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Title: von Mises-Fisher分配資料的半母數貝氏分析法
Semi-parametric Bayesian analysis on von Mises-Fisher distribution data
Authors: 林其緯
Lin,Chi Wei
Contributors: 姜志銘
Lin,Chi Wei
Keywords: Dirichlet過程
von Mises-Fisher分配
Date: 2009
Issue Date: 2010-12-08 11:54:34 (UTC+8)
Abstract: 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。
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Description: 碩士
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Data Type: thesis
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