Iterated limits and the central limit theorem for dependent variables

Author:
George Marsaglia

Journal:
Proc. Amer. Math. Soc. **5** (1954), 987-991

MSC:
Primary 60.0X

DOI:
https://doi.org/10.1090/S0002-9939-1954-0065845-0

MathSciNet review:
0065845

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References | Similar Articles | 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. (1953) pp. 239-246. MR**0053423 (14:771f)****[3]**W. Hoeffding and H. E. Robbins,*The central limit theorem for dependent random variables*, Duke Math. J. (1948) pp. 773-780. MR**0026771 (10:200e)****[4]**J. U. Uspensky,*Introduction to mathematical probability*, McGraw-Hill, 1937.

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0065845-0

Article copyright:
© Copyright 1954
American Mathematical Society