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Ordered random variables

Author

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  • Saralees Nadarajah

    (University of Manchester)

  • Emmanuel Afuecheta

    (University of Manchester)

  • Stephen Chan

    (American University of Sharjah)

Abstract

Given two random variables, what effect does a linear ordering have? We answer this question for more than thirty commonly known families of distributions, including the arcsine, Cauchy, exponential, Fréchet, Gumbel, half normal, logistic, lognormal, Lomax, normal, Pareto, uniform and Weibull distributions. A real data application is given.

Suggested Citation

  • Saralees Nadarajah & Emmanuel Afuecheta & Stephen Chan, 2019. "Ordered random variables," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 344-366, March.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:1:d:10.1007_s12597-019-00355-6
    DOI: 10.1007/s12597-019-00355-6
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    References listed on IDEAS

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    1. Eric A. Lehmann & Aloke Phatak & Alec Stephenson & Rex Lau, 2016. "Spatial modelling framework for the characterisation of rainfall extremes at different durations and under climate change," Environmetrics, John Wiley & Sons, Ltd., vol. 27(4), pages 239-251, June.
    2. Adamidis, K. & Loukas, S., 1998. "A lifetime distribution with decreasing failure rate," Statistics & Probability Letters, Elsevier, vol. 39(1), pages 35-42, July.
    3. Hsing, Tailen, 1995. "On the asymptotic independence of the sum and rare values of weakly dependent stationary random variables," Stochastic Processes and their Applications, Elsevier, vol. 60(1), pages 49-63, November.
    4. J. K. Lindsey & W. D. Byrom & J. Wang & P. Jarvis & B. Jones, 2000. "Generalized Nonlinear Models for Pharmacokinetic Data," Biometrics, The International Biometric Society, vol. 56(1), pages 81-88, March.
    5. S. Nadarajah & C. W. Anderson & J. A. Tawn, 1998. "Ordered multivariate extremes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(2), pages 473-496.
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    Cited by:

    1. M. A. El Sayed & Ibrahim A. Baky & Pitam Singh, 2020. "A modified TOPSIS approach for solving stochastic fuzzy multi-level multi-objective fractional decision making problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1374-1403, December.

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