Two New Estimators for a Normal Coefficient of Variation based on Ranked Set Sampling | ||||
المجلة العلمية للدراسات والبحوث المالية والإدارية | ||||
Article 12, Volume 12, Issue 2, December 2021, Page 1-24 PDF (380.81 K) | ||||
Document Type: المقالة الأصلية | ||||
DOI: 10.21608/masf.2021.224343 | ||||
View on SCiNiTO | ||||
Authors | ||||
Mohamed S. Abdallah ; Mohamed S. Hamouda | ||||
Abstract | ||||
This article addresses the estimation for the coefficient of variation (CV) of the normal distribution considering ranked set sampling. Using EM algorithm and linear interpolation technique, two new estimators for the CV are proposed. The finite sample size properties of the proposed estimators are examined by simulation studies in terms of their relative efficiency, Pitman measures of closeness and bias criteria. It turns out that the proposed estimators are substantially more efficient and less sensitive to the perfectness assumption than those recently suggested in the literature. Also it was verified the superiority of the proposed estimators using empirical data set. | ||||
Keywords | ||||
Coefficient of Variation; Concomitant variable; EM algorithm; Estimation methods; Imperfect Models; Missing Data Approach; Ranked set sampling | ||||
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