Author/Authors :
ÖZDEMİR, Şenay Afyon Kocatepe Üniversitesi - Fen-Edebiyat Fakültesi - İstatistik Bölümü, Turkey , EBEGİL, Meral Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey
Title Of Article :
Shrinkage Estimators for the Shape Parameter of Classical Pareto Distribution
Abstract :
In this study, the biased estimators for the shape parameter of classical Pareto distribution by using the maximum likelihood estimator and the unbiased estimator are proposed. Mean square errors of these biased estimators are smaller than mean square errors of maximum likelihood estimator and the unbiased estimator. Then the unbiased estimator and the maximum likelihood estimator are compared with obtained biased estimators by means of simulation study and conclusions are interpreted.
NaturalLanguageKeyword :
Mean Square Error , Bias , Pareto Distribution , Shape Parameter , Shrinkage Estimation
JournalTitle :
Journal Of Natural and Applied Sciences
