In this paper, first the Bhattacharray and Kshirsagar bounds are introduced and then the multiparameter Bhattacharyya bound is presented in simpler and understandable form. Furthermore, the multiparameter Kshirsagar lower bound, which has not been studied yet, is obtained. Finally, by presenting some example of Log-normal distribution, the bounds are computed and compared.
Nayeban S, Rezaei Roknabadi A H, Mohtashami Borzadaran G R. Multiparameter Bhattacharyya and Kshirsagar Lower Bounds for the Variance of Unbiased Estimators. JSS 2014; 7 (2) :269-285 URL: http://jss.irstat.ir/article-1-226-en.html