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

Other Title(s)

مقدرات التقلص الكفوءة لمتوسط التوزيع الطبيعي عندما يكون التباين معلوما

Author

al-Jabburi, Abbas Najm Salman

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 21, Issue 3 (30 Sep. 2008), pp.159-165, 7 p.

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2008-09-30

Country of Publication

Iraq

No. of Pages

7

Main Subjects

Mathematics

Topics

Abstract AR

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.

Abstract EN

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.

American Psychological Association (APA)

al-Jabburi, Abbas Najm Salman. 2008. An efficient shrunken estimators for the mean of normal population with known variance. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 21, no. 3, pp.159-165.
https://search.emarefa.net/detail/BIM-355493

Modern Language Association (MLA)

al-Jabburi, Abbas Najm Salman. An efficient shrunken estimators for the mean of normal population with known variance. Ibn al-Haitham Journal for Pure and Applied Science Vol. 21, no. 3 (2008), pp.159-165.
https://search.emarefa.net/detail/BIM-355493

American Medical Association (AMA)

al-Jabburi, Abbas Najm Salman. An efficient shrunken estimators for the mean of normal population with known variance. Ibn al-Haitham Journal for Pure and Applied Science. 2008. Vol. 21, no. 3, pp.159-165.
https://search.emarefa.net/detail/BIM-355493

Data Type

Journal Articles

Language

English

Notes

Includes appendix : p. 164

Record ID

BIM-355493