Stochastic comparisons of order statistics in the scale model

DOI10.1016/J.JSPI.2010.06.006zbMath1207.62108OpenAlexW2005478798MaRDI QIDQ710780

Subhash C. Kochar, Baha-Eldin Khaledi, Sepideh Farsinezhad

Publication date: 22 October 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.06.006

zbMATH Keywords

hazard ratemajorizationgeneralized gamma distributionreverse hazard rateparallel systemsseries systems\(p\)-larger orderpower-generalized Weibull distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (53)

Stochastic comparisons of parallel and series systems with heterogeneous Birnbaum-Saunders components ⋮ Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence ⋮ Stochastic comparisons of order statistics from scaled and interdependent random variables ⋮ ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS ⋮ ORDERING RESULTS ON EXTREMES OF EXPONENTIATED LOCATION-SCALE MODELS ⋮ COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES ⋮ ITERATED FAILURE RATE MONOTONICITY AND ORDERING RELATIONS WITHIN GAMMA AND WEIBULL DISTRIBUTIONS ⋮ On the skewness of order statistics in multiple-outlier PHR models ⋮ STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS ⋮ Ordering results for series and parallel systems comprising heterogeneous exponentiated Weibull components ⋮ Comparisons between parallel systems with exponentiated generalized gamma components ⋮ On stochastic comparisons of maximum order statistics from the location-scale family of distributions ⋮ Ordering properties of the smallest and largest claim amounts in a general scale model ⋮ Application of weighted and unordered majorization orders in comparisons of parallel systems with exponentiated generalized gamma components ⋮ On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components ⋮ Relative ageing of series and parallel systems: effects of dependence and heterogeneity among components ⋮ MRL ordering of largest order statistics from heterogeneous scale variables ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ On extreme order statistics from heterogeneous Weibull variables ⋮ On proportional reversed failure rate class ⋮ Likelihood ratio and dispersive orders of parallel and series systems consisting of dependent multiple-outlier components ⋮ Mean residual life order among largest order statistics arising from resilience-scale models with reduced scale parameters ⋮ Comparisons on aggregate risks from two sets of heterogeneous portfolios ⋮ Stochastic comparisons of largest claim amount from heterogeneous and dependent insurance portfolios ⋮ SOME NEW RESULTS ON THE LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER GAMMA MODELS ⋮ STOCHASTIC MONOTONICITY OF CONDITIONAL ORDER STATISTICS IN MULTIPLE-OUTLIER SCALE POPULATION ⋮ Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples ⋮ Stochastic comparisons on sample extremes from independent or dependent gamma samples ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ Asymptotic reliability theory of \(k\)-out-of-\(n\) systems ⋮ Ordering results for order statistics from two heterogeneous Marshall-Olkin generalized exponential distributions ⋮ Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components ⋮ Properties of the elasticity of a continuous random variable. A special look at its behavior and speed of change ⋮ On the maxima of heterogeneous gamma variables with different shape and scale parameters ⋮ Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components ⋮ Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables ⋮ Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications ⋮ Ordering results on extremes of scaled random variables with dependence and proportional hazards ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Comparisons of largest order statistics from multiple-outlier gamma models ⋮ On stochastic comparisons of minimum order statistics from the location-scale family of distributions ⋮ Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks ⋮ COMPARISONS OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process ⋮ On Stochastic Comparisons of Largest Order Statistics in the Scale Model ⋮ Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters ⋮ On stochastic comparisons of series systems with heterogeneous dependent and independent location-scale family distributed components ⋮ Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS ⋮ Ordering extremes of scale random variables under Archimedean copula ⋮ On transform orders for largest claim amounts ⋮ Stochastic comparisons of parallel systems with exponentiated Weibull components

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic comparisons of order statistics from gamma distributions
• Stochastic orders
• Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability
• Ordering properties of convolutions of exponential random variables
• Schur properties of convolutions of exponential and geometric random variables
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Weibull distribution: some stochastic comparisons results
• Some new results on stochastic comparisons of parallel systems
• Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
• Dispersive ordering and monotone failure rate distributions
• On tail-ordering and comparison of failure rates
• Applications of the hazard rate ordering in reliability and order statistics
• A Generalization of the Gamma Distribution
• Inequalities: theory of majorization and its applications
• Dispersive ordering among linear combinations of uniform random variables

This page was built for publication: Stochastic comparisons of order statistics in the scale model