The law of the iterated logarithm for character ratios

Zhonggen Su

Statistics & Probability Letters, 2005, vol. 71, issue 4, 337-346

Abstract: Recently, Fulman developed some general connections between martingales and character ratios of a random representation of the symmetric group on transitions, and obtained a convergence rate in a central limit theorem. In this work we aim to establish the law of the iterated logarithm for character ratios. The technique is a well-known Skorokhod embedding theorem for martingales and strong approximation argument. Also, bounded martingale difference methods are used to obtain a large deviation for character ratios.

Keywords: Character; ratio; Plancherel; measure; Skorokhod's; embedding; scheme; The; law; of; the; iterated; logarithm (search for similar items in EconPapers)
Date: 2005
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