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On variability of the mean remaining lifetime at random age
In this short communication, we discuss the remaining lifetime and the mean remaining lifetime (MRL) of an item with a random age. We show that the...
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Mean Residual Life Estimator
Mean residual function is a function that represents the average remaining time before failure. Though not as severe as the boundary problems in... -
On the Mean and Variance Residual Life Comparisons of Coherent Systems with Identically Distributed Components
The problem of stochastic comparison of two coherent systems has received a great attention in recent years. In the present work, we study the...
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A ranked-based estimator of the mean past lifetime with an application
The mean past lifetime (MPL) is an important tool in reliability and survival analysis for measuring the average time elapsed since the occurrence of...
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On weighted version of dynamic cumulative residual inaccuracy measure based on extropy
This paper introduces the concept of dynamic cumulative residual extropy inaccuracy (DCREI) by expanding on the existing dynamic cumulative residual...
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Some New Bounds for Moment Generating Functions of Various Life Distributions Using Mean Residual Life Functions
In this paper, we present bounds for moment generating functions of certain life distributions, including the decreasing mean residual life class. We...
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On Relative Cumulative Extropy, Its Residual (Past) Measures and their Applications in Estimation and Testing
This article introduces a new measure of distance between two probability distributions based on the notion of extropy, called the relative...
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Stochastic Comparisons of General Proportional Mean Past Lifetime Frailty Model
In this paper, the general proportional mean past lifetime frailty model is considered, from which the unconditional cumulative distribution and...
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A series of two-sample non-parametric tests for quantile residual life time
Quantile residual lifetime (QRL) is of significant interest in many clinical studies as an easily interpretable quantity compared to other summary...
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Bivariate dynamic weighted cumulative residual entropy
As a way to measure uncertainty, the cumulative residual entropy (CRE) was initially developed. Later came the dynamic version of CRE, called dynamic...
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A Study on Quantile based Cumulative Residual Extropy of Order Statistics
In recent times, there has been a growing interest among researchers in utilizing quantile-based approaches for assessing the uncertainty associated...
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Bivariate Quantile-Based Entropy in Past Lifetime
Eventhough considerable research is now available on the study of entropy using quantile function, a bivariate extension of the same has not been...
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On a Time Dependent Divergence Measure between Two Residual Lifetime Distributions
AbstractRecently, a time-dependent measure of divergence has been introduced by Mansourvar and Asadi (2020) to assess the discrepancy between the...
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Smoothed quantile regression for censored residual life
We consider a regression modeling of the quantiles of residual life, remaining lifetime at a specific time. We propose a smoothed induced version of...
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A Generalized Additive Hazards Model for the Analysis of Lifetime Data
The additive hazards model is often used in reliability analysis in areas like system reliability when the difference of risks under two different...
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Properties of System Lifetime in the Classical Model with I.I.D. Exponential Component Lifetimes
We consider coherent and mixed systems composed of components with independent identically exponentially distributed lifetimes. We describe... -
Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis
In the present work we discuss some new results and applications of the Kullback-Leibler residual divergence. It is shown that the residual...
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Some reliability properties of extropy for residual and past lifetime random variables
In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past...
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Beautiful Gini
You may very well be familiar with the Gini Coefficient, also known as the Gini index: a quantitative gauge with which socioeconomic inequality is...
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Jackknife empirical likelihood ratio test for testing mean time to failure order
In this paper, we propose a new non-parametric test for testing mean time to failure order. The asymptotic properties of the proposed test statistic...