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Further results based on Chernoff-type inequalities

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  • Mohtashami Borzadaran, G. R.
  • Shanbhag, D. N.

Abstract

In this paper, we address questions dealing with characterizations based on Chernoff-type moment inequalities and their variants and establish, via the approach of Alharbi and Shanbhag [(1996) J. Statist. Plann. Inference 55, 139-150], general theorems extending, among others, various results of Cacoullos and Papathanasiou [(1995), Math. Meth. Statist. 4, 106-113; (1997), J. Statist. Plann. Inference 63, 157-171].

Suggested Citation

  • Mohtashami Borzadaran, G. R. & Shanbhag, D. N., 1998. "Further results based on Chernoff-type inequalities," Statistics & Probability Letters, Elsevier, vol. 39(2), pages 109-117, August.
    • Handle: RePEc:eee:stapro:v:39:y:1998:i:2:p:109-117
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    References listed on IDEAS

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    1. Prakasa Rao, B. L. S. & Sreehari, M., 1986. "Another characterization of multivariate normal distribution," Statistics & Probability Letters, Elsevier, vol. 4(4), pages 209-210, June.
    2. Cacoullos, T. & Papathanasiou, V., 1992. "Lower variance bounds and a new proof of the central limit theorem," Journal of Multivariate Analysis, Elsevier, vol. 43(2), pages 173-184, November.
    3. R. Korwar, 1991. "On characterizations of distributions by mean absolute deviation and variance bounds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(2), pages 287-295, June.
    4. Cacoullos, T. & Papathanasiou, V., 1985. "On upper bounds for the variance of functions of random variables," Statistics & Probability Letters, Elsevier, vol. 3(4), pages 175-184, July.
    5. Deo Kumar, Srivastava & Sreehari, M., 1987. "Characterization of a family of discrete distributions via a chernoff type inequality," Statistics & Probability Letters, Elsevier, vol. 5(4), pages 293-294, June.
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    Cited by:

    1. N. Nair & K. Sudheesh, 2008. "Some results on lower variance bounds useful in reliability modeling and estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 591-603, September.

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