KMS Of Academy of mathematics and systems sciences, CAS
| A limit theorem for partial sums of random variables and its applications | |
| Liu, W; Yan, JA; Yang, WG | |
| 2003-03-15 | |
| Source Publication | STATISTICS & PROBABILITY LETTERS
 |
| ISSN | 0167-7152 |
| Volume | 62Issue:1Pages:79-86 |
| Abstract | In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries, we generalize the extended Borel-Cantelli lemma, and obtain some strong laws of large numbers for Markov chains as well as a generalized strong ergodic theorem for irreducible and Positive recurrent Markov chains. (C) 2003 Elsevier Science B.V. All rights reserved. |
| Keyword | extended Borel-Cantelli lemma strong laws of large numbers |
| DOI | 10.1016/S0167-7152(02)00428-5 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Statistics & Probability |
| WOS ID | WOS:000181571900009 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/18221 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Hebei Univ Technol, Dept Math, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China |
| Recommended Citation GB/T 7714 | Liu, W,Yan, JA,Yang, WG. A limit theorem for partial sums of random variables and its applications[J]. STATISTICS & PROBABILITY LETTERS,2003,62(1):79-86. |
| APA | Liu, W,Yan, JA,&Yang, WG.(2003).A limit theorem for partial sums of random variables and its applications.STATISTICS & PROBABILITY LETTERS,62(1),79-86. |
| MLA | Liu, W,et al."A limit theorem for partial sums of random variables and its applications".STATISTICS & PROBABILITY LETTERS 62.1(2003):79-86. |
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