Gómez, Y.M.; Firinguetti-Limone, L.; Gallardo, D.I.; Gómez, H.W. An Extension of the Akash Distribution: Properties, Inference and Application. Mathematics2024, 12, 31.
Gómez, Y.M.; Firinguetti-Limone, L.; Gallardo, D.I.; Gómez, H.W. An Extension of the Akash Distribution: Properties, Inference and Application. Mathematics 2024, 12, 31.
Gómez, Y.M.; Firinguetti-Limone, L.; Gallardo, D.I.; Gómez, H.W. An Extension of the Akash Distribution: Properties, Inference and Application. Mathematics2024, 12, 31.
Gómez, Y.M.; Firinguetti-Limone, L.; Gallardo, D.I.; Gómez, H.W. An Extension of the Akash Distribution: Properties, Inference and Application. Mathematics 2024, 12, 31.
Abstract
In this article we introduce an extension of the Akash distribution. We use the slash 1
methodology to make the kurtosis of the Akash distribution more flexible. We study the general 2
density of this new distribution, some properties, moments, coefficients of asymmetry and kurtosis. 3
Statistical inference is performed using the methods of moments and maximum likelihood via the 4
EM algorithm. A simulation study is carried out to observe the behavior of the maximum likelihood 5
estimator. An application to a real data set with high kurtosis is considered, where it is shown that 6
the new distribution fits better than other extensions of the Akash distribution.
Keywords
Akash distribution; Kurtosis; Maximum likelihood estimation; Slash distribution
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
