Abstract <p> We discuss Poisson approximation of distributions of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11006_2025_3076_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({\chi}^2\)</EquationSource> </InlineEquation>-statistics if the number of groups and the sample size go off to infinity simultaneously. </p>

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Poisson Approximation to the Distributions of \(\chi^2\)-Statistics

  • I. S. Borisov,
  • M. J. Jetpisbaev

摘要

Abstract

We discuss Poisson approximation of distributions of \({\chi}^2\) -statistics if the number of groups and the sample size go off to infinity simultaneously.