Mallows’ models for imperfect ranking in ranked set sampling

Nikolay I. Nikolov () and Eugenia Stoimenova ()
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Nikolay I. Nikolov: Bulgarian Academy of Sciences
Eugenia Stoimenova: Bulgarian Academy of Sciences

AStA Advances in Statistical Analysis, 2020, vol. 104, issue 3, No 5, 459-484

Abstract: Abstract In this paper, we consider some statistical measures of deviation from the perfect ranking in the framework of ranked set sampling. We use nonparametric approach for testing the null hypothesis for perfect ranking. The distance-based Mallows’ models with appropriate distance on permutations are suggested in the case of imperfect ranking. Some asymptotic results for the corresponding error probability matrix are derived for the models based on Spearman’s footrule and Spearman’s rho. We propose an EM algorithm for estimating the unknown parameter in the Mallows’ models in order to compare the power of the presented test statistics.

Keywords: Ranked set sampling; Imperfect ranking; Mallows’ models; Distances on permutations; EM algorithm (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:alstar:v:104:y:2020:i:3:d:10.1007_s10182-019-00354-4

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DOI: 10.1007/s10182-019-00354-4

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