Maximum Likelihood Estimator of Proportional Odds Modelwith Right Censored Data Using Bernstein Polynomials
Autor: | Mao-Ting Liu, 劉懋婷 |
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Rok vydání: | 2013 |
Druh dokumentu: | 學位論文 ; thesis |
Popis: | 101 The thesis focused on adding covariates to the right censored data with Proportional Odds Model, refer to Pettiet(1982) and Bennett(1983a,b) for more detail. For survival analysis, the semi-parametric regression has been widely used to calculate the correlation of covariate Z and the failure time T, such as the proportional hazards model and proportional odds model. The proportional odds model was also taken by Wu (2012) to calculate the nonparametric estimators per Bernstein polynomials,Bayesian Methodology and Makov Chain Monte Carlo (M.C.M.C.). The model taken byWu is used for this thesis as well to get the nonparametric estimator by maximum likelihood estimation (M.L.E.) and M.C.M.C.. We proved the model workable with excellent results by simulations. |
Databáze: | Networked Digital Library of Theses & Dissertations |
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