Integral representations for binomial sums of chances of winning
文献类型：期刊论文
| 作者 | Dong, Zhao1 ; Li, Wenbo V.2; Song, Chunwei3,4
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| 刊名 | ARS MATHEMATICA CONTEMPORANEA
 |
| 出版日期 | 2017 |
| 卷号 | 12期号:2页码:329-336 |
| 关键词 | Binomial sum integral representation probabilistic analysis unbalanced coin |
| ISSN号 | 1855-3966 |
| 英文摘要 | Addona, Wagon and Wilf (Ars Math. Contemp. 4 (1) (2011), 29-62) examined a problem about the winning chances in tossing unbalanced coins. Here we present some integral representations associated with such winning probabilities in a more general setting via using certain Fourier transform method. When our newly introduced parameters (r; d) are set to be (0; 1), one of our results reduces to the main formula in the above reference. |
| 资助项目 | NSFC[11271356] ; NSFC[11371041] ; NSFC[11431014] ; 973 Program[2013CB834201] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000401742500004 |
| 出版者 | UP FAMNIT |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25382]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Dong, Zhao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China 2.Univ Delaware, Dept Math Sci, Newark, DE 19716 USA 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Peking Univ, LMAM, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Zhao,Li, Wenbo V.,Song, Chunwei. Integral representations for binomial sums of chances of winning[J]. ARS MATHEMATICA CONTEMPORANEA,2017,12(2):329-336. |
| APA | Dong, Zhao,Li, Wenbo V.,&Song, Chunwei.(2017).Integral representations for binomial sums of chances of winning.ARS MATHEMATICA CONTEMPORANEA,12(2),329-336. |
| MLA | Dong, Zhao,et al."Integral representations for binomial sums of chances of winning".ARS MATHEMATICA CONTEMPORANEA 12.2(2017):329-336. |
入库方式： OAI收割
来源：数学与系统科学研究院
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