Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables

DOI10.1016/J.JMVA.2008.09.010zbMath1167.62048OpenAlexW1982984483MaRDI QIDQ1006675

Peng Zhao, Xiaohu Li, Narayanaswamy Balakrishnan

Publication date: 25 March 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.09.010

zbMATH Keywords

hazard rate ordermajorization order\(p\)-larger orderweakly majorization order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Survival analysis and censored data (62N99)

Related Items (45)

Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples ⋮ ON STOCHASTIC COMPARISONS OF ORDER STATISTICS FROM HETEROGENEOUS EXPONENTIAL SAMPLES ⋮ Dispersion and variability orders of mixture exponential distributions and their sample spacings, and some associated characterizations ⋮ On the skewness of order statistics in multiple-outlier PHR models ⋮ STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS ⋮ Improved Ordering Results for Fail-Safe Systems with Exponential Components ⋮ Characterization of MRL order of fail-safe systems with heterogeneous exponential components ⋮ Necessary and sufficient conditions for stochastic orders between (n − r + 1)-out-of-n systems in proportional hazard (reversed hazard) rates model ⋮ On stochastic comparisons of maximum order statistics from the location-scale family of distributions ⋮ MRL ordering of parallel systems with two heterogeneous components ⋮ On ordering parallel systems with two components having Marshall/Olkin-type lifetime distribution ⋮ On sample ranges from two sets of heterogenous random variables ⋮ Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components ⋮ Ordering and aging properties of systems with dependent components governed by the Archimedean copula ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ Dispersive ordering of fail-safe systems with heterogeneous exponential components ⋮ Unnamed Item ⋮ On the maxima of heterogeneous gamma variables with different shape and scale parameters ⋮ On maximum order statistics from heterogeneous geometric variables ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ COMMENTS ON THE SURVEY BY BALAKRISHNAN AND ZHAO ⋮ Comparisons of largest order statistics from multiple-outlier gamma models ⋮ On stochastic comparisons of minimum order statistics from the location-scale family of distributions ⋮ LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES ⋮ COMPARISONS OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (n-k+1)-Out-Of-n Systems ⋮ On hazard rate ordering of parallel systems with two independent components ⋮ ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED ⋮ Ordering properties of convolutions of heterogeneous Erlang and Pascal random variables ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Likelihood ratio ordering of convolutions of heterogeneous exponential and geometric random variables ⋮ Bounds for mixtures of order statistics from exponentials and applications ⋮ Some new results on convolutions of heterogeneous gamma random variables ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components ⋮ Mean residual life order of convolutions of heterogeneous exponential random variables ⋮ Stochastic comparisons of series, parallel and \(k\)-out-of-\(n\) systems with heterogeneous bathtub failure rate type components ⋮ Right Spread Order of the Second-Order Statistic from Heterogeneous Exponential Random Variables ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS ⋮ Some characterization results for parallel systems with two heterogeneous exponential components ⋮ Some properties of hazard rate functions of systems with two components ⋮ Further results for parallel systems with two heterogeneous exponential components ⋮ Likelihood ratio order of sample minimum from heterogeneous Weibull random variables ⋮ Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic orders
• Some new results on stochastic comparisons of spacings from heterogeneous exponential distributions
• Order statistics: applications
• Order statistics: theory \& methods
• Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability
• Logconcavity versus logconvexity: A complete characterization
• 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
• Mean sample spacings, sample size and variability in an auction-theoretic framework.
• On preservation of some shifted and proportional orders by systems
• Stochastic orders for spacings of heterogeneous exponential random variables
• On the comparison in hazard rate ordering of fail-safe systems
• Permanents, order statistics, outliers, and robustness
• A note on expected rent in auction theory
• 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
• STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES
• Inequalities: theory of majorization and its applications
• Preservation of some likelihood ratio stochastic orders by order statistics
• Stochastic orders of the sums of two exponential random variables

This page was built for publication: Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables