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On a new goodness-of-fit test for the Rayleigh distribution based on a conditional expectation characterization

Shawn Carl Liebenberg, Joseph Ngatchou-Wandji and James Samuel Allison

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 15, 5226-5240

Abstract: We propose and study new goodness-of-fit tests for the Rayleigh distribution based on a characterization involving a conditional expectation. The asymptotic properties of the tests are explored and the performance of the new tests are evaluated and compared to that of existing tests by means of a Monte Carlo study. It is found that the newly proposed tests perform satisfactory compared to the competitor tests.

Date: 2022
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DOI: 10.1080/03610926.2020.1836220

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