Abstract
In this paper, we investigate the Dirichlet type 3 distribution. First, some main properties are elaborated and illustrated. Next, we set forward a representation which allows to compute many functionals in a closed form, making the Dirichlet type 3 distribution an exactly soluble model. Furthermore, we consider the Gibbs version of the Dirichlet type 3 distribution including selection. By using the representation mentioned above, we obtain the moment function of the geometrical average of the random variables according to the new distribution; special types of Bell polynomials are shown to be involved. Finally, we provide a concrete example to illustrate the performance of the Dirichlet type 3 distribution.
Acknowledgement
The authors would like to thank the two referees as well as the editor for their constructive comments, which helped improve the quality of the paper.
Citation
Rahmouna Mecene. Mohamed Ali Ghorbel. "Properties of the Dirichlet type 3 distribution." Hiroshima Math. J. 53 (1) 1 - 25, March 2023. https://doi.org/10.32917/h2020102
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