Statistical Inferences on Some Triangular Distributions: Case of Boundary Values Being Parameters

Authors : Ismail Erdem

Pages : 29-41

View : 19 | Download : 18

Publication Date : 2013-07-15

Article Type : Research Paper

Abstract :If continuous random variables X has a triangular distribution and if its boundary values Ɵ1 and/or Ɵ2 are unknown, then it may well be necessary to make some statistical inferences related to these parameters. For triangular distributions, with unknown boundary values, some estimators, as functions of ordered statistics, are proposed. The proposed estimators are compared based on their efficiencies. Based on efficiency criteria, the best estimator, among the proposed estimators, is determined. By the use of the best estimator, a confidence interval construction and the test of hypotheses procedures are developed. By means of a simulation process, matching accuracy between sampling results and theoretical findings is observed.
Keywords : Tahmin Edicilerin Etkinlikleri, Tahmin Ediciler, Sıralı İstatistikler, Simülasyon, Üçgensel Dağılım