二元分佈族及其統計推論

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Title:	二元分佈族及其統計推論
Other Titles:	A family of bivariate distributions with some applications to statistical inferences
Authors:	邱全宏;Chiu, Chuan-hung
Contributors:	淡江大學管理科學研究所碩士班黃文濤;Huang, Wen-tao
Date:	2005
Issue Date:	2010-01-11 03:10:17 (UTC+8)
Abstract:	在第一章，我們提出了一個新的二元分佈族，並提供一些特殊之分佈，如二元指數、二元韋伯等，同時並與已知的二元分佈族做些比較。對於一些相關之統計性質，如期望值、變異數、故障函數等，及參數的估計也作了探討。並舉一實例，應用動差法，估算出其參數值。在第二章，對於S-N曲線的建立提供了另一種統計模式，並估計模型中的參數，同時考慮測量誤差的迴歸模型方法，以導出疲勞極限的分佈。在此分佈下，以迴歸分析法導出參數的估計。此外，亦提出一實際之實驗數據，以本文方法算出參數的估計值，並與已知的結果比較。最後，進行統計模擬研究。 In chapter 1, we have proposed a new family of bivariate distributions, and also some special distributions such as bivariate exponential, bivariate Weibull etc.. Some comparisons with known results are also made. A real data set is illustrated in which some parameters are estimated by moment method. In chapter 2, we consider an error-in-variables regression model for random fatigue-limit problem. Some estimates for the related parameters are also derived. A real data set is also illustrated by the proposed method and some comparisons are also made with known results. Some simulation study is also carried out.
Appears in Collections:	[Department of Management Sciences] Thesis

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