Probability Inequalities for the Sum of Random Variables When Sampling Without Replacement

Kent Riggs, Dean Young, Jeremy J Becnel

Abstract


Exponential-type upper bounds are formulated for the probability that the maximum of the partial sample sums of discrete random variables having finite equispaced support exceeds or differs from the population mean by a specified positive constant. The new inequalities extend the work of Serfling (1974). An example of the results are given to demonstrate their efficacy.

Full Text: PDF DOI: 10.5539/ijsp.v2n4p75

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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