On a Problem of Moments

admin May 17, 2015

Authors:

Arvinda Banerjee ,Mihir B. Banerjee ,

DOI NO:

https://doi.org/10.26782/jmcms.2014.01.00001

Keywords:

probability distribution , first moment of a probability distribution ,second moment of a probability distribution ,

Abstract

The necessary and sufficient conditions for a point ),(21μμ in the −μμ21plane to be constituted of the first and second moment of a probability distribution have been established in the present paper. The main results are reported in Theorem 1 and Theorem 2.

Refference:

I. Shohat, J.A. and Tamarkin, J. D. The Problem of Moments, American Mathematical Society,1963.

II. Banerjee, M.B. and Shandil, R.G. A theorem of mean and standard deviation of a statistical variate, Ganita, 46,21-23.

III. Kapur, J.N. On inequality between moments of probability distribution, Ganita, 47,37-41.

Arvinda Banerjee ,Mihir B. Banerjee View Download