Iterated limits and the central limit theorem for dependent variables
Author:
George Marsaglia
Journal:
Proc. Amer. Math. Soc. 5 (1954), 987991
MSC:
Primary 60.0X
MathSciNet review:
0065845
Fulltext PDF Free Access
References 
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Additional Information
 [1]
H. Cramér, Mathematical methods of statistics, Princeton, 1946.
 [2]
P.
H. Diananda, Some probability limit theorems with statistical
applications, Proc. Cambridge Philos. Soc. 49 (1953),
239–246. MR 0053423
(14,771f)
 [3]
Wassily
Hoeffding and Herbert
Robbins, The central limit theorem for dependent random
variables, Duke Math. J. 15 (1948), 773–780. MR 0026771
(10,200e)
 [4]
J. U. Uspensky, Introduction to mathematical probability, McGrawHill, 1937.
 [1]
 H. Cramér, Mathematical methods of statistics, Princeton, 1946.
 [2]
 P. H. Diananda, Some probability limit theorems with statistical applications, Proc. Cambridge Philos. Soc. (1953) pp. 239246. MR 0053423 (14:771f)
 [3]
 W. Hoeffding and H. E. Robbins, The central limit theorem for dependent random variables, Duke Math. J. (1948) pp. 773780. MR 0026771 (10:200e)
 [4]
 J. U. Uspensky, Introduction to mathematical probability, McGrawHill, 1937.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939195400658450
PII:
S 00029939(1954)00658450
Article copyright:
© Copyright 1954 American Mathematical Society
