Further results based on Chernoff-type inequalities
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- 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.
- 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.
- 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.
- 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.
- 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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- 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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Keywords
Chernoff inequality Variance bounds Lebesgue-Stieltjes measure Hazard measure Characterizations Cox representation;Statistics
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