On double stage shrinkage estimator for the variance of normal distribution with unknown mean
Author
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 30, Issue 2 (31 Aug. 2017), pp.177-191, 15 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2017-08-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract EN
This paper is concerned with preliminary test double stage shrinkage estimators to estimate the variance (2) of normal distribution when a prior estimate 2 0 ( ) of the actual value (2) is a available when the mean is unknown , using specifying shrinkage weight factors () in addition to pre-test region (R).
Expressions for the Bias, Mean squared error [MSE ()], Relative Efficiency [R.EFF ()], Expected sample size [E(n/2)] and percentage of overall sample saved of proposed estimator were derived.
Numerical results (using MathCAD program) and conclusions are drawn about selection of different constants including in the mentioned expressions.
Comparisons between the suggested estimator with the classical estimator in the sense of Bias and Relative Efficiency are given.
Furthermore, comparisons with the earlier existing works are drawn.
American Psychological Association (APA)
Salman, Muna Dawud. 2017. On double stage shrinkage estimator for the variance of normal distribution with unknown mean. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 30, no. 2, pp.177-191.
https://search.emarefa.net/detail/BIM-768317
Modern Language Association (MLA)
Salman, Muna Dawud. On double stage shrinkage estimator for the variance of normal distribution with unknown mean. Ibn al-Haitham Journal for Pure and Applied Science Vol. 30, no. 2 (2017), pp.177-191.
https://search.emarefa.net/detail/BIM-768317
American Medical Association (AMA)
Salman, Muna Dawud. On double stage shrinkage estimator for the variance of normal distribution with unknown mean. Ibn al-Haitham Journal for Pure and Applied Science. 2017. Vol. 30, no. 2, pp.177-191.
https://search.emarefa.net/detail/BIM-768317
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 183-191
Record ID
BIM-768317