Simplified bounds on the tails of compound distributions

被引:12
作者
Willmot, GE [1 ]
Lin, XD [1 ]
机构
[1] UNIV TORONTO,DEPT STAT,TORONTO,ON M5S 1A1,CANADA
关键词
failure rate; Lundberg inequality; Ruin probability;
D O I
10.2307/3215181
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Upper and lower bounds are derived for the tail probabilities of compound distributions using simple properties of the claim size distribution. General bounds are then obtained for various classes of claim size distributions. Some examples are given.
引用
收藏
页码:127 / 133
页数:7
相关论文
共 4 条
[1]  
BARLOW RE, 1975, STATISTICAL THEORY R
[2]   Tail of compound distributions and excess time [J].
Lin, XD .
JOURNAL OF APPLIED PROBABILITY, 1996, 33 (01) :184-195
[3]   REFINEMENTS AND DISTRIBUTIONAL GENERALIZATIONS OF LUNDBERGS INEQUALITY [J].
WILLMOT, GE .
INSURANCE MATHEMATICS & ECONOMICS, 1994, 15 (01) :49-63
[4]   LUNDBERG BOUNDS ON THE TAILS OF COMPOUND DISTRIBUTIONS [J].
WILLMOT, GE ;
LIN, XD .
JOURNAL OF APPLIED PROBABILITY, 1994, 31 (03) :743-756