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Asymptotic expansions for conditional moments of Bernoulli trials

  • Helmut Strasser
Veröffentlicht/Copyright: 6. November 2012
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Abstract

In this paper we study conditional distributions of independent, but not identically distributed Bernoulli random variables. The conditioning variable is the sum of the Bernoulli variables. We obtain Edgeworth expansions for the conditional expectations and the conditional variances and covariances. The results are of basic interest for several applications, e.g. for the study of conditional maximum likelihood estimation in Rasch models with many item parameters.


* Correspondence address: Vienna University of Economics and Business Administration, Augasse 2-6, 1090 Vienna, Österreich,

Published Online: 2012-11-06
Published in Print: 2012-11

© by Oldenbourg Wissenschaftsverlag, München, Germany

Heruntergeladen am 22.12.2025 von https://www.degruyterbrill.com/document/doi/10.1524/strm.2012.1124/html?lang=de
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