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Statistics

University of South Carolina

1982

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Some Comments On The Erdos-Renyl Law And A Theorem Of Shepp, James Lynch Jan 1982

Some Comments On The Erdos-Renyl Law And A Theorem Of Shepp, James Lynch

Faculty Publications

We show that the finiteness of the moment generating function is necessary for the finiteness of the lim sup of the moving averages considered by Shepp (1964). This also implies that the same must be true for the Erdos-Renyi law of large numbers.