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Superadditive functions and a statistical application. (English) Zbl 0688.44002
The authors present a new and simple characterization of a subclass of the completely monotonic functions. Further they show that the reciprocals of a class of Laplace transforms are superadditive and employ it to establish the uniqueness of the maximum likelihood estimates of the parameters for a statistical inference problem.
Reviewer: S.D.Bajpai

MSC:
44A10 Laplace transform
26D15 Inequalities for sums, series and integrals
33B15 Gamma, beta and polygamma functions
62H12 Estimation in multivariate analysis
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