Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (1): 71-79.

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Large Deviations for Random Sums on Some Kind of Heavy-tailed Classes in Risk Models

  

  1. Department of Mathematics, Anhui University, Hefei 230039, China
  • Received:2004-02-03 Online:2006-03-30 Published:2023-12-21
  • About author:KONG Fan-chao(1943-),make,native of Hefei,Anhui,a professor of Anhui University,engages in probability theory and its applications.
  • Supported by:
     Supported by the Natural Science Foundation of the Education Department of Anhui Province(0505101);

Abstract: This paper is a further investigation into the large deviations for random sums of heavy-tailed,we extended and improved some results in ref. [1] and [2]. These results can applied to some questions in Insurance and Finance.

Key words: renewal risk model, heavy-tailed distribution, large deviation, renewal counting
process

CLC Number: