Multiparameter Bhattacharyya and Kshirsagar Lower Bounds for the Variance of Unbiased Estimators

Author(s):

Samira Nayeban , Abdol Hamid Rezaei Roknabadi , Gholam Reza Mohtashami Borzadaran

Message:
Abstract:

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.

Keywords:

Bhattacharrya bound , Cramer , Rao bound , Hammersley , Chapman , Robbins bound , Kshirsagar bound

Language:
Persian
Published:
Journal of Statistical Sciences, Volume:7 Issue: 2, 2014
Pages:
269 to 285
https://magiran.com/p1253215  
سامانه نویسندگان
  • Mohtashami Borzadaran، Gholam Reza
    Corresponding Author (3)
    Mohtashami Borzadaran, Gholam Reza
    Professor Statistics, Faculty of Mathematical Sciences, Ferdowsi University, مشهد, Iran
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