Second order Subexponential Distributions with Finite Mean and Their Applications to Subordinated Distributions
- 数学科学－已发表论文 
Consider a probability distribution subordinate to a subexponential distribution with finite mean. In this paper, we discuss the second order tail behavior of the subordinated distribution within a rather general framework in which we do not require the existence of density functions. For this aim, the so-called second order subexponential distribution is proposed and some of its related properties are established. Our results unify and improve some classical results.
CitationJOURNAL OF THEORETICAL PROBABILITY。2012,25（3）：834-853