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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 11, Fasc. 2,
pages 247 - 252
 

CONDITIONED FUNCTIONAL CENTRAL LIMIT THEOREM FOR RANDOM PARTIAL SUMS

K. Topolski

Abstract: Generalization of a conditioned functional central limit theorem of Szubarga and Szynal [6] is proved. It is shown that on a natural condition for random index randomly selected partial sums of independent, identically distributed random variables with zero mean and finite variance, suitably scaled, normed and conditioned to stay positive converge to the Brownian meander process.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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