New consistent exponentiality tests based on V-empirical Laplace transforms with comparison of efficiencies

We present new consistent goodness-of-fit tests for exponential distribution, based on the Desu characterization. The test statistics represent the weighted L 2 and L ∞ distances between appropriate V-empirical Laplace transforms of random variables that appear in the characterization. In addition,...

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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022, Vol.116 (1), Article 42
Hauptverfasser: Cuparić, Marija, Milošević, Bojana, Obradović, Marko
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Sprache:eng
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Zusammenfassung:We present new consistent goodness-of-fit tests for exponential distribution, based on the Desu characterization. The test statistics represent the weighted L 2 and L ∞ distances between appropriate V-empirical Laplace transforms of random variables that appear in the characterization. In addition, we perform an extensive comparison of Bahadur efficiencies of different recent and classical exponentiality tests. We also present the empirical powers of new tests.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-021-01184-3