Convergence of random power series with pairwise independent Banach-space-valued coefficients

Markus Roters

Statistics & Probability Letters, 1993, vol. 18, issue 2, 121-123

Abstract: The distribution of the radius of convergence of a random power series with pairwise independent and non-identically distributed Banach-space-valued coefficients is considered. The results obtained here extend the well-known work in the complex-valued, identically distributed case and provide a correction of a theorem in Rohatgi (1975) concerning independent, non-identically distributed coefficients.

Keywords: Random; power; series; radius; of; convergence; zero-one; law; refined; Borel-Cantelli; lemma (search for similar items in EconPapers)
Date: 1993
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