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.
Original language | English |
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Pages (from-to) | 554-576 |
Number of pages | 23 |
Journal | Statistics : A Journal of Theoretical and Applied Statistics |
Volume | 57 |
Issue number | 3 |
Early online date | 24 Apr 2023 |
DOIs | |
Publication status | Published - 24 Apr 2023 |
Keywords
- precedence test
- weighted precedence test
- life-testing
- Lehmann alternative
- level of significance