Record Display for the EPA National Library Catalog


Main Title Survival Estimation Using Splines.
Author Whittemore, A. S. ; Keller., J. B. ;
CORP Author Stanford Univ., CA. Dept. of Family, Community and Preventive Medicine.;Health Effects Research Lab., Research Triangle Park, NC.
Publisher cSep 86
Year Published 1986
Report Number EPA-R-813495; EPA/600/J-86/525;
Stock Number PB90-232125
Additional Subjects Carcinogens ; Survival ; Biostatistics ; Estimating ; Approximation ; Convergence ; Mathematical models ; Reprints ; Spline functions ; Maximum likelihood estimates ; Mean square values
Library Call Number Additional Info Location Last
NTIS  PB90-232125 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 14p
A nonparametric maximum likelihood procedure is given for estimating the survivor function from right-censored data. It approximates the hazard rate by a simple function such as a spline, with different approximations yielding different estimators. A special case is that proposed by Nelson (1969, Journal of Quality Technology 1,27-52) and Altshuler (1970, Mathematical Biosciences 6, 1-11). The estimators are uniformly consistent and have the same asymptotic weak convergence properties as the Kaplan-Meier (1958, Journal of the American Statistical Association 53, 457-481) estimator. However, in small and in heavily censored samples, the simplest spline estimators have uniformly smaller mean squared error than do the Kaplan-Meier and Nelson-Altshuler estimators. The procedure is extended to estimate the baseline hazard rate and regression of coefficients in the Cox (1972, Journal of the Royal Statistical Society, Series B 34, 187-220) proportional hazards model and is illustrated using experimental carcinogenesis data.