| Title | Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process |
| Author | |
| Corresponding Author | Fan, Xiequan |
| Publication Years | 2023-04-01
|
| DOI | |
| Source Title | |
| ISSN | 0021-9002
|
| EISSN | 1475-6072
|
| Abstract | Let (Z(n))_{(n=0) be a supercritical Galton-Watson process. Consider the Lotka-Nagaev estimator for the offspring mean. In this paper we establish self-normalized Cramer-type moderate deviations and Berry-Esseen bounds for the Lotka-Nagaev estimator. The results are believed to be optimal or near-optimal. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| Funding Project | National Nature Science Foundation of China NSFC["12031005","11971063"]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Statistics & Probability
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| WOS Accession No | WOS:000977450700001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/583129 |
| Department | Department of Statistics and Data Science |
| Affiliation | 1.Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China 2.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Dept Stat & Data Sci, SICM, Shenzhen 518055, Guangdong, Peoples R China |
| Recommended Citation GB/T 7714 |
Fan, Xiequan,Shao, Qi-Man. Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process[J]. JOURNAL OF APPLIED PROBABILITY,2023.
|
| APA |
Fan, Xiequan,&Shao, Qi-Man.(2023).Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process.JOURNAL OF APPLIED PROBABILITY.
|
| MLA |
Fan, Xiequan,et al."Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process".JOURNAL OF APPLIED PROBABILITY (2023).
|
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