Generating function for generalized Fisher information measure and its application to finite mixture models

Authors : Omid KHARAZMİ, Narayanaswamy BALAKRİSHNAN

Pages : 1472-1483

Doi:10.15672/hujms.1094273

View : 28 | Download : 7

Publication Date : 2022-10-01

Article Type : Research Paper

Abstract :In this work, we consider generating function for generalized Fisher information measure and use it to develop some results for this measure. Next, we study generalized Fisher information for the mixing parameter vector of a finite mixture density function and develop some results for this model. Further, we propose a Jensen-type divergence measure, namely, Jensen-generalized Fisher information insert ignore into journalissuearticles values(JGFI);, and establish some properties for this measure and its generating function. Finally, for illustrative purposes, we examine a real example from image processing and provide some numerical results in terms of JGFI measure. 
Keywords : Fisher information, generalized Fisher information, generating function, Jensen Fisher information, finite mixture distributions