Large deviations for truncated heavy-tailed random variables: A boundary case

Indian Journal of Pure and Applied Mathematics - Tập 48 - Trang 671-703 - 2018
Arijit Chakrabarty1
1Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India

Tóm tắt

This paper investigates the decay rate of the probability that the row sum of a triangular array of truncated heavy tailed random variables is larger than an integer (k) times the truncating threshold, as both - the number of summands and the threshold go to infinity. The method of attack for this problem is significantly different from the one where k is not an integer, and requires much sharper estimates.

Tài liệu tham khảo

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