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On the Strong Law of Large Numbers for Weighted Sums of Negatively Superadditive Dependent Random Variables
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shen, Aiting |
| Copyright Year | 2016 |
| Abstract | Abstract. Let {X n ,n ≥ 1} be a sequence of negatively superadditivedependent random variables. In the paper, we study the strong law oflarge numbers for general weighted sums 1g(n) P ni=1X i h(i) of negatively su-peradditive dependent random variables with non-identical distribution.Some sufficient conditions for the strong law of large numbers are pro-vided. As applications, the Kolmogorov strong law of large numbers andMarcinkiewicz-Zygmund strong law of large numbers for negatively super-additive dependent random variables are obtained. Our results generalizethe corresponding ones for independent random variables and negativelyassociated random variables. 1. IntroductionAs is well known that the Kolmogorov strong law of large numbers andMarcinkiewicz-Zygmund strong law of large numbers play important roles inprobability limit theory and mathematical statistics, which have been studiedby many authors. It is more interesting to consider a general case. Let g(x) andh(x) be positive functions defined on (0,∞) such that g(x) is strictly increasingand lim |
| Starting Page | 45 |
| Ending Page | 55 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.4134/JKMS.2016.53.1.045 |
| Volume Number | 53 |
| Alternate Webpage(s) | http://ocean.kisti.re.kr/downfile/volume/kms/DBSHBB/2016/v53n1/DBSHBB_2016_v53n1_45.pdf |
| Alternate Webpage(s) | https://doi.org/10.4134/JKMS.2016.53.1.045 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
