Some New Goodness-of-fit Tests for Rayleigh Distribution

In this paper, we introduce some new goodness-of-fit tests for the Rayleigh distribution based on Jeffreys, Lin-Wong and Renyi divergence measures. Then, the new proposed tests are compared with other tests in the literature. We compare the power of considered tests for some alternative distribution...

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Veröffentlicht in:Pakistan journal of statistics and operation research 2020-06, p.305-315
Hauptverfasser: Amir Jahanshahi, Seyed Mahdi, Habibi Rad, Arezo, Fakoor, Vahid
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we introduce some new goodness-of-fit tests for the Rayleigh distribution based on Jeffreys, Lin-Wong and Renyi divergence measures. Then, the new proposed tests are compared with other tests in the literature. We compare the power of considered tests for some alternative distributions whose powers are calculated by Monte Carlo simulation. Finally, we conclude that entropy-based tests have a good performance in terms of power and among them Jeffreys test is the best one.  
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v16i2.3087