An efficient shrunken estimators for the mean of normal population with known variance

• Published in: Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 21; no. 3; pp. 159 - 165
• Main Author: al-Jabburi, Abbas Najm Salman
• Format: Journal Article
• Language: Arabic; English
• Published: بغداد، العراق جامعة بغداد، كلية التربية ابن الهيثم 2008
• Subjects: Population; الإحصاء; السكان
• ISSN: 1609-4042; 2521-3407

This article considers a shrunken estimator of Al-Hermyari and Al-Goburi (١) to estimate the mean (زو of a Donnai distribution N(0. a2) with known variance (a2), when a guess value (0°) is available about the mean (9) as an initial estimate. 'Phis estimator is shown to be more efficient than the classical estimators especially when ؛ وs close to 0». General expressions for bias and MSE of considered estimator are given, W'ith some examples. Numerical results, comparisons and conclusions are reported.
This article considers a shrunken estimator of Al-Hermyari and Al-Goburi (١) to estimate the mean (زو of a Donnai distribution N(0. a2) with known variance (a2), when a guess value (0°) is available about the mean (9) as an initial estimate. 'Phis estimator is shown to be more efficient than the classical estimators especially when s close to 0 ». General expressions for bias and MSE of considered estimator are given, W'ith some examples. Numerical results, comparisons and conclusions are reported.