<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research. We give necessary and/or sufficient conditions for some stochastic orders of log-epsilon-skew-normal distributions. Also, we give sufficient conditions for orders of moments and Gini indexes. Finally, it is presented a real data application.</p>
</abstract>

The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research. We give necessary and/or sufficient conditions for some stochastic orders of log-epsilon-skew-normal distributions. Also, we give sufficient conditions for orders of moments and Gini indexes. Finally, it is presented a real data application.

Stochastic orders of log-epsilon-skew-normal distributions

Mathematical Doctoral School, University of Bucharest

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Stochastic orders of log-epsilon-skew-normal distributions"}

The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of...

Stochastic orders of log-epsilon-skew-normal distributions

Publié en ligne: 12 mars 2022

Pages: 109 - 128

Reçu: 13 juil. 2021

Accepté: 13 sept. 2021

DOI: https://doi.org/10.2478/auom-2022-0007

Mots clés
Stochastic order, Log-Normal distribution, index Gini

© 2022 Luigi-Ionut Catana, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Stochastic orders of log-epsilon-skew-normal distributions

Publié en ligne: 12 mars 2022

Pages: 109 - 128

Reçu: 13 juil. 2021

Accepté: 13 sept. 2021

DOI: https://doi.org/10.2478/auom-2022-0007

Mots clésStochastic order, Log-Normal distribution, index Gini

© 2022 Luigi-Ionut Catana, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Stochastic order, Log-Normal distribution, index Gini