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Variance bounds by a generalization of the Cauchy-Schwarz inequality

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  • Papathanasiou, V.

Abstract

A refinement of the Cauchy-Schwarz inequality is suitably exploited to yield upper and lower bounds for the variance of a function of a continuous random variable.

Suggested Citation

  • Papathanasiou, V., 1988. "Variance bounds by a generalization of the Cauchy-Schwarz inequality," Statistics & Probability Letters, Elsevier, vol. 7(1), pages 29-33, July.
    • Handle: RePEc:eee:stapro:v:7:y:1988:i:1:p:29-33
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    Cited by:

    1. Giorgos Afendras & Vassilis Papathanasiou, 2014. "A note on a variance bound for the multinomial and the negative multinomial distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 179-183, April.
    2. Tang, Hsiu-Khuern & See, Chuen-Teck, 2009. "Variance inequalities using first derivatives," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1277-1281, May.
    3. Giorgos Afendras, 2013. "Unified extension of variance bounds for integrated Pearson family," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 687-702, August.

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    Keywords

    variance bound;

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