On generalized reversed aging intensity functions
TLDR
In this article, a family of generalized generalized reversed aging intensity functions is introduced and studied, which depend on a real parameter and characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions.Abstract:
The reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging intensity, the weaker the tendency of aging. In this paper, a family of generalized reversed aging intensity functions is introduced and studied. Those functions depend on a real parameter. If the parameter is positive they characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions. Furthermore, the generalized reversed aging intensity orders are defined and studied. Finally, several numerical examples are given.read more
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TL;DR: In this article, a method for making statistical inferences about the upper tail of a distribution function is presented for estimating the probabilities of future extremely large observations, where the underlying distribution function satisfies a condition which holds for all common continuous distribution functions.
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Exponentiated exponential family: an alternative to gamma and weibull distributions
Rameshwar D. Gupta,Debasis Kundu +1 more
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The Reversed Hazard Rate Function
TL;DR: In this article, the authors discuss some properties of the reversed hazard rate function and compare them with the conventional hazard rate ordering for k-out-of-n systems with respect to the reverse hazard rate.
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