Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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EXPONENTIAL FAMILIES RELATED TO CHERNOFF-TYPE INEQUALITIES

  • Bor, G.R.Mohtashami (Department of Mathematics and Statistics, Faculty of Science, University of Birjand)
  • Published : 2002.07.01
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Abstract

In this paper, the characterization results related to Chernoff-type inequalities are applied for exponential-type (continuous and discrete) families. Upper variance bound is obtained here with a slightly different technique used in Alharbi and Shanbhag [1] and Mohtashami Borzadaran and Shanbhag [8]. Some results are shown with assuming measures such as non-atomic measure, atomic measure, Lebesgue measure and counting measure as special cases of Lebesgue-Stieltjes measure. Characterization results on power series distributions via Chernoff-type inequalities are corollaries to our results.

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References

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