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Doubly Uniform Complete Law of Large Numbers for Independent Point Processes
http://hdl.handle.net/2261/00077198
http://hdl.handle.net/2261/0007719826d6ec4d-dc4e-4575-9159-22aed175fc0a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms250204.pdf (213.5 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2019-07-01 | |||||
| タイトル | ||||||
| タイトル | Doubly Uniform Complete Law of Large Numbers for Independent Point Processes | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Law of large numbers | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | complete convergence | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | counting process | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | sum of independent random processes | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Hattori, Tetsuya
× Hattori, Tetsuya |
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| 著者所属 | ||||||
| 著者所属 | Laboratory of Mathematics, Faculty of Economics, Keio University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We prove a law of large numbers in terms of uniform complete convergence of independent random variables taking values in functions of $2$ parameters which share similar monotonicity properties as the increments of monotone functions in the initial and the final time parameters. The assumptions for the main result are the H\"older continuity on the expectations as well as moment conditions, while the sample functions may contain jumps. | |||||
| 書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 25, 号 2, p. 171-192, 発行日 2018-06-29 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| Mathmatical Subject Classification | ||||||
| 60F15(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 60G55(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 60G50(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2018-03-08 | ||||||
