On precedence tests with double sampling

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Chakraborty, Niladri and Balakrishnan, Narayanaswamy and Finkelstein, Maxim (2023) On precedence tests with double sampling. Statistics : A Journal of Theoretical and Applied Statistics, 57 (3). pp. 554-576. ISSN 1029-4910 (https://doi.org/10.1080/02331888.2023.2203491)

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Abstract

A new double sampling-based precedence and weighted precedence tests are introduced and analysed. The joint distributions of two precedence and weighted precedence statistics are obtained under the double-sampling framework. Subsequently, the closed-form expressions for the rejection probabilities are derived under the null hypothesis and the Lehmann alternative. The corresponding power comparison is carried out against the Lehmann alternative and the location-scale alternative through Monte-Carlo simulations. Finally, a couple of detailed illustrative examples are presented.

ORCID iDs

Chakraborty, Niladri, Balakrishnan, Narayanaswamy and Finkelstein, Maxim ORCID logoORCID: https://orcid.org/0000-0002-3018-8353;
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