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.
Bibliographical noteFunding 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.
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All Science Journal Classification (ASJC) codes
- Statistics and Probability