Comparing nonparametric estimators for length-biased data

Communications in Statistics - Theory and Methods

Volumn 35, Issue 5, 2006, Pages 905-919

  De Una Alvarez J ^a   Rodriguez Casal A ^a  

^a UNIVERSITY OF VIGO   (Spain)

Author keywords

Censoring; Length bias; Moment based estimator; Nonparametric maximum likelihood

Indexed keywords

DATA REDUCTION; FUNCTION EVALUATION; FUNCTIONS; MAXIMUM LIKELIHOOD ESTIMATION;

CENSORING; LENGTH-BIAS; MOMENT-BASED ESTIMATOR; NONPARAMETRIC MAXIMUM LIKELIHOOD;

PARAMETER ESTIMATION;

EID: 33646938806     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920500501452     Document Type: Article

References (8)

1. Asgharian, M., Wolfson, D. B. (2005). Asymptotic behavior of the NPMLE of the survivor function when the data are length-biased and subject to right censoring. Technical Report. McGill Univesity, Department of Mathematics and Statistics.
2. Asgharian, M., M'Lan, C. E., Wolfson, D. B. (2002). Length-biased sampling with right-censoring: an unconditional approach. J. Amer. Statist. Assoc. 97:201-209.
3. de Uña-Álvarez, J. (2004). Nonparametric estimation under length-biased sampling and Type I censoring: a moment based approach. Ann. Inst. Statist. Math. 56:667-681.
4. Vardi, Y. (1982). Nonparametric estimation in the presence of length bias. Ann. Statist. 10:616-620.
5. Vardi, Y. (1985). Empirical distributions in selection bias models (with discussion). Ann. Statist. 13:178-205.
6. Vardi, Y. (1989). Multiplicative censoring, renewal processes, deconvolution and decreasing density: nonparametric estimation. Biometrika 76:751-761.
7. Wang, M. C. (1989). A semiparametric model for randomly truncated data. J. Amer. Statist. Assoc. 84:742-748.
8. Wang, M. C. (1991). Nonparametric estimation from cross-sectional survival data. J. Amer. Statist. Assoc. 86:130-143.