Isotontic regression for interval censored survival data using an e-m algorithm

References

• Beadle , G.F. , Harris , J.R. , Silver , B. , Botnick , L. and Hellman , S. 1984a . cosmetic Results Following Primary Radiation Therapy for Early Breast Cancer . Cancer , 54 ( 12 ) : 2911 – 18 .
   PubMed Web of Science ®Google Scholar
• Barlow , R.E. , Bartholomew , D.J. , Bremner , J.M. and Brunk , H.D. 1972 . statistical Inference Under Order Restrictions , New York : John Wiley and Sons, Inc .
   Google Scholar
• Cox , D.R. 1972 . Regression models and life-tables (with discussion) . Journal of the Royal Statistical Societ , B34 : 187 – 220 .
   Google Scholar
• Dempster , A.P. , Laird , N.M. and Rubin , D.B. 1977 . “Maximum Likelihood Estimation from Incomplete Data via the E-M Algorith” . J.R.S.S , B39 : 1 – 22 .
   Google Scholar
• Dykstra , R. 1982 . “Maximum Likelihood Estimation of the Survival Functions of Stochastically Ordered Random Variable” . Journal of the American Statistical Association , 77 : 621 – 628 .
   Web of Science ®Google Scholar
• Efron , B. 1967 . “The Two Sample Problem with Censored Data” . In Proceedings of the Fifth Berkeley Symposium in Mathematical Statistic , Vol. 4 , 831 – 835 . University of California Press .
   Google Scholar
• Finkelstein , D.M. and Wolfe , R.A. 1985 . “A Semi-parametric model for Regression Analysis of Interval Censored Failure Time Data” . Biornetrics , 41 : 933 – 45 .
   PubMed Web of Science ®Google Scholar
• Turnbull , B.W. 1976 . “The Empirical Distribution Function with Arbitrarily Grouped, Censored and Truncated Data” . J.R.S.S , B38 : 290 – 295 .
   Google Scholar
• Wu , C.F. 1983 . “On the Convergence of the E-M Algorithm” . Annals of Statistics , 11 : 95 – 103 .
   Web of Science ®Google Scholar