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

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  • Saralees Nadarajah

    (University of Manchester)

  • Xiao Jiang

    (University of Manchester)

  • Jeffrey Chu

    (University of Manchester)

Abstract

We derive conditions for stochastic, hazard rate, likelihood ratio, reversed hazard rate, increasing convex and mean residual life orderings of Pareto distributions with different shape and scale parameters. A real data application of the conditions is presented.

Suggested Citation

  • Saralees Nadarajah & Xiao Jiang & Jeffrey Chu, 2017. "Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters," Annals of Operations Research, Springer, vol. 254(1), pages 191-209, July.
    • Handle: RePEc:spr:annopr:v:254:y:2017:i:1:d:10.1007_s10479-017-2444-0
    DOI: 10.1007/s10479-017-2444-0
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    References listed on IDEAS

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    1. Thierry Warin & Daniel Leiter, 2012. "Homogenous goods markets: an empirical study of price dispersion on the internet," International Journal of Economics and Business Research, Inderscience Enterprises Ltd, vol. 4(5), pages 514-529.
    2. Li, Chen & Li, Xiaohu, 2015. "Likelihood ratio order of sample minimum from heterogeneous Weibull random variables," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 46-53.
    3. Bae, Suk Joo & Kim, Seong-Joon & Lee, Jin-Hwa & Song, Inseob & Kim, Nam-In & Seo, Yongho & Kim, Ki Buem & Lee, Naesung & Park, Jun-Young, 2014. "Degradation pattern prediction of a polymer electrolyte membrane fuel cell stack with series reliability structure via durability data of single cells," Applied Energy, Elsevier, vol. 131(C), pages 48-55.
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    Cited by:

    1. Vasile Preda & Luigi-Ionut Catana, 2021. "Tsallis Log-Scale-Location Models. Moments, Gini Index and Some Stochastic Orders," Mathematics, MDPI, vol. 9(11), pages 1-22, May.

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