Asymptotics for products of sums and U-statistics

Electronic Communications in Probability

Volumn 7, Issue , 2002, Pages 47-54

  Rempała, Grzegorz ^a   Wesołowski, Jacek ^b  

^a UNIVERSITY OF LOUISVILLE   (United States)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Central limit theorem; Lognormal distribution; Products of sums of iid rv s; Records; U statistics

Indexed keywords

EID: 0013538414     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v7-1046     Document Type: Article

References (4)

1. Arnold, B.C., Villaseñor, J.A. (1998) The asymptotic distribution of sums of records. Extremes1:3, 351-363.
2. Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Ann. Math. Statistics, 19:293-325.
3. Serfling, R. J. (1980). Approximation Theorems of Mathematical Statistics. John Wiley & Sons Inc., New York.
4. Resnick, S.I. (1973) Limit laws for record values. Stochastic Processes and Their Applications1, 67-82.