On Inequalities Involving Moments of Discrete Uniform Distributions

Authors

  • S. R. Sharma Department of Mathematics, Chitkara University, Solan-174 103, Himachal Pradesh
  • R . Sharma Department of Mathematics, H.P. University, Summer Hill, Shimla-171 005

DOI:

https://doi.org/10.15415/mjis.2012.11003

Keywords:

Moments, Power means, Discrete distribution, Geometric mean

Abstract

Some inequalities for the moments of discrete uniform distributions are obtained. The inequalities for the ratio and difference of moments are given. The special cases give the inequalities for the standard power means.

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References

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R. Sharma, R,G, Shandil, S. Devi and M. Dutta, Some Inequalities between Moments of probability distribution, J. Inequal. Pure and Appl. Math., 5 (2): Art. 86, (2004).

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R. Sharma, Some more inequalities for arithmetic mean, harmonic mean and variance, Journal of Mathematical Inequalities, 2: 109–114, (2008). http://dx.doi.org/10.7153/jmi-02-11

E.N. Laguerre, Surune mathode pour obtenir par approximation les raciness d’ une Equation algebrique qul a tautes ses raciness [in French], Nouvelles Annales de Mathematiques (Paris), 2e Serie 19: 161–171 and 193–202, (1980) [JFM12:71].

A. Lupas, Problem 246, Mathematicki vesnik (Belgrade), 8 (23): 333, (1971).

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Published

2012-07-02

How to Cite

S. R. Sharma, and R . Sharma. 2012. “On Inequalities Involving Moments of Discrete Uniform Distributions”. Mathematical Journal of Interdisciplinary Sciences 1 (1):35-46. https://doi.org/10.15415/mjis.2012.11003.

Issue

Vol. 1 No. 1 (2012)

Section

Articles

License

 

Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.

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Creative Commons License Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in
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