The paper deals with the f-divergences of Csiszar generalizing the discrimination information of Kullback, the total variation distance, the Hellinger divergence, and the Pearson divergence. Allâ€¦ (More)

This paper deals with f -divergences of probability measures considered in the same general form as e.g. in [12] or [45], where f is an arbitrary (not necessarily differentiable) convex function.â€¦ (More)

The present paper is devoted to the problem of parameter estimation of the intensity function Aa of a Poisson process defined on a bounded subset U C Rd , d > l. We consider estimators based on nâ€¦ (More)

We consider the famous Rasch model, which is applied to psychometric surveys when n persons under test answer m questions. The score is given by a realization of a random binary nÃ—m-matrix. Its (j,â€¦ (More)

The paper studies the relations between Ï†-divergences and fundamental concepts of decision theory such as sufficiency, Bayes sufficiency, and LeCamâ€™s deficiency. A new and considerably simplifiedâ€¦ (More)

We consider quantizations of observations represented by finite partitions of observation spaces. Partitions usually decrease the sensitivity of observations to their probability distributions. Aâ€¦ (More)