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Exponential families related to Chernoff-type inequalities
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Abstract
In this paper, the characterization results related to linebreakChernoff-type inequalities are applied for exponential-type(continuous and discrete) families. Upper variance bound isobtained here with a slightly different technique used inAlharbi and Shanbhag [1] and Mohtashami Borzadaran andShanbhag [8]. Some results are shown with assumingmeasures such as non-atomic measure, atomic measure,Lebesgue measure and counting measure as special cases ofLebesgue-Stieltjes measure. Characterization results on power seriesdistributions via Chernoff-type inequalities are corollaries to our results.
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