| dc.contributor | 應數系 | - |
| dc.creator (作者) | 姜志銘 | zh-tw |
| dc.creator (作者) | Jiang, Thomas J. | en-US |
| dc.creator (作者) | Kuo, Kun-Lin | en_US |
| dc.date (日期) | 2017 | - |
| dc.date.accessioned | 12-Jul-2017 15:13:34 (UTC+8) | - |
| dc.date.available | 12-Jul-2017 15:13:34 (UTC+8) | - |
| dc.date.issued (上傳時間) | 12-Jul-2017 15:13:34 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/111017 | - |
| dc.description.abstract (摘要) | Provost and Cheong show the importance of the distribution of linear combinations of components of a Dirichlet random vector to quadratic forms and their ratios in statistics, which can be applied in a variety of contexts. The c-characteristic function has been shown to be very useful and more practical in some distributions that are hard to manage with the traditional characteristic functions. In particular, the distribution of linear combinations of components of a Dirichlet random vector has a very simple c-characteristic function expression. We first provide its inversion formula which is practical in determining the distribution function of a random variable when its c-characteristic function is known. We then use this inversion formula to find an expression of probability density function of linear combinations of components of any Dirichlet vector. This would generalize the results given by Provost and Cheong. | - |
| dc.format.extent | 128 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Communications in Statistics - Theory and Methods, Volume 47, Issue 3, Pages 509-520 | - |
| dc.subject (關鍵詞) | c-characteristic function; Dirichlet distribution; inversion formula | - |
| dc.title (題名) | A revisit of the distribution of linear combinations of Dirichlet components | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1080/03610926.2017.1307402 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1080/03610926.2017.1307402 | - |
