A limit theorem for sums of i.i.d. random variables with slowly varying tail probability
نویسندگان
چکیده
منابع مشابه
A Local Limit Theorem for Sums of Dependent Random Variables
A version of central limit is established normalized sums dependent random when a theorem is and conditional are sufficiently The proof ideas from by representing density as integral of score function a translation of distributions. 1980 Subject 60F99.
متن کاملLimit Theorem for Sums of Random Products
We study asymptotic behavior of the sums ZN,m(β) determined by the formula ZN,m(β) = N
متن کاملLimit theorems for sums of random variables with mixture distribution
In this paper, we study the fluctuations of sums of random variables with distribution defined as a mixture of light-tail and truncated heavy-tail distributions. We focus on the case when both the mixing coefficient and the truncation level depend on the number of summands. The aim of this research is to characterize the limiting distributions of the sums due to various relations between these ...
متن کاملStrong Laws for Weighted Sums of Negative Dependent Random Variables
In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.
متن کاملA Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
Qunying Wu College of Science, Guilin University of Technology, Guilin 541004, China Correspondence should be addressed to Qunying Wu, [email protected] Received 11 March 2010; Revised 21 June 2010; Accepted 3 August 2010 Academic Editor: Soo Hak Sung Copyright q 2010 Qunying Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestric...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1986
ISSN: 2156-2261
DOI: 10.1215/kjm/1250520877