# A central limit theorem for independent summands with infinite variances

## Authors

Article

- Received:

DOI: 10.1007/BF03048130

- Cite this article as:
- Govindarajulu, Z. Proc. Indian Acad. Sci. (1973) 78: 89. doi:10.1007/BF03048130

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## Abstract

A central limit theorem for independent summands having variances tending to infinity at a certain rate is obtained. This result is extended to the cases where the sample size is random and where the random variables are vector-valued.

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© Indian Academy of Sciences 1973