International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064

Downloads: 94 | Views: 100

Survey Paper | Statistics | India | Volume 3 Issue 11, November 2014

Lower Bounds on Variance of Estimators Past, Present and Future

A. Shanubhogue | D. B. Jadhav

Abstract: The approach to obtain uniformly minimum variance unbiased estimator (UMVUE) through the lower bound on the variance of an unbiased estimator involves two problems: 1. To provide a lower bound and 2. To identify the classes of (a) probability distributions (b) estimators and (c) parametric functions for which a particular bound is attained by the variance of the UMVUE. Many authors have provided various solutions to these problems starting from Fre chet (1943), Crame r (1946) and Rao (1945). In this paper we are trying to provide a brief history of lower bounds on the variance of unbiased estimators. It is tried to take an account of little bit of present and possible future work in the field of non-regular families of distributions. Sometimes different inequalities provide different bounds for the variance of estimators of the same parametric function. In such situations, it is natural to compare the bounds. We have made a brief mention of these efforts also. A few important references are provided.

Keywords: Cramr- Rao type inequalities, history of variance bounds, information inequalities, lower bounds on variance, minimum variance unbiased estimation

Edition: Volume 3 Issue 11, November 2014,

Pages: 1296 - 1298

How to Download this Article?

Type Your Email Address below to Download the Article PDF

How to Cite this Article?

A. Shanubhogue, D. B. Jadhav, "Lower Bounds on Variance of Estimators Past, Present and Future", International Journal of Science and Research (IJSR), Volume 3 Issue 11, November 2014, pp. 1296-1298,

Similar Articles with Keyword 'type'

Downloads: 0

Dissertation Chapters, Statistics, India, Volume 11 Issue 12, December 2022

Pages: 502 - 507

Impact of Demographic Variables on Buying Behaviour of Life Insurance Policy: An Empirical Study

K. Navatha [2] | V. V Hara Gopal

Share this Article

Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Statistics, India, Volume 12 Issue 2, February 2023

Pages: 905 - 909

Designing a better Support Vector Machines Classification Model for Multi-Class Category

Muthukrishnan .R | Udaya Prakash .N

Share this Article