References
- Nelder , J. A. and Wedderburn , R. W.M. 1972 . Generalized linear models . J. R. Stat. Soc. A , 135 : 370 – 384 . (doi:10.2307/2344614)
- McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models , 2 , London : Chapman & Hall .
- Wedderburn , R. W.M. 1974 . Quasi-likelihood functions, generalized linear models, and the Gauss–Newton method . Biometrika , 61 : 439 – 447 .
- Fan , J. , Heckman , N. E. and Wand , M. P. 1995 . Local polynomial kernel regression for generalized linear models and quasilikelihood functions . J. Amer. Statist. Assoc , 90 : 141 – 150 . (doi:10.1080/01621459.1995.10476496)
- Carroll , R. J. , Fan , J. , Gijbels , I. and Wand , M. P. 1997 . Generalized partially linear singleindex models . J. Amer. Statist. Assoc , 92 : 477 – 489 . (doi:10.1080/01621459.1997.10474001)
- Fan , J. and Chen , J. 1999 . One-step local local quasi-likelihood estimation . J. R. Stat. Soc. Ser. B , 61 : 927 – 943 . (doi:10.1111/1467-9868.00211)
- Wang , C. Y. , Wang , S. , Gutierrez , R. G. and Carroll , R. J. 1998 . Local linear regression for generalized linear models with missing data . Ann. Statist , 26 : 1028 – 1050 . (doi:10.1214/aos/1024691087)
- Chen , J. , Fan , J. , Li , K. H. and Zhou , H. 2006 . Local quasi-likelihood estimation with data missing at random . Statist. Sinica , 16 : 1071 – 1100 .
- Breslow , N. and Crowley , J. 1974 . A large sample study of the life table and product-limit estimates under random censorship . Ann. Statist , 2 : 437 – 453 . (doi:10.1214/aos/1176342705)
- Woodroofe , M. 1985 . Estimating a distribution function with truncated data . Ann. Statist , 13 : 163 – 177 . (doi:10.1214/aos/1176346584)
- Feigelson , E. D. and Babu , G. J. 1992 . “ Statistical Challenges in Modern Astronomy ” . Berlin Heidelberg, New York : Springer .
- Wang , M. C. , Jemell , N. P. and Tsai , W. Y. 1986 . Asymptotic properties of the product-limit estimate under random truncation . Ann. Statist , 14 : 1597 – 1605 . (doi:10.1214/aos/1176350180)
- Tsai , W. Y. , Jewell , N. P. and Wang , M. C. 1987 . A note on the product-limit estimator under right censoring and left truncation . Biometrika , 74 : 883 – 886 . (doi:10.1093/biomet/74.4.883)
- He , S. and Yang , G. 1994 . “ Estimating a lifetime distribution under different sampling plan ” . In Statistical Decision Theory and Related Topics 5 , Edited by: Gupta , S. S. and Berger , J. O. 73 – 85 . Berlin Heidelberg, New York : Springer .
- He , S. and Yang , G. 1998 . Estimation of the truncation probability in the random truncation model . Ann. Statist , 26 : 1011 – 1027 . (doi:10.1214/aos/1024691086)
- Ould-Saïd , E. and Lemdani , M. 2006 . Asymptotic properties of a nonparametric regression function estimator with randomly truncated data . Ann. Inst. Statist. Math , 58 : 357 – 378 . (doi:10.1007/s10463-005-0011-y)
- Stute , W. and Wang , J. L. 2008 . The central limit theorem under random truncation . Bernoulli , 14 ( 3 ) : 604 – 622 . (doi:10.3150/07-BEJ116)
- Kang , S. S. and Koehler , K. J. 1997 . Modification of the Greenwood formula for correlated response times . Biometrics , 53 : 885 – 899 . (doi:10.2307/2533550)
- Cai , T. , Wei , L. J. and Wilcox , M. 2000 . Semiparametric regression analysis for clustered survival data . Biometrika , 87 : 867 – 878 . (doi:10.1093/biomet/87.4.867)
- Choi , H. , Lee , Y. K. , Park , B. U. and Yu , K. S. 2006 . Local polynomial quasi-likelihood regression on random fields . Aust. N. Z. J. Stat , 48 : 491 – 506 . (doi:10.1111/j.1467-842X.2006.00455.x)
- Liang , H. Y. , Li , D. and Qi , Y. 2009 . Strong convergence in nonparametric regression with truncated dependent data . J. Multivariate Anal , 100 : 162 – 174 . (doi:10.1016/j.jmva.2008.04.002)
- Liang , H. Y. , de Uña-Álvarez , J. and Iglesias-Pérez , M. C. 2011 . Local polynomial estimation of a conditional mean function with dependent truncated data . Test , 20 : 653 – 677 . (doi:10.1007/s11749-011-0234-6)
- Gorodetskii , V. V. 1977 . On the strong mixing property for linear sequences . Theory Probab. Appl , 22 : 411 – 413 . (doi:10.1137/1122049)
- Withers , C. S. 1981 . Conditions for linear processes to be strong mixing . Z. Wahrsch. verw. Gebiete , 57 : 477 – 480 . (doi:10.1007/BF01025869)
- Doukhan , P. 1994 . “ Mixing: Properties and Examples ” . In Lecture Notes in Statistics Vol. 85 , Berlin : Springer .
- Lynden-Bell , D. 1971 . A method of allowing for known observational selection in small samples applied to 3CR quasars . Monthly Not. R. Astron. Soc , 155 : 95 – 118 .
- Masry , E. 2005 . Nonparametric regression estimation for dependent functional data: Asymptotic normality . Stochastic Process. Appl , 115 : 155 – 177 . (doi:10.1016/j.spa.2004.07.006)
- Zhou , Y. and Liang , H. 2000 . Asymptotic normality for L1 norm kernel estimator of conditional median under α-mixing dependence . J. Multivariate Anal , 73 : 136 – 154 . (doi:10.1006/jmva.1999.1876)
- Fan , J. and Gijbels , I. 1996 . “ Local Polynomial Modelling and its Applications ” . London : Chapman & Hall .
- Volkonskii , V. A. and Rozanov , Y. A. 1959 . Some limit theorems for random functions . Theory Probab. Appl , 4 : 178 – 197 . (doi:10.1137/1104015)
- Hall , P. and Heyde , C. C. 1980 . “ Martingale Limit Theory and its Application ” . New York : Academic Press .
- Shao , Q. and Yu , H. 1996 . Weak convergence for weighted empirical processes of dependent sequences . Ann. Probab , 24 : 2098 – 2127 . (doi:10.1214/aop/1065725185)