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ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE

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

Zheng Lıu

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 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.

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

Zheng Lıu

Abstract

References

  • [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.
There are 2 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Zheng Lıu This is me

Publication Date October 1, 2015
Submission Date July 10, 2014
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.
AMA Lıu Z. ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp J. Math. October 2015;3(2):54-61.
Chicago Lıu, Zheng. “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”. Konuralp Journal of Mathematics 3, no. 2 (October 2015): 54-61.
EndNote Lıu Z (October 1, 2015) ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp Journal of Mathematics 3 2 54–61.
IEEE Z. Lıu, “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”, Konuralp J. Math., vol. 3, no. 2, pp. 54–61, 2015.
ISNAD Lıu, Zheng. “ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE”. Konuralp Journal of Mathematics 3/2 (October 2015), 54-61.
JAMA 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, 2015, pp. 54-61.
Vancouver Lıu Z. ON SOME INEQUALITIES FOR THE EXPECTATION AND VARIANCE. Konuralp J. Math. 2015;3(2):54-61.
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