EXTREMES OF MOVING AVERAGES OF RANDOM-VARIABLES FROM THE DOMAIN OF ATTRACTION OF THE DOUBLE EXPONENTIAL-DISTRIBUTION

被引:42
作者
DAVIS, R [1 ]
RESNICK, S [1 ]
机构
[1] CORNELL UNIV,SCH OPERAT RES & IND ENGN,ITHACA,NY 14853
关键词
D O I
10.1016/0304-4149(88)90075-0
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
收藏
页码:41 / 68
页数:28
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共 31 条
[1]   WEAK CONVERGENCE RESULTS FOR EXTREMAL PROCESSES GENERATED BY DEPENDENT RANDOM-VARIABLES [J].
ADLER, RJ .
ANNALS OF PROBABILITY, 1978, 6 (04) :660-667
[2]   VONMISES, R CONDITION FOR DOMAIN OF ATTRACTION OF EXP (-E-CHI) [J].
BALKEMA, AA ;
HAAN, LD .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (04) :1352-&
[3]  
Billingsley P., 1986, CONVERGENCE PROBABIL
[4]  
CHISTYAKOV V, 1986, THEORY PROBAB APPL, V9, P640
[5]   FUNCTIONS OF PROBABILITY MEASURES [J].
CHOVER, J ;
NEY, P ;
WAINGER, S .
JOURNAL D ANALYSE MATHEMATIQUE, 1973, 26 :255-302
[6]  
Cline D.B.H., 1983, THESIS COLORADO STAT
[7]   CONVOLUTIONS OF DISTRIBUTIONS WITH EXPONENTIAL AND SUBEXPONENTIAL TAILS [J].
CLINE, DBH .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1987, 43 :347-365
[8]  
CLINE DBH, 1986, PROBAB THEORY REL, V72, P529, DOI 10.1007/BF00344720
[9]   LIMIT THEORY FOR MOVING AVERAGES OF RANDOM-VARIABLES WITH REGULARLY VARYING TAIL PROBABILITIES [J].
DAVIS, R ;
RESNICK, S .
ANNALS OF PROBABILITY, 1985, 13 (01) :179-195
[10]   LIMIT THEORY FOR THE SAMPLE COVARIANCE AND CORRELATION-FUNCTIONS OF MOVING AVERAGES [J].
DAVIS, R ;
RESNICK, S .
ANNALS OF STATISTICS, 1986, 14 (02) :533-558