ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

Zheng Lıu

EN

ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

Abstract

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.

Keywords

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

References

[1] P. Cerone, On an identity for the Chebychev functional and some ramications, 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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Zheng Lıu ^* This is me
China

Publication Date

October 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 2

IZ

https://izlik.org/JA77SG76NY

Cite

RIS / Bibtex

APA

Lıu, Z. (2015). ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp Journal of Mathematics, 3(2), 54-61. https://izlik.org/JA77SG76NY

AMA

1.Lıu Z. ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp J. Math. 2015;3(2):54-61. https://izlik.org/JA77SG76NY

Chicago

Lıu, Zheng. 2015. “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”. Konuralp Journal of Mathematics 3 (2): 54-61. https://izlik.org/JA77SG76NY.

EndNote

Lıu Z (October 1, 2015) ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp Journal of Mathematics 3 2 54–61.

IEEE

[1]Z. Lıu, “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”, Konuralp J. Math., vol. 3, no. 2, pp. 54–61, Oct. 2015, [Online]. Available: https://izlik.org/JA77SG76NY

ISNAD

Lıu, Zheng. “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”. Konuralp Journal of Mathematics 3/2 (October 1, 2015): 54-61. https://izlik.org/JA77SG76NY.

JAMA

1.Lıu Z. ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp J. Math. 2015;3:54–61.

MLA

Lıu, Zheng. “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”. Konuralp Journal of Mathematics, vol. 3, no. 2, Oct. 2015, pp. 54-61, https://izlik.org/JA77SG76NY.

Vancouver

1.Zheng Lıu. ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp J. Math. [Internet]. 2015 Oct. 1;3(2):54-61. Available from: https://izlik.org/JA77SG76NY