On some tests for exponentiality based on the mean residual life function
We build on the work of Aly (1983) and Jammalamadaka & Taufer (2006) to developnew tests for exponentiality based on the mean residual life function.
Suja Mansour Aboukhamseen +1 more
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Summarising censored survival data using the mean residual life function [PDF]
The mean residual life function provides a clear and simple summary of the effect of a treatment or a risk factor in units of time, avoiding hazard ratios or probability scales, which require careful interpretation. Estimation of the mean residual life is complicated by the upper tail of the survival distribution not being observed as, for example ...
Alberto Alvarez‐Iglesias +3 more
exaly +5 more sources
Nonparametric Bayesian Inference for Mean Residual Life Functions in\n Survival Analysis [PDF]
SUMMARYModeling and inference for survival analysis problems typically revolves around different functions related to the survival distribution. Here, we focus on the mean residual life (MRL) function, which provides the expected remaining lifetime given that a subject has survived (i.e. is event-free) up to a particular time.
Valerie Poynor, Athanasios Kottas
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On the change points of mean residual life and failure rate functions for some generalized gamma type distributions [PDF]
Mean residual life and failure rate functions are ubiquitously employed in reliability analysis. The term of useful period of lifetime distributions of bathtub-shaped failure rate functions is referred to the flat rigion of this ...
Parsa M. +2 more
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Asymptotic Properties of the Hazard Function and the Mean Residual Life Function
The memoryless or non-aging property of systems is of special relevance in reliability theory, which implies that the hazard function is constant in time, and the corresponding mean residual life function takes a reciprocal value. The only known continuous distribution with that property is the exponential distribution.
Dejan Škanata
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Reliability Aspects of Proportional Mean Residual Life Model Using Quantile Functions
In the present work we propose a study of the proportional mean residual life model using quantile functions instead of distribution functions employed in the traditional approach. Through various quantile-based reliability concepts ageing properties of
N. Unnikrishnan Nair +2 more
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Boundary-free Estimators of the Mean Residual Life Function by Transformation [PDF]
We propose two new kernel-type estimators of the mean residual life function $m_X(t)$ of bounded or half-bounded interval supported distributions. Though not as severe as the boundary problems in the kernel density estimation, eliminating the boundary bias problems that occur in the naive kernel estimator of the mean residual life function is needed ...
Rizky Reza Fauzi, Yoshihiko Maesono
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Local Polynomial Fitting of the Mean Residual Life Function
The mean residual life (MRL) function is one of the most important, widely used reliability measures in practice. For example, it is used to design burn-in programs, plan spare provision, and formulate warranty policies. Parametric techniques, which rely on the assumption that the parametric form of the failure time is known, are usually employed in ...
Chathuri L. Jayasinghe +1 more
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Properties of Residual Cumulative Sharma–Taneja–Mittal Model and Its Extensions in Reliability Theory with Applications to Human Health Analysis and Mixed Coherent Mechanisms [PDF]
The entropy measure of residual cumulative Sharma–Taneja–Mittal is an alternative measure of uncertainty for residual cumulative entropy. This study investigates further theoretical properties and develops nonparametric estimation procedures for the ...
Mohamed Said Mohamed, Hanan H. Sakr
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Estimation of two ordered bivariate mean residual life functions [PDF]
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Javier Rojo, Musie Ghebremichael
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