Efficient algorithms for computing the non and semi-parametric maximum likelihood estimates with panel count data

References

• Balakrishnan , N. and Zhao , X. 2009 . New multi-sample nonparametric tests for panel count data . Annals of Statistics , 37 : 1112 – 1149 .
   Web of Science ®Google Scholar
• Byar , D. P. 1980 . “ The Veterans Administration study of chemoprophylaxis for recurrent stage I bladder tumors: comparisons of placebo, pyridoxine, and topical thiotepa ” . In Bladder Tumors and Other Topics in Urological Oncology , Edited by: Pavane-Macaluso , M. , Smith , P. H. and Edsmyr , F. 363 – 370 . New York : Plenum .
   Google Scholar
• Goldfarb , D. and Idnani , A. 1983 . A numerical stable dual method for solving strictly convex quadratic programs . Mathematical Programming , 27 : 1 – 33 .
   Web of Science ®Google Scholar
• He , X. , Tong , X. and Sun , J. 2009 . Semiparametric analysis of panel count data with correlated observation and follow-up times . Lifetime Data Analysis , 15 : 177 – 196 .
   PubMed Web of Science ®Google Scholar
• Hu , X. , Sun , J. and Wei , L. 2003 . Regression parameter estimation from panel counts . Scandinivian Journal of Statistics , 30 : 25 – 43 .
   Web of Science ®Google Scholar
• Hu , X. , Lagakos , S. and Lockhart , R. 2009a . Generalized least squares estimation of the mean function of a counting process based on panel counts . Statistica Sinica , 19 : 561 – 580 .
   PubMed Web of Science ®Google Scholar
• Hu , X. , Lagakos , S. and Lockhart , R. 2009b . Marginal analysis of panel counts through estimating functions . Biometrika , 96 : 445 – 456 .
   PubMed Web of Science ®Google Scholar
• Hua , L. 2010 . “ Spline-Based Sieve Semiparametric Generalized Estimating Equation for Panel Count Data ” . The University of Iowa, Department of Biostatistics . Ph.D disseartation
   Google Scholar
• Huang , C.-Y. , Wang , M.-C. and Zhang , Y. 2006 . Analysing panel count data with informative observation times . Biometrika , 93 : 763 – 775 .
   PubMed Web of Science ®Google Scholar
• Jongbloed , G. 1998 . The iterative convex minorant algorithm for nonparametric estimation . Journal of Computational and Graphical Statistics , 7 : 310 – 321 .
   Web of Science ®Google Scholar
• Lawless , J. and Nadeau , C. 1995 . Some simple robust methods for the analysis of recurrent events . Technometrics , 37 : 158 – 168 .
   Web of Science ®Google Scholar
• Lin , D. , Wei , L , Yang , I. and Ying , Z. 2000 . Semiparametric regression for the mean and rate functions of recurrent events . Journal of the Royal Statistical Society, Series B , 62 : 711 – 730 .
   Google Scholar
• Lu , M. , Zhang , Y. and Huang , J. 2007 . Estimation of the mean function with panel count data using monotone polynomial splines . Biometrika , 94 : 705 – 718 .
   Web of Science ®Google Scholar
• Lu , M. , Zhang , Y. and Huang , J. 2009 . Semiparametric estimation methods for panel count data using monotone B-splines . Journal of the American Statistical Association , 104 : 1060 – 1070 .
   Web of Science ®Google Scholar
• Pan , W. 1999 . Extending the iterative convex minorant algorithm to the Cox model for interval-censored data . Journal of Computational and Graphical Statistics , 8 : 109 – 120 .
   Web of Science ®Google Scholar
• Robertson , T. , Wright , F. and Dykstra , R. 1988 . Order Restricted Statistical Inference , New York : Wiley .
   Google Scholar
• Sun , J. and Fang , H. 2003 . A nonparametric test for panel count data . Biometrika , 90 : 199 – 208 .
   Web of Science ®Google Scholar
• Sun , J. and Kalbfleisch , J. D. 1995 . Estimation of the mean function of point processes based on panel count data . Statistica Sinica , 5 : 279 – 290 .
   Web of Science ®Google Scholar
• Sun , J. and Wei , L. J. 2000 . Regression analysis of panel count data with covariate-dependent observation and censoring times . Journal of the Royal Statistical Society, Series B , 62 : 293 – 302 .
   Google Scholar
• Sun , J. , Tong , X. and He , X. 2007 . Rergression analysis of panel count data with dependent observation times . Biometrics , 63 : 1053 – 1059 .
   PubMed Web of Science ®Google Scholar
• Thall , P. F. and Lachin , J. M. 1988 . Analysis of recurrent events: nonparametric methods for random-interval count data . Journal of the American Statistical Association , 83 : 339 – 347 .
   Web of Science ®Google Scholar
• Wellner , J. A. and Zhang , Y. 2000 . Two estimators of the mean of a counting process with panel count data . Annals of Statistics , 28 : 779 – 814 .
   Web of Science ®Google Scholar
• Wellner , J. A. and Zhang , Y. 2007 . Two likelihood-based semiparametric estimation methods for panel count data with covariates . Annals of Statistics , 35 : 2106 – 2142 .
   Web of Science ®Google Scholar
• Zhang , Y. 2002 . A semiparametric pseudo likelihood estimation method for panel count data . Biometrika , 89 : 39 – 48 .
   Web of Science ®Google Scholar
• Zhang , Y. 2006 . Nonparametric k-sample tests with panel count data . Biometrika , 93 : 777 – 790 .
   Web of Science ®Google Scholar
• Zhang , Y. and Jamshidian , M. 2003 . The gamma-frailty model for the nonparametric estimation of panel count data . Biometrics , 59 : 1099 – 1106 .
   PubMed Web of Science ®Google Scholar