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All Journal Asian Journal of Science, Technology, Engineering, and Art Mikailalsys Journal of Mathematics and Statistics
Nkombou, M. B. W.
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Arts Computer Science & IT Engineering Mathematics Mechanical Engineering Social Sciences

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Derivation of Cumulative Residual Entropy for a Modified Skewed Distribution Nkombou, M. B. W.; David, I. J.; Okeke, E. N.
Asian Journal of Science, Technology, Engineering, and Art Vol 3 No 3 (2025): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v3i3.5388

Abstract

In this paper, the derivation of cumulative residual entropy which makes use of a probability distribution survival function for the derivation is presented. The entropy is derived for of a distribution introduced by Nkombou et al. (2025) called DUS Skew Student-t (DUSSS-t) Distribution. Specifically, the entropy derived is the Cumulative Residual Renyi Entropy (CRRE). The final result shows it is possible that other cumulative residual entropy for the DUSSS-t can be estimated following the same approach in this paper.
Renyi Entropy Derivation for a Modified Skewed Student-t Distribution Nkombou, M. B. W.; David, I. J.; Okeke, E. N.
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5265

Abstract

This paper derives the Renyi entropy for a modified Skew Student-t distribution (SStD). The skew Student-t distribution was modified using DUS transformation technique. The final expression of the Renyi entropy was derived using the probability density function of the transformed (SStD).
Co-Authors David, I. J. Okeke, E. N.