| DC 欄位 |
值 |
語言 |
| DC.contributor | 統計研究所 | zh_TW |
| DC.creator | 李念純 | zh_TW |
| DC.creator | Nien-chun Li | en_US |
| dc.date.accessioned | 2011-7-1T07:39:07Z | |
| dc.date.available | 2011-7-1T07:39:07Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=982205014 | |
| dc.contributor.department | 統計研究所 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 分析資料的統計方法有兩類：一種是無母數方法，另一種是有母數方法。雖然資料用無母數方法分析可以不假設任何特定的母體分布，但正確的使用有母數方法可以獲取較多的資訊。為能正確使用有母數方法，就必須根據資料建立分布的適合度檢定。本文分別在完整或右設限的一維度資料之下修正Kolmogorov和Cramer-von Mises統計式，在成對資料之下推廣修正Kolmogorov和Chi-square統計式進行資料分布的適合度檢定，此處的一維度資料考慮配適廣義伽瑪分布，成對資料則針對關聯結構函數做適合度檢定。本文以模擬的方法研究所提出適合度檢定的型I誤差率及檢定力的表現，最後以實例說明所提出檢定方法之應用。
| zh_TW |
| dc.description.abstract | There are two kinds of statistical methods for analyzing data: one is the nonparametric analysis and the other is the parametric analysis. We do not need to assume any particular form for the population distribution when we use a nonparametric method, however, correctly using a parametric method would produce more information on data analysis. To do so, we need to test the goodness-of-fit of a particular distribution based on the available data. In this paper, we construct goodness-of-fit tests for univariate and bivariate observations, respectively, with completely observed or right-censored data. Modifications of the Kolmogorov and Cramer-von Mises tests are proposed for testing the goodness-of-fit of the generalized gamma distribution for univariate data. Extensions of the Kolmogorov and Chi-square tests to testing the goodness-of-fit of a Copula function for bivariate data are then suggested. The results of a simulation study are presented for the investigation of type I error rates and powers of the proposed tests. Finally, the application of the tests is illustrated by using a real data set.
| en_US |
| DC.subject | 適合度檢定 | zh_TW |
| DC.subject | 右設限 | zh_TW |
| DC.subject | Kolmogorov | zh_TW |
| DC.subject | Cramer-von Mises | zh_TW |
| DC.subject | 關聯結構函數 | zh_TW |
| DC.subject | Chi-square | zh_TW |
| DC.subject | goodness-of-fit test | en_US |
| DC.subject | Chi-square | en_US |
| DC.subject | right-censored | en_US |
| DC.subject | Kolmogorov | en_US |
| DC.subject | Cramer-von Mises | en_US |
| DC.subject | copula function | en_US |
| DC.title | 一維及二維右設限存活資料的適合度檢定 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Goodness-of-fit tests for univariate and bivariate right censored survival data | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |