Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters

DOI10.1007/s10479-017-2444-0OpenAlexW2590439968MaRDI QIDQ2400014

Xiao Jiang, Jeffrey Chu, Saralees Nadarajah

Publication date: 25 August 2017

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-017-2444-0

zbMATH Keywords

stochastic ordershape parametersPareto type II distributionPareto type I distribution

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (6)

Stochastic comparison of parallel systems with Pareto components ⋮ Orderings for series and parallel systems comprising heterogeneous new extended Weibull components ⋮ Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables ⋮ Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications ⋮ Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model ⋮ Stochastic Comparisons of Systems with Heterogeneous Log-Logistic Components

Uses Software

• R

Cites Work

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• Stochastic orders
• On the right spread ordering of series systems with two heterogeneous Weibull components
• Likelihood ratio order of sample minimum from heterogeneous Weibull random variables
• Weibull distribution: some stochastic comparisons results
• Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters
• ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS

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