Nonparametric estimation of a survival function under progressive Type-I multistage censoring☆

作者: M.D. Burke

DOI: 10.1016/J.JSPI.2010.08.009

关键词:

摘要: Failure time data subject to three progressive Type-I multistage censoring schemes are studied. Product limit estimators proposed for the estimation of survival function. It is shown that resulting asymptotically equivalent corresponding where a random iid right scheme. Many well-known results on confidence bands and tests randomly censored hold these schemes.

参考文章(14)
Vilijandas Bagdonavicius, Mikhail Nikulin, Accelerated Life Models: Modeling and Statistical Analysis ,(2001)
N. Balakrishnan, Rita Aggarwala, Progressive Censoring: Theory, Methods, and Applications ,(2000)
V. A. Statulevičius, I︠u︡. V. Prokhorov, Limit Theorems of Probability Theory ,(2000)
M Csörgö, P Revesz, None, Strong approximations in probability and statistics ,(1981)
Laurent Bordes, Non-parametric estimation under progressive censoring Journal of Statistical Planning and Inference. ,vol. 119, pp. 171- 189 ,(2004) , 10.1016/S0378-3758(02)00414-7
Sándor Csörgő, Lajos Horváth, Confidence bands from censored samples Canadian Journal of Statistics-revue Canadienne De Statistique. ,vol. 14, pp. 131- 144 ,(1986) , 10.2307/3314659
R. J. Williams, Kai Lai Chung, Introduction to stochastic integration ,(1983)
W. J. HALL, JON A. WELLNER, Confidence bands for a survival curve from censored data Biometrika. ,vol. 67, pp. 133- 143 ,(1980) , 10.1093/BIOMET/67.1.133
Patrick Billingsley, Probability and Measure ,(1979)