Proceedings of the Indian Academy of Sciences - Section A

, Volume 78, Issue 3, pp 89–99

A central limit theorem for independent summands with infinite variances

Authors

  • Z. Govindarajulu
    • University of Kentucky
Article

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