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

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acrophobia

2364-6241        Definitions and properties of reliability concepts in terms of quantile functions;.·       Ageing concepts and their interrelationships;.·       Total time on test transforms;.·       L-moments of residu978-1-4939-5167-3978-0-8176-8361-0Series ISSN 2364-6241 Series E-ISSN 2364-625X

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Textbook 2013 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 c

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Quantile-Based Reliability Concepts,e functional forms of many of these concepts characterize the life distribution and therefore enable the identification of the appropriate model. In this chapter, we discuss these basic concepts, first using the distribution function approach and then introduce their analogues in terms of quantile f

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Quantile Function Models, this chapter, we discuss the characteristics of certain quantile functions known in the literature. The models considered are the generalized lambda distribution of Ramberg and Schmeiser, the generalized Tukey lambda family of Freimer, Kollia, Mudholkar and Lin, the four-parameter distribution of v

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Total Time on Test Transforms,lems, it has also been found useful in other areas like stochastic modelling, maintenance scheduling, risk assessment of strategies and energy sales. When several units are tested for studying their life lengths, some of the units would fail while others may survive the test period. The sum of all o

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mortuary

Nonmonotone Hazard Quantile Functions,thtub or upside-down bathtub shape have received considerable attention during the last five decades. Several models have been suggested to represent lifetimes possessing bathtub-shaped hazard rates. In this chapter, we review the existing results and also discuss some new models based on quantile f