WEKO3
アイテム
The Number of Consecutive Heads in a Run
https://it-hiroshima.repo.nii.ac.jp/records/1086
https://it-hiroshima.repo.nii.ac.jp/records/10867ebab1cb-e14c-4394-ac62-5c6966a0dcc1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
research53_177-179.pdf (533.8 kB)
|
|
| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-30 | |||||||||||
| タイトル | ||||||||||||
| タイトル | The Number of Consecutive Heads in a Run | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | coin tossing | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | run | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | consecutive heads | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | solitary head coin | |||||||||||
| キーワード | ||||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | dual problem | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| 著者 |
Hirose, Hideo
× Hirose, Hideo
× 廣瀬, 英雄
|
|||||||||||
| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | How many consecutive heads do we observe in a run of coin tossing of length n? Although the problem seems to be easy to answer, this would be actually a little bit tough when we try to prove it straightforwardly. The expected number of consecutive heads in a run is 3n-2/8 (n≧2) using the recursive formula.|However, if we define a solitary head coin such that a head coin is isolated by neighboring tail coin(s) in a run, the problem of how many solitary heads we observe in a run can be solved easily. The expected number of solitary heads in a run is n+2/8 (n≧2). Since the problem of solitary head coin becomes a dual problem of the above, the consequence of the problem of the consecutive heads is derived easily by considering the probability of a solitary coin appearance. | |||||||||||
| 書誌情報 |
広島工業大学紀要. 研究編 巻 53, p. 177-179, 発行日 2019-02 |
|||||||||||
| 出版者 | ||||||||||||
| 出版者 | 広島工業大学 | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 13469975 | |||||||||||
| 書誌レコードID | ||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AA11599110 | |||||||||||
| 権利 | ||||||||||||
| 権利情報 | publisher | |||||||||||
| フォーマット | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | application/pdf | |||||||||||
| 著者版フラグ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
