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The Law of Large Numbers for $U$-statistics Under Absolute Regularity

   
@article{ECP988,
	author = {Miguel Arcones},
	title = {The Law of Large Numbers for $U$-statistics Under Absolute Regularity},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {3},
	year = {1998},
	keywords = {Law of the large numbers,  U-statistics, absolute regularity.},
	abstract = {We prove the law of large numbers for $U$-statistics   whose underlying sequence of random variables satisfies an absolute regularity condition ($\beta$-mixing condition) under suboptimal conditions.},
	pages = {no. 2, 13-19},
	issn = {1083-589X},
	doi = {10.1214/ECP.v3-988},    
        url = {http://ecp.ejpecp.org/article/view/988}}