政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/88738

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113318/144297 (79%)
Visitors : 51064277 Online Users : 928

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Scope

please add "double quotation mark" for query phrases to get precise results

please goto advance search for comprehansive author search

Adv. Search

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

Goto mobile version

政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/88738

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/88738

Title:	從貝氏觀點診斷離群值及具有影響力之觀察值 Some diagnostics for outliers and influential observations from Bayesian point of view
Authors:	謝季英 Shieh, Jih Ing
Contributors:	宋傳欽 Song, Chwan Chin 謝季英 Shieh, Jih Ing
Keywords:	貝氏離群值影響力之觀測值不正當均數移動對稱均方差 Bayesian outliers influential observations spurious mean- shift symmetric mean square difference
Date:	1994
Issue Date:	2016-04-29 16:32:25 (UTC+8)
Abstract:	在線性迴歸分析中，資料的不適當，常導致研究者選擇了不當的模式，為避免此缺失，在分析資料前須先做好診斷工作。本文中將從貝氏觀點提出一些不同的診斷方法以供參考。首先推導出均數移動參數a=(a<sub>1</sub>,…,a<sub>k</sub>)`的事後分配，並利用a`a/k的事後均數診斷出不當資料點。接著，考慮在個別模式下以β事後分配之總變異及廣義變異為標準，診斷出離群值及具有潛在影響力之觀測值。最後，分別利用(i)β的事後分配(ii)σ<sup>2</sup>的事後分配(iii)(β,σ<sup>2</sup>)的聯合事後分配，推導出對應的對稱均方差以做為診斷標準。　　In this thesis, some different diagnostic methodologies for outliers and influential observations from Bayesian point of view are proposed. We firstly derive the marginal posterior distribution of the mean-shift parameter a=(a<sub>1</sub>,a<sub>k</sub>)<sup>1</sup>, then use the posterior mean of a<sup>1</sup>a/k to detect the spurious data items. Secondly, we use the posterior total variance and generalized variance of β as diagnostic criterions for outliers and influential observations. Finally, we utilize (i) the posterior distribution of β, (ii) the posterior distribution of σ<sup>2</sup>, and (iii) the joint posterior distribution of β, σ<sup>2</sup> to find their corresponding symmetric mean square differences , which can be used as diagnostic criterions.
Description:	碩士國立政治大學應用數學系 81155009
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002003906
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

Files in This Item:

File	Size	Format
index.html	0Kb	HTML2	248	View/Open

All items in 政大典藏 are protected by copyright, with all rights reserved.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

DSpace Software Copyright © 2002-2004 MIT & Hewlett-Packard / Enhanced by NTU Library IR team Copyright © - Feedback