ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

Zheng Lıu

Research Article

ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

Year 2015, Volume: 3 Issue: 2, 54 - 61, 01.10.2015

Zheng Lıu

https://izlik.org/JA77SG76NY

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.

Year 2015, Volume: 3 Issue: 2, 54 - 61, 01.10.2015

Zheng Lıu

https://izlik.org/JA77SG76NY

Abstract

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.

There are 2 citations in total.

Details

Primary Language	English
Subjects	Engineering
Journal Section	Research Article
Authors	Zheng Lıu This is me
Submission Date	July 10, 2014
Publication Date	October 1, 2015
IZ	https://izlik.org/JA77SG76NY
Published in Issue	Year 2015 Volume: 3 Issue: 2

Cite

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