併發時間治癒模型之估計

Abstract

對於包含治癒情形的存活資料，本文章提出更一般的半參數併發時間治癒模型，不但具有對於癌症併發機制的生物意義，更同時包含比例風險模式與比例贏輸比模式。當中提出的指標係數的擬積分最小平方估計式具有一致性以及漸進常態性，計算面上更提供有效率的演算法。另外對於併發時間函數之估計，給出擬最小平方估計與動差估計兩種形式。對於提出的估計式，我們執行了豐富的數值模擬去檢驗其在有限樣本下的表現。

For survival data with a cure fraction, we propose a general semiparametric model which is derived from the biological process of cancer-relapse mechanism and includes both the mixture cure models and promotion time cure models as two special cases. The pseudo integrated least squares estimators (PILSEs) of index coefficients are shown to be consistent and asymptotically normal and an efficient computing algorithm is proposed to calculate the PILSEs of index coefficients and the moment-type estimators of promotion time function. Simulation studies are conducted to examine the finite-sample properties of the proposed estimators.