Title of article :
SMALL AND LARGE SAMPLE PERFORMANCE OF KAPLAN-MEIER AND SHRUNKEN KAPLAN-MEIER SURVIVAL FUNCTIONS
Author/Authors :
ZAMAN, QAMRUZ University of Peshawar - Department of Statistics, Pakistan , HAYAT, YOUSAF NWFP Agricultural University - Department ofMathematics Statistics and Computer Science, Pakistan , SUHAIL, S.M. NWFP Agricultural University - Department of Animal Breeding and Genetics, Pakistan , KHAN, MUNIR NWFP Agricultural University - Department of Agricultural Economics, Pakistan , SHAH, WAQAR NWFP University of Engineering and Technology, Pakistan
Abstract :
Simulations were conducted to compare the Kaplan-Meier survival function with the Shrunken KaplanMeiersur vival f unction. Using the mean square error and pitman closeness criterion, the Shrunken Kaplan-Meierestimator is seem to perform better as compared to the Kaplan-Meier estimator espec ially for Weibull distributionandfor a variety ofcensoring percentages. In case ofexponential and log-logistic survival distributions, the resultsare less clear and not up to the mark. In additi on, tH O varianc e estimators of Shrunken survival function areproposed. Simulation results show that Shrunken Kaplan-Meier survival function considerably perform better forthe small samples.
Keywords :
Kaplan , Meier survivalfunction , Shrunken Kaplan , Meier survivalfunction , Weibull distribution , Exponential distribution , Log , logistic distribution , Pitman closeness criterion
Journal title :
Sarhad Journal of Agriculture
Journal title :
Sarhad Journal of Agriculture
