References
- Abdushukurov A. A. (1984) On some estimates of the distribution function under random censorship Conference of Young Scientists. Math. Inst. Acad. Sci. Uzbek SSR, Tashkent VINITI no. 8756-V (In Russian)
- Antoniadis , A. , Grégoire , G. and Nason , G. (1999) . Density and hazard rate estimation for right-censored data by using wavelet methods . J. R. Stat. Soc. Ser. B Stat. Methodol. , 61 : 63 – 84 .
- Cheng , P. E. and Lin , G. D. (1987) . Maximum likelihood estimation of survival function under the Koziol–Green proportional hazards model . Statist. Probab. Lett. , 5 : 75 – 80 .
- Csörgő S. (1989) Testing for the proportional hazards model for random censorship In: Mandl, P. and Hu[sbreve]ková, M. (Eds.) Proceedings of the Fourth Prague Symposium on Asymptotic Statistics, 1988 Union Czech Mathem. Physic. Prague
- Csörgő , S. and Faraway , J. J. (1998) . The paradoxical nature of the proportional hazards model of random censorship . Statistics , 31 : 67 – 78 .
- Daubechies I. (1992) Ten Lectures on Wavelets. SIAM Philadelphia
- de Uña-Álvarez J. (1998) Inferencia Estadística en Modelos de Censura Proporcional PhD thesis University of Santiago de Compostela.
- de Uña-Álvarez , J. and González-Manteiga , W. (1998) . Distributional convergence under proportional censorship when covariables are present . Statist. Probab. Lett. , 42 : 283 – 292 .
- de Uña-Álvarez , J. and González-Manteiga , W. (1999) . Strong consistency under proportional censorship when covariables are present . Statist. Probab. Lett. , 39 : 305 – 315 .
- de Uña-Álvarez J. González-Manteiga W. Cadarso-Suárez C. (1997) Bootstrap selection of the smoothing parameter in density estimation under the Koziol–Green model In: L1-Statistical Procedures and Related Topics (Neuchâtel, 1997) 31 IMS Lecture Notes Monogr. Ser. Inst. Math. Statist. Hayward CA pp. 385–398
- Dikta , G. (1995) . Asymptotic normality under the Koziol–Green model . Communications in Statistics–Theory and Methods , 24 ( 6 ) : 1537 – 1549 .
- Donoho , D. L. and Johnstone , I. M. (1994) . Ideal spatial adaptation by wavelet shrinkage . Biometrika , 81 ( 3 ) : 425 – 455 .
- Donoho , D. L. and Johnstone , I. M. (1995) . Adapting to unknown smoothness via wavelet shrinkage . JASA , 90 : 1200 – 1224 .
- Donoho , D. L. , Johnstone , I. M. , Kerkyacharian , G. and Picard , D. (1995) . Wavelet shrinkage: asymptopia (with discussion) . J. Roy. Statist. Soc. Ser. B , 57 : 301 – 369 .
- Donoho , D. L. , Johnstone , I. M. , Kerkyacharian , G. and Picard , D. (1996) . Density estimation by wavelet thresholding . Ann. Statist. , 23 : 508 – 539 .
- Hall , P. and Patil , P. (1995) . Formulae for mean integrated squared error of nonlinear wavelet-based density estimators . Ann. Statist. , 23 : 905 – 928 .
- Hall , P. and Patil , P. (1996) . On the choice of smoothing parameter, threshold and truncation in nonparametric regression by non linear wavelet methods . J. Roy. Statist. Soc. Ser. B , 58 ( 2 ) : 361 – 377 .
- Henze , N. (1993) . A quick omnibus test for the proportional hazards model of random censorship . Statistics , 24 : 253 – 263 .
- Herbst , T. (1993) . Estimation of residual moments under Koziol–Green model for random censorship . Communications in Statistics –Theory and Methods , 22 : 2403 – 2419 .
- Kaplan , E. and Meier , P. (1958) . Nonparametric estimation from incomplete observations . JASA , 53 : 457 – 481 .
- Kerkyacharian , G. and Picard , D. (1992) . Density estimation in Besov spaces . Statist. Probab. Lett. , 13 : 15 – 24 .
- Kerkyacharian , G. and Picard , D. (1993) . Density estimation by kernel and wavelets methods: optimality of Besov spaces . Statist. Probab. Lett. , 18 ( 4 ) : 327 – 336 .
- Krall , J. M. , Uthoff , V. A. and Harley , J. B. (1975) . A step-up procedure for selecting variables associated with survival . Biometrics , 31 : 49 – 57 .
- Li L. (2002) Nonlinear wavelet-based density estimators under random censorship J. Statistical Planning and Inference (to appear)
- Rodríguez-Casal A. de Uña Álvarez J. (2002) Nonlinear Wavelet Density Estimation Under the Koziol–Green Model Technical Report 02-01 Department of Statistics and Operation Research, University of Santiago de Compostela
- Serfling R. J. (1980) Approximation Theorems of Mathematical Statistics. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, Inc.,
- Shorack G. R. (2000) Probability for Statisticians Springer Texts in Statistics Springer-Verlag New York
- Stute , W. (1992) . Strong consistency under the Koziol–Green model . Statist. Probab. Lett. , 14 : 313 – 220 .