Results 271 to 280 of about 15,506,173 (331)

Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables

Statistics & Probability Letters, 2019
We develop sufficient conditions for the hazard rate order on minimums of sample with Archimedean survival copulas and having proportional hazard rates or scales, and the reversed hazard rate order on maximums of sample with Archimedean copulas and have ...
Chen Li, Xiao-Hu Li
semanticscholar   +2 more sources

Characterizations of the hazard rate order and IFR aging notion

Statistics & Probability Letters, 2004
The authors show that two random variables \(X\) and \(Y\) satisfy \(X\leq_{\text{hr}}Y\) (that is, are ordered with respect to the hazard rate order) if and only if \([X-t\mid X>t]\leq_{\text{Lt}}[Y-t\mid Y>t]\) (that is, are ordered with respect to the Laplace transform order) for all \(t\).
F. Belzunce, Xiaoying Gao, Tai-Zhong Hu, F. Pellerey   +3 more
semanticscholar   +3 more sources

Applications of the hazard rate ordering in reliability and order statistics

Journal of Applied Probability, 1994
The hazard rate ordering is an ordering for random variables which compares lifetimes with respect to their hazard rate functions. It is stronger than the usual stochastic order for random variables, yet is weaker than the likelihood ratio ordering. The hazard rate ordering is particularly useful in reliability theory and survival analysis, owing to ...
P. Boland, E. El-Neweihi, F. Proschan
semanticscholar   +3 more sources

Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples

Statistics, 2017
ABSTRACTIn this paper, we compare the hazard rate functions of the second-order statistics arising from two sets of independent multiple-outlier proportional hazard rates (PHR) samples. It is proved that the submajorization order between the sample size vectors together with the supermajorization order between the hazard rate vectors imply the hazard ...
Xiong Cai, Yiying Zhang, Peng Zhao
semanticscholar   +2 more sources

Tail hazard rate ordering properties of order statistics and coherent systems

Naval Research Logistics (NRL), 2007
AbstractWe study tail hazard rate ordering properties of coherent systems using the representation of the distribution of a coherent system as a mixture of the distributions of the series systems obtained from its path sets. Also some ordering properties are obtained for order statistics which, in this context, represent the lifetimes of k‐out‐of‐n ...
J. Navarro
semanticscholar   +3 more sources

A note on reversed hazard rate of order statistics and record values

Journal of Statistical Planning and Inference, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chanchal Kundu, A. K. Nanda, Tai-Zhong Hu   +2 more
semanticscholar   +2 more sources

The up reversed hazard rate stochastic order

, 2001
Summary: A stochastic order consisting of a shifted version of the well-known reversed hazard rate order is proposed. Namely, for two continuous random variables \(X\) and \(Y\) we say that \(X\) is smaller than \(Y\) in the up reversed hazard rate order, denoted as \(X\leq_{\text{rh} \uparrow}Y\), if \(X-x \leq_{\text{rh}}Y\) for each \(x\geq 0 ...
DI CRESCENZO A., LONGOBARDI, MARIA
core   +5 more sources

Asymptotic behavior of the hazard rate in systems based on sequential order statistics

Metrika, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Burkschat, J. Navarro
semanticscholar   +2 more sources

On the hazard rate of α-mixture of survival functions

Communications in Statistics - Theory and Methods, 2023
The α-mixture model, as a flexible family of distributions, is an effective tool for modeling heterogeneity inS population. This article investigates the hazard rate of α-mixture in terms of hazard rates of mixed baseline distributions.
Omid Shojaee, M. Asadi, M. Finkelstein
semanticscholar   +1 more source

Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications

Journal of Applied Probability, 2020
We investigate stochastic comparisons of parallel systems (corresponding to the largest-order statistics) with respect to the reversed hazard rate and likelihood ratio orders for the proportional reversed hazard rate (PRHR) model.
Lu Li, Qin-Yu Wu, Tian-Tian Mao
semanticscholar   +1 more source