| dc.contributor.advisor | 姜志銘 | zh_TW |
| dc.contributor.author (作者) | 林其緯 | zh_TW |
| dc.contributor.author (作者) | Lin,Chi Wei | en_US |
| dc.creator (作者) | 林其緯 | zh_TW |
| dc.creator (作者) | Lin,Chi Wei | en_US |
| dc.date (日期) | 2009 | en_US |
| dc.date.accessioned | 8-十二月-2010 11:54:34 (UTC+8) | - |
| dc.date.available | 8-十二月-2010 11:54:34 (UTC+8) | - |
| dc.date.issued (上傳時間) | 8-十二月-2010 11:54:34 (UTC+8) | - |
| dc.identifier (其他 識別碼) | G0927510071 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/49462 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 92751007 | zh_TW |
| dc.description (描述) | 98 | zh_TW |
| dc.description.abstract (摘要) | 在許多科學領域裡所蒐集到的資料是具有方向性且落在單位球上，而在具有方向性且在單位球上的資料分配中，最重要也是最常使用的分配是3維的von Mises-Fisher分配。在過去有許多學者專家曾分析過具有3維von Mises-Fisher分配的資料，其中Nunez-Antonio和Gutierrez-Pena (2005)也曾利用全貝氏法來分析此種資料。本文首次嘗試利用半母數貝氏法來分析具有3維von Mises-Fisher分配的資料。除了介紹如何估計參數以及預測未來資料的機率密度函數外，本文也將檢定兩組分別服從不同3維von Mises-Fisher分配的資料其平均方向是否相同，並且提供選取先驗分配與其參數之建議。 | zh_TW |
| dc.description.tableofcontents | Abstract 1摘要 21.簡介 32.von Mises-Fisher分配 43.Dirichlet過程 54.vMF3分配使用Dirichlet過程 75.模擬樣本之估計和預測 116.兩組樣本之檢定 147.模擬樣本之檢定 168.結論 18參考書目 20A附錄 22 | zh_TW |
| dc.format.extent | 719531 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0927510071 | en_US |
| dc.subject (關鍵詞) | Dirichlet過程 | zh_TW |
| dc.subject (關鍵詞) | von Mises-Fisher分配 | zh_TW |
| dc.subject (關鍵詞) | 半母數貝氏分析法 | zh_TW |
| dc.title (題名) | von Mises-Fisher分配資料的半母數貝氏分析法 | zh_TW |
| dc.title (題名) | Semi-parametric Bayesian analysis on von Mises-Fisher distribution data | en_US |
| dc.type (資料類型) | thesis | en |
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| dc.relation.reference (參考文獻) | 9. Jammalamadaka, S. R.,and SenGupta, A. (2001). Topics in Circular Statistics, Singapore: World Scientific. | zh_TW |
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| dc.relation.reference (參考文獻) | 12. Nunez-Antonio, G. and Gutierrez-Pena, E. (2005). A Bayesian Analysis of Directional Data Using the von Mises-Fisher Distribution, Communications in Statistics-Simulation and Computation, 34, 989-999. | zh_TW |
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