edition: Softcover reprint of the original 1st ed. 2013
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 6.321kg
ISBN: 9781493951673
ISBN 10: 149395167X
Series: Statistics for Industry and Technology
Pages: 397
Publication Date: 23 August 2016
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

N. Unnikrishnan Nair obtained his Ph.D. from the University of Kerala, India and was conferred the degree of Doctor of Human Letters (honoris causa) by the Juniata College, USA. He was Professor and Chair, Department of Statistics, Dean, Faculty of Science and the Vice-Chancellor of the Cochin University of Science and Technology in India. He is a Fellow and past President of the Indian Society for Probability and Statistics, as well as an elected member of the International Statistical Institute. Dr. Nair has published 120 peer reviewed research papers and is an author, editor, or contributor of several books for publishers including Birkhauser Boston and Education Book Distributors (and others in foreign languages). P.G. Sankaran received his Ph.D. from Cochin University of Science and Technology, India. He was awarded BOYSCAST Fellowship of the Department of Science and Technology by the Government of India in 2000. He is a member of the International Statistical Institute and the Executive Council of International Society for Business and Industrial Statistics. His commendations include the Young Researcher Award of International Indian Statistical Association (IISA) in 2010, and his output encompasses 62 research papers and two edited books published by Education Book Distributors and the Department of Statistics at Cochin.

Reviews for Quantile-Based Reliability Analysis

From the book reviews: This book introduces quantile-based reliability analysis. It gives a novel approach to reliability theory using quantile functions in contrast to the traditional approach based on distribution functions. ... This book has a broad applicability across fields such as statistics, survival analysis, economics, engineering, demography, insurance, and medical science. It can be used as an excellent reference book for faculty and professionals. (Yuehua Wu, zbMATH 1306.62019, 2015) The reviewer finds it to be a good and quite exhaustive collection of results that are centered around quantile-based notions involving life distributions. Any researcher in the areas of probabilistic or statistical reliability theory may find this monograph to be a useful reference book. (Moshe Shaked, Mathematical Reviews, April, 2014)