In this paper we develop a Bayesian analysis for the zero-inflated regression models based on the COM-Poisson distribution. Our approach is based on Markov chain Monte Carlo methods. We discuss model selection, as well as, develop case deletion influence diagnostics for the joint posterior distribution based on the ψ-divergence, which has several divergence measures as particular cases, such as...

The importance of suitable distance measures between intuitionistic fuzzy sets (IFSs) arises because of the role they play in the inference problem. A concept closely related to one of distance measures is a divergence measure based on the idea of information-theoretic entropy that was first introduced in communication theory by Shannon (1949). It is known that Jdivergence is an important famil...

Quantitative evaluation of similarity between feature densities of images is an important step in several computer vision and data-mining applications such as registration of two or more images and retrieval and clustering of images. Previously we had introduced a new class of similarity measures based on entropic graphs to estimate Rènyi’s a-entropy, a-Jensen difference divergence, a-mutual in...

Abstract. It is shown that the f -divergence between two probability measures P and R equals the supremum of the same f -divergence computed over all finite measurable partitions of the original space, thus generalizing results previously proved by Gel’fand and Yaglom and by Peres for the Information Divergence and more recently by Dukkipati, Bhatnagar and Murty for the Tsallis’ and Rényi’s div...

We have considered one parametric generalization of the nonsymmetric relative J-divergence measure. The generalized measure is shown belonging to the Csiszár’s f-divergence class. Further, we have derived bounds for the generalized measure in terms of well known divergence measures.

We consider inequalities which incorporate both Jensen and Ostrowski type inequalities for functions with absolutely continuous n-th derivative. We provide applications of these inequalities for divergence measures. In particular, we obtain inequalities involving higher order χ-divergence.