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Approximations of empirical probability generating processes

  • Gábor Szűcs
Published/Copyright: September 25, 2009
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Summary

First we polish an argument of Rémillard and Theodorescu for the weak convergence of the empirical probability generating process. Then we prove a general inequality between probability generating processes and the corresponding empirical processes, which readily implies a rate of convergence and trivializes the problem of weak convergence: whenever the empirical process or its non-parametric bootstrap version, or the parametric estimated empirical process or its bootstrap version converges, so does the corresponding probability generating process. Derivatives of the generating process are also considered.

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Published Online: 2009-09-25
Published in Print: 2005-01-01

© R. Oldenbourg Verlag, München

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