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Study on the Model with Censored Data

Author: JiaoQingXia
Tutor: ShiNingZhong
School: Northeast Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: Correlated failure time data Proportional hazards Semiparametric efficiency Survial data
CLC: O211.67
Type: Master's thesis
Year: 2006
Downloads: 56
Quote: 0
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Abstract


In this article we study the semiparametic proportional odds model with random effects for correlated, specified-censored failure time data,specificallywhere Xij is d1-vector of covariate, β is a set of unknow regression parameters, bi is a set of unobserved random effect and follows a normal distribution with zero mean and covariance matrix I. is the survial function conditional on Xij and bi.First, we obtain some regulary conditons, which ensure that our model is feasible. Then our inference imply that the maximization can be realized via Newton-Raphson algorithms.Second, the article shows that our estimation is consistent and asymptotically normal and shows the limiting variance.At last, the merits and weaknesses of the model are discussed.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process > Expectations and Forecast
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