LIMIT-THEOREMS FOR A TRIANGULAR SCHEME OF U-STATISTICS WITH APPLICATIONS TO INTER-POINT DISTANCES

被引:56
作者
JAMMALAMADAKA, SR [1 ]
JANSON, S [1 ]
机构
[1] UNIV UPPSALA,DEPT MATH,S-75105 UPPSALA,SWEDEN
关键词
D O I
10.1214/aop/1176992375
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
引用
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页码:1347 / 1358
页数:12
相关论文
共 13 条
[1]   A POISSON LIMIT-THEOREM FOR INCOMPLETE SYMMETRIC STATISTICS [J].
BERMAN, M ;
EAGLESON, GK .
JOURNAL OF APPLIED PROBABILITY, 1983, 20 (01) :47-60
[2]   SUMS OF FUNCTIONS OF NEAREST NEIGHBOR DISTANCES, MOMENT BOUNDS, LIMIT-THEOREMS AND A GOODNESS OF FIT TEST [J].
BICKEL, PJ ;
BREIMAN, L .
ANNALS OF PROBABILITY, 1983, 11 (01) :185-214
[3]   SYMMETRIC STATISTICS, POISSON POINT-PROCESSES, AND MULTIPLE WIENER INTEGRALS [J].
DYNKIN, EB ;
MANDELBAUM, A .
ANNALS OF STATISTICS, 1983, 11 (03) :739-745
[4]   A CLASS OF STATISTICS WITH ASYMPTOTICALLY NORMAL DISTRIBUTION [J].
HOEFFDING, W .
ANNALS OF MATHEMATICAL STATISTICS, 1948, 19 (03) :293-325
[5]  
HOLST L, 1981, CANAD J STATIST, V9, P79, DOI DOI 10.2307/3315298
[6]  
JANSON S, 1983, UNPUB RANDOM COVERIN
[7]  
Loeve M., 1963, PROBABILITY THEORY
[8]  
ONOYAMA T, 1983, P NATO ASI STATISTIC, P549
[9]   SOME VARIANTS OF CHI-SQUARE FOR TESTING UNIFORMITY ON CIRCLE [J].
RAO, JS .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1972, 22 (01) :33-&
[10]   ASYMPTOTIC-DISTRIBUTION OF SYMMETRIC STATISTICS [J].
RUBIN, H ;
VITALE, RA .
ANNALS OF STATISTICS, 1980, 8 (01) :165-170