A LIMIT THEOREM FOR THE MAXIMUM OF NORMALIZED SUMS OF INDEPENDENT RANDOM VARIABLES

被引:142
作者
DARLING, DA
ERDOS, P
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D O I
10.1215/S0012-7094-56-02313-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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页码:143 / 155
页数:13
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共 8 条
[1]   The accuracy of the Gaussian approximation to the sum of independent variates [J].
Berry, Andrew C. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1941, 49 (1-3) :122-136
[2]   THE 1ST PASSAGE PROBLEM FOR A CONTINUOUS MARKOV PROCESS [J].
DARLING, DA ;
SIEGERT, AJF .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (04) :624-639
[3]   ON CERTAIN LIMIT THEOREMS OF THE THEORY OF PROBABILITY [J].
ERDOS, P ;
KAC, M .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (04) :292-302
[4]  
Esseen C. -G., 1945, ACTA MATH, V77, P1
[5]   The general form of the so-called law of the iterated logarithm [J].
Feller, W. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1943, 54 (1-3) :373-402
[6]  
Levy P., 1953, U CALIF PUBL STAT, V1, P331
[7]   SOME ASPECTS OF THE SEQUENTIAL DESIGN OF EXPERIMENTS [J].
ROBBINS, H .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (05) :527-535
[8]  
Whittaker E.E., 1927, MODERN ANAL, V4