期刊論文
| 學年 | 95 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2006-09-15 |
| 作品名稱 | A combinatorial problem from sooner waiting time problems with run and frequency quotas |
| 作品名稱（其他語言） | |
| 著者 | Gao, Tangan; 吳孟年; Wu, Meng-nien |
| 單位 | 淡江大學數學學系 |
| 出版者 | Elsevier |
| 著錄名稱、卷期、頁數 | Journal of Mathematical Analysis and Applications 321(2), pp.949-960 |
| 摘要 | In this paper, we study the problem of finding the number of integer solutions solving View the MathML source Turn MathJax on for given f,r,w∈N with w⩾max(f,r). This problem is naturally from calculating exact distributions of some sooner waiting time random variables of run and frequency quotas in statistics. We present several solutions to the problem and develop an algorithm for the sooner waiting time problems. Numerical results are given to show the efficiency of our algorithm for calculating the exact distributions of the sooner waiting time random variable. |
| 關鍵字 | Combinatorial counting problem;Multinomial coefficients;Markov dependent trials;Waiting time random variables;Probability generating functions |
| 語言 | en_US |
| ISSN | 0022-247X 1096-0813 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41318 ) |