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Wilcoxon‐type rank‐sum statistics for selecting the best population: Some advances

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  • Markos V. Koutras
  • Ioannis S. Triantafyllou

Abstract

In this article, we introduce three new nonparametric procedures for testing the equality of two lifetime distributions. The proposed testing processes are based on appropriately modified Wilcoxon‐type rank‐sum statistics. The exact null distribution of these statistics is studied and closed formulae for the corresponding exact probability of correct selection of the best population are derived for the class of Lehmann alternatives. A detailed numerical study is carried out to elucidate the performance of the proposed testing schemes. For illustration purposes, a real data application is presented in some detail.

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  • Markos V. Koutras & Ioannis S. Triantafyllou, 2020. "Wilcoxon‐type rank‐sum statistics for selecting the best population: Some advances," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(4), pages 696-715, July.
    • Handle: RePEc:wly:apsmbi:v:36:y:2020:i:4:p:696-715
    DOI: 10.1002/asmb.2526
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    References listed on IDEAS

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    1. Paul Laan & Subha Chakraborti, 2001. "Precedence tests and Lehmann alternatives," Statistical Papers, Springer, vol. 42(3), pages 301-312, July.
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    1. Hon Keung Tony Ng & N. Balakrishnan & S. Panchapakesan, 2007. "Selecting the Best Population Using a Test for Equality Based on Minimal Wilcoxon Rank-sum Precedence Statistic," Methodology and Computing in Applied Probability, Springer, vol. 9(2), pages 263-305, June.

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