A Tauberian Theorem of E. Landau and W. Feller

E. Seneta

doi:10.1214/aop/1176996811

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Home > Journals > Ann. Probab. > Volume 1 > Issue 6 > Article

December, 1973 A Tauberian Theorem of E. Landau and W. Feller

E. Seneta

Ann. Probab. 1(6): 1057-1058 (December, 1973). DOI: 10.1214/aop/1176996811

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Abstract

A simple proof, with a little-known extension, of a density version of Karamata's Tauberian theorem is presented, and the result applied to limit distributions of the Galton-Watson process.