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姓名 許祐領(Yu-Ling Hsu)  查詢紙本館藏   畢業系所 統計研究所
論文名稱 (一)零過多的個數資料之變異數函數的強韌推論 (二)影響糖尿病、高血壓短期發生的相關危險因子探討
(Robust Inference for variance function of zero-inflated count responses )
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摘要(中) (一)
零過多與過離散性質的個數資料常存在於實際的個數資料中,如調查人們一天中抽菸的數量,可能會出現很多抽菸數量為零的人。此種資料在分析上較困難,原因在不易找到適合的統計模型。
本文研究目的在不知道真正分配時,利用強韌常態模型配適零過多且具過離散性質的個數資料,並提供參數的正確概似函數。
(二)
國內本土流行病學調查研究顯示高血壓的盛行率與吃素與否並無相關,飲食習慣和糖尿病、高血壓等心血管疾病的危險因子也無相關發現,但素食者,飲食習慣與糖尿病,高血壓等心血管疾病危險因子的關係及日後可能造成的影響並無詳述,故引發本研究之動機,欲探討素食對心血管疾病有無影響。一般而言,糖尿病與跟高血壓發生率的研究不如其盛行率研究多,故糖尿病與高血壓的發生率亦為我們研究目的之一。
我們在文章中分別探討了中壢市平鎮地區(1)糖尿病與高血壓的盛行率;(2)一年內糖尿病與高血壓是否發生的潛在危險因子;(3)一年內糖尿病與高血壓的發生率;(4)兩年內糖尿病與高血壓的發生率,並探討對上述四點具有顯著影響的危險因子。
我們發現嚼檳榔習慣、喝酒習慣、活動量以及身體質量指數都是具有顯著影響的危險因子。
摘要(英) (一)
zero-inflated and over-dispersed count data are encountered
in many research areas. Such data are generally more difficult to analyze due to the scarcity of appropriate statistic models.
We demonstrate that the normal model can be easily modified to provide asymptotically legitimate likelihood inference about the parameters for in the variance function . Contrast is also made with models proposed in the literatures.
關鍵字(中) ★ 強韌概似函數
★ 零個數過多
★ 過離散
關鍵字(英) ★ robust likelihood function
★ zero-inflated
★ Over-dispersion.
論文目次 (一)
摘要 I
ABSTRACT II
致謝辭 III
目錄 IV
表目次 V
第一章 緒論 1
第二章 過離散和ZERO-INFLATED資料之模型介紹 3
2.1 模型介紹 3
2.1.1 zero-inflated卜瓦松模型 3
2.1.2 ZINB模型 4
2.1.3 ZIGP模型 5
2.2 ZINB模型與ZIGP模型性質比較 6
第三章 常態實作模型下的強韌性質 8
3.1 強韌概似函數 8
3.2 常態實作模型之修正項 11
3.2 ZIGP相關實作模型 20
第四章 模擬研究 25
4.1 資料生成及參數之推論 25
4.2 模擬結果分析 49
第五章 結論 50
參考文獻 51
(二)
摘要 I
目錄 II
表目錄 IV
第一章 緒論 1
第二章 研究方法 7
2.1 基本定義與模型介紹 7
2.2糖尿病及高血壓之盛行率 8
2.3糖尿病及高血壓之一年發生的相關潛在危險因子 11
2.4 糖尿病及高血壓之一年發生率 12
2.5 糖尿病及高血壓之兩年發生率 14
第三章 資料分析 15
3.1 糖尿病、高血壓盛行率 15
3.2 糖尿病、高血壓一年發生潛在危險因子 21
3.3 糖尿病、高血壓之一年發生率 26
3.4 糖尿病、高血壓之兩年發生率 33
第四章 結論 41
參考文獻 42
參考文獻 (一)
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指導教授 鄒宗山(Tsung-shan Tsou) 審核日期 2012-6-26
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