Scholarlink

Abstract <p>We find moments of the Kolmogorov distribution of all real orders in terms of Riemann’s zeta and Euler’s gamma functions. As a corollary, using a representation of the logistic distribution as a Kolmogorov–Gaussian mixture, we also provide absolute moments of the logistic distribution of orders <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p&gt;-1\)</EquationSource> <!--CMatCMGU2670022Korolev-m1--> </InlineEquation>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the Moments of the Kolmogorov and Logistic Distributions

  • 期刊论文

  • 发表日期：

    2026年7月26日

查看全文
  • V. Yu. Korolev,
  • I. G. Shevtsova

摘要

Abstract

We find moments of the Kolmogorov distribution of all real orders in terms of Riemann’s zeta and Euler’s gamma functions. As a corollary, using a representation of the logistic distribution as a Kolmogorov–Gaussian mixture, we also provide absolute moments of the logistic distribution of orders \(p>-1\) .