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
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
NTIS |
PB90-232125 |
Some EPA libraries have a fiche copy filed under the call number shown. |
|
07/26/2022 |
|
Collation |
14p |
Abstract |
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. |
Supplementary Notes |
Pub. in Biometrics, v42 p495-506 Sep 86. Sponsored by Health Effects Research Lab., Research Triangle Park, NC. |
NTIS Title Notes |
Journal article. |
Title Annotations |
Reprint: Survival Estimation Using Splines. |
Category Codes |
44C; 72F |
NTIS Prices |
PC A03/MF A01 |
Primary Description |
600/10 |
Document Type |
NT |
Cataloging Source |
NTIS/MT |
Control Number |
022221105 |
Origin |
NTIS |
Type |
CAT |