Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 2
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- Pages.363-370
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
An extension of the hong-park version of the chow-robbins theorem on sums of nonintegrable random variables
- Adler, Andre (Department of Mathematics Illinois Institute of Technology) ;
- Rosalsky, Andrew (Department of Statistics University of Florida)
- Published : 1995.05.01
Abstract
A famous result of Chow and Robbins [8] asserts that if ${X_n, n \geq 1}$ are independent and identically distributed (i.i.d.) random variables with $E
Keywords
- Real separable Banach space;
- pairwise independent and identically distributed random elements;
- weighted sums;
- nonintegrable random variables;
- almost certain limiting behavior;
- generalized St. Petersburg distribution.