Quantile-Based Reliability Analysis

• Main Authors: Nair, N. Unnikrishnan. (Author), Sankaran, P.G. (Author), Balakrishnan, N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhũser, 2013.
• Series: Statistics for Industry and Technology
• Subjects: Statistics.; Distribution (Probability theory).; Mathematical statistics.; Economics > Statistics.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Statistics for Business/Economics/Mathematical Finance/Insurance.; Statistics for Life Sciences, Medicine, Health Sciences.; Mathematical Modeling and Industrial Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-8361-0

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....

Table of Contents:

• Preface
• Chapter I Quantile Functions
• Chapter II Quantile-Based Reliability Concepts
• Chapter III Quantile Function Models
• Chapter IV Ageing Concepts
• Chapter V Total Time on Test Transforms (TTT)
• Chapter VI L-Moments of Residual Life and Partial Moments
• Chapter VII Nonmonotone Hazard Quantile Functions
• Chapter VIII Stochastic Orders in Reliability
• IX Estimation and Modeling.- References
• Index.