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題 名 | Bias Correction for Censored Data with Exponential Lifetimes |
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作 者 | Pettitt,A. N.; Kelly,J. M.; Gao,J. T.; | 書刊名 | Statistica Sinica |
卷 期 | 8:3 1998.07[民87.07] |
頁 次 | 頁941-963 |
分類號 | 319.51 |
關鍵詞 | 指數; 迴歸; Bias reduction; Censored data; Exponential model; Failure data; Penalised likelihood; Regression model; Type I censoring; |
語 文 | 英文(English) |
英文摘要 | The analysis of censored data presents several problems including infinite maximum likelihood estimates and biased estimates. In this paper we consider modifying the score equation for the maximum likelihood estimate so that the bias is reduced, following Firth (1993). This method is considered for the case of right censored failure time data having an exponential distribution and the means of the observations are given by a log-linear model. For some situations the modified score equations can be integrated and the method is equivalent to a penalized maximum likelihood approach. We additionally show that the estimates are finite under weak conditions. A small sample study indicates that the modified estimates have good properties and have mean square error behaving like 1/n. |
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