%0 Journal Article %T Generalization of Cram¨¦r-Rao and Bhattacharyya inequalities for the weighted covariance matrix %A Kelbert %A Mark %A Mozgunov %A Pavel %J - %D 2017 %X Sa£¿etak The paper considers a family of probability distributions depending on a parameter. The goal is to derive the generalized versions of Cram¨¦r-Rao and Bhattacharyya inequalities for the weighted covariance matrix and of the Kullback inequality for the weighted Kullback distance, which are important objects themselves [9, 23, 28]. The asymptotic forms of these inequalities for a particular family of probability distributions and for a particular class of continuous weight functions are given %K weighted covariance matrix %K weighted Fisher information %K Cram¨¦r-Rao inequality %K Bhattacharyya inequality %K Kullback inequality %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=260484