Abstract <p> In this paper, we obtain the moderate deviations principle for a sequence of products of independent partial sums of positive independent identically distributed random variables. We assumed that these random variables satisfy the Cramer condition as well as an additional moment condition. As a consequence, we obtain the moderate deviations principle for a sequence of determinants of Wishart matrices. </p>

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Moderate Deviations Principle for Products of Independent Partial Sums of Independent Random Variables

  • E. V. Efremov,
  • A. V. Logachev

摘要

Abstract

In this paper, we obtain the moderate deviations principle for a sequence of products of independent partial sums of positive independent identically distributed random variables. We assumed that these random variables satisfy the Cramer condition as well as an additional moment condition. As a consequence, we obtain the moderate deviations principle for a sequence of determinants of Wishart matrices.