Includes bibliographical references (pages 211-223) and index.
Title -- Contents -- Introduction -- Tauberian theorems -- Applications to branching processes -- Random A-permutations -- Infinitely divisible distributions -- Limit theorems in the record model -- Bibliography -- Index.
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The Tauberian theory has found a widespread application in probability theory. Despite the strong interest of probabilists in Tauberian theorems, no book specially devoted to this topic has been published yet. This monograph is intended to fill this gap.