Open AccessAlmost Unbiased Estimation of Coefficient of Dispression from Imputed Data
Author(s) -
Muhammad Umair Sohail,
Nursel Koyuncu,
Muhammad Areeb Iqbal Sethi
Publication year - 2021
Publication title -
statistics, computing and interdisciplinary research
Language(s) - English
Resource type - Journals
eISSN - 2788-7464
pISSN - 2707-7101
DOI - 10.52700/scir.v3i2.55
Subject(s) - estimator , statistics , mathematics , minimum variance unbiased estimator , efficiency , imputation (statistics) , bias of an estimator , stein's unbiased risk estimate , unbiased estimation , efficient estimator , u statistic , best linear unbiased prediction , mean squared error , missing data , computer science , selection (genetic algorithm) , artificial intelligence
This article develops an almost unbiased estimation of coefficient of dispersion by the productive use of coefficient of dispersion of the auxiliary variable in two phase sampling. Expressions for variances of the proposed estimators are obtained up to first order of approximation. The relative efficiencies of proposed unbiased ratio estimator are compared with navie estimator by using simulated data sets. Thus, we conclude that the proposed imputation procedure is more efficient than traditional estimator.