ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

Yıl 2015, Cilt: 3 Sayı: 2, 54 - 61, 01.10.2015

Zheng Lıu

Öz

Some elementary inequalities for the expectation and variance of a continuous random variable whose probability density function is de ned on a nite interval are obtained by using an identity due to P. Cerone for the Chebyshev functional and some standard results from the theory of inequali- ties. Thus some mistakes in the literatures are corrected.

Anahtar Kelimeler

random variable, expectation, variance, probability density function, Chebyshev functional

Kaynakça

• [1] P. Cerone, On an identity for the Chebychev functional and some ramications, J. Inequal. Pure and Appl. Math., 3(1) (2002), Art. 4. (http://jipam.vu.edu.au/).
• [2] P. Cerone and S. S. Dragomir, On some inequalities arising from Montgomery's identity, J. Comput. Anal. Applics., 5(4) (2003), 341-368.