A jackknife empirical likelihood ratio test for log-symmetric distributions

Ganesh Vishnu Avhad and Ananya Lahiri

Statistics & Probability Letters, 2025, vol. 222, issue C

Abstract: A nonparametric test for assessing log-symmetric distributions is proposed, including the jackknife empirical likelihood and adjusted jackknife empirical likelihood ratio tests. The asymptotic distribution of the test statistic has been derived as well. A comprehensive Monte Carlo simulation study shows that the proposed tests exhibit good power against various alternative distributions. Additionally, the method is demonstrated using two real data sets to highlight their practical applicability.

Keywords: Log-symmetric distributions; U-statistics; Wilks’ theorem; Jackknife empirical likelihood (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110394

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