Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151915 | Statistics & Probability Letters | 2013 | 7 Pages |
Abstract
Karamata’s theorem is well known, which examines the integral properties of regular variation functions. In this paper, we obtain the second-order version of Karamata’s theorem, and give its one application in characterizing the second-order regular variation property of a survival function in terms of conditional moments.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Xiaoqing Pan, Xuan Leng, Taizhong Hu,