Summary
We consider the determination of the behavior of a distribution function F at its endpoints in terms of the behavior of its Laplace-Stieltjes transform Ω at the limits of its interval of convergence. The results extend various known strong and weak results to a larger class of distributions via a relatively straightforward technique based on the weak convergence of suitably normalized associated distributions. An application and examples are considered briefly.
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Research supported by Technion VPR Fund-Lawrence Deutsch Research Fund
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Feigin, P.D., Yashchin, E. On a strong Tauberian result. Z. Wahrscheinlichkeitstheorie verw Gebiete 65, 35–48 (1983). https://doi.org/10.1007/BF00534992
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DOI: https://doi.org/10.1007/BF00534992