The law of the large numbers for U-statistics for 2m-wise independent random variables

Miguel A. Arcones

Statistics & Probability Letters, 1998, vol. 40, issue 1, 75-81

Abstract: The strong law of the large numbers for U-statistics has been proved for a sequence of independent random variables using martingale techniques. We see that the condition of independence can be relaxed to 2m-wise independence. In this case martingale techniques cannot be applied. We also consider Marcinkiewicz laws of large numbers for U-statistics for a special case.

Keywords: Strong; law; of; the; large; numbers; U-statistics; Marcinkiewicz; laws; of; large; numbers (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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