SiZer for length biased, censored density and hazard estimation

Journal of Statistical Planning and Inference

Volumn 121, Issue 1, 2004, Pages 149-161

  Marron, J S ^a   de Uña Álvarez, Jacobo ^b  

^a University of North Carolina at Chapel Hill   (United States)

^b UNIVERSITY OF VIGO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347653184     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00506-2     Document Type: Article

References (24)

1. Ahmad I.A. On multivariate kernel estimation for samples from weighted distributions Statist. Probab. Lett. 22 1995 121-129
2. Bhattacharyya B.B. Franklin L.A. Richardson G.D. A comparison of nonparametric unweighted and length-biased density estimation of fibres Commun. Statist. Ser. A 17 1988 3629-3644
3. Chaudhuri P. Marron J.S. SiZer for exploration of structure in curves J. Amer. Statist. Assoc. 94 1999 807-823
4. Chaudhuri P. Marron J.S. Scale view of curve estimation Ann. Statist. 28 2000 408-428
5. Cox D.R. Some sampling problems in technology. In: Johnson N.L. Smith H. (Eds.), New Developments in Survey Sampling 1969 506-527 Wiley New York
6. Cristóbal J.A. Alcalá J.T. Nonparametric regression estimators for length biased data J. Statist. Plann. Inference 89 2000 145-168
7. El Barmi H. Simonoff J.S. Transformation-based density estimation for weighted distributions J. Nonparametric Statist. 12 2000 861-878
8. Fan J. Marron J.S. Fast implementations of nonparametric curve estimators J. Comput. Graphical Statist. 3 1994 35-56
9. González-Manteiga W. Cao R. Marron J.S. Bootstrap selection of the smoothing parameter in nonparametric hazard rate estimation J. Amer. Statist. Assoc. 91 1996 1130-1140
10. Hess K.R. Serachitopol D.M. Brown B.W. Hazard function estimators: a simulation study Statist. Med. 18 1999 3075-3088
11. Horváth L. Estimation from a length-biased distribution Statist. Decisions 3 1985 91-113
12. Jiang, J.C., Doksum, K., 2000. On local polynomial estimation of hazard functions and their derivatives under random censoring, unpublished manuscript.
13. Jiang, J., Marron, J.S., 2000. SiZer for censored density and hazard estimation, unpublished manuscript.
14. Jones M.C. Kernel density estimation for length biased data Biometrika 78 1991 511-520
15. Kaplan E.L. Meier P. Nonparametric estimation from incomplete observations J. Amer. Statist. Assoc. 53 1958 457-481
16. Lo S.H. Mack Y.P. Wang J.L. Density and hazard rate estimation for censored data via strong representation of the Kaplan-Meier estimator Probab. Theory Related Fields 74 1989 461-473
17. Marron J.S. Padgett W.J. Asymptotically optimal bandwidth selection for kernel density estimators from randomly right censored samples Ann. Statist. 15 1987 1520-1535
18. Müller H.G. Wang J.L. Hazard rate estimation under random censoring with varying kernels and bandwidths Biometrics 50 1994 61-76
19. Patil P.N. On the least squares cross-validation bandwidth in hazard rate estimation Ann. Statist. 21 1993 1792-1810
20. Tanner M.A. Wong W.H. The estimation of the hazard function from randomly censored data by the kernel method Ann. Statist. 11 1983 989-993
21. de Uña-Álvarez J. Product-limit estimation for length-biased censored data Test 11 2002 109-125
22. Vardi Y. Nonparametric estimation in the presence of length bias Ann. Statist. 10 1982 616-620
23. Vardi Y. Empirical distributions in selection bias models, with discussion Ann. Statist. 13 1985 178-205
24. Woodroofe M. Estimating a distribution function with truncated data Ann. Statist. 13 1985 163-177