Weighted general cumulative entropy and a goodness of fit for normality

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Abstract

We propose a weighted general cumulative entropy by employing the comparison distribution function, and provide the asymptotic distribution of its estimator. We also discuss the characterization property, and suggest a goodness of fit test based on the general cumulative entropy for normality.

Original languageEnglish
Pages (from-to)4733-4742
Number of pages10
JournalCommunications in Statistics - Theory and Methods
Volume50
Issue number20
DOIs
Publication statusPublished - 2021

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2018R1D1A1B07042581). The author is grateful to two anonymous referees and the associate editor for providing some useful comments on an earlier version of this manuscript.

Publisher Copyright:
© 2020 Taylor & Francis Group, LLC.

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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