Nonparametric estimators of survival function under the mixed case interval-censored model with left truncation

Alioum A, Commenges D (1996) A proportional hazards model for arbitrarily censored and truncated data. Biometrics 52:512–524

Ayer M, Brunk HD, Ewing GM, Reid WT, Silverman E (1955) An empirical distribution function for sampling with incomplete observations. Ann Math Stat 26:641–7

Frydman H (1994) A note on nonparametric estimation of the distribution function from interval-censored and truncated data. J R Stat Soc Ser B 56:71–74

Groeneboom P, Wellner JA (1992) Information Bounds and Nonparametric Maximum Likelihood Estimation. Birkhäuser, Basel

Hudgens MG (2005) On nonparametric maximum likelihood estimation with interval censoring and truncation. J R Stat Soc Ser B 67(part 4):573–587

Pan W, Chappell R (1998a) Estimating survival curves with left-truncated and interval-censored data under monotone hazards. Biometrics 54:1053–1060

Pan W, Chappell R (1998b) A nonparametric estimator of survival functions for arbitrarily truncated and censored data. Estimating survival curves with left-truncated and interval-censored data under monotone hazards. Lifetime Data Anal 4:187–202

Pan W, Chappell R (1999) A note on inconsistency of NPMLE of the distribution function from left truncated and case I interval censored data. Lifetime Data Anal 5:281–291

Pan W, Chappell R, Kosorok MR (1998) On consistency of the monotone MLE of survival for left-truncated and interval-censored data. Stat Probab Lett 38:49–57

Peto R (1973) Experimental survival curves for interval-censored data. Appl Stat 22:86–91

Schick A, Yu Q (2000) Consistency of the GMLE with mixed case interval-censored data. Scand J Stat 27:45–55

Shen P-S (2015) A self-consistent estimator of survival function with interval-censored and left-truncated data. J Korean Stat Soc 44:211–220

Song S (2004) Estimation with univariate “mixed case” interval censored data. Stat Sinica 14:269–282

Turnbull BW (1976) The empirical distribution function with arbitrarily grouped censored and truncated data. J R Stat Soc Ser B 38:290–295

van der Geer S (1996) Hellinger-consistency of certain nonparametric maximum likelihood estimators. Ann Stat 21:14–44

Wang Z, Gardiner JC (1996) A class of estimators of the survival function from interval-censored data. Ann Stat 24:647–658

Yu Q, Schick A, Li L, Wong GYC (1998a) Asymptotic properties of the GMLE in the case 1 interval-censorship model with discrete inspection times. Can J Stat 26:619–627

Yu Q, Schick A, Li L, Wong GYC (1998b) Asymptotic properties of the GMLE with case 2 interval-censored data. Stat Probab Lett 37:223–228