Subject: Q Science (General)
Year: 2018
Type: Article
Type: NonPeerReviewed
Title: Distribution theory for exponential families
Author: Bexheti, Bedrije
Author: Jusufi-Zenku, Teuta
Author: Asani, Qamile
Abstract: The importance of exponential family distributions lies in the way in which the parameter of the model interacts with the argument of the density or frequency function in the model function. This type of structure simplifies certain aspects of the distribution theory of the model, particularly those aspects concerned with how the distributions change under changes in parameter values. Consider a random variable Y with model function of the form only the first of these terms depends on θ and that term depends on Y only thought T(Y). In this paper we give two theorems which give expressions of the idea that the dependence of the distribution of Y on θ is primarily through the dependence of distribution of T(Y) on θ.
Publisher: Faculty of Natural Sciences and Mathematics
Relation: https://eprints.unite.edu.mk/156/
Identifier: oai:eprints.unite.edu.mk:156
Identifier: https://eprints.unite.edu.mk/156/1/23.pdfIdentifier: Bexheti, Bedrije and Jusufi-Zenku, Teuta and Asani, Qamile (2018) Distribution theory for exponential families. Journal of Natural Sciences and Mathematics of UT, 3 (5-6). pp. 157-162. ISSN 2671-3039
