Single and Double Stage Shrinkage Estimators for the Normal Mean with the Variance Cases
Publication Date
Sun Dec 05 2010
Journal Name
Baghdad Science Journal
Pre-Test Single and Double Stage Shrunken Estimators for the Mean of Normal Distribution with Known Variance
"Shrinkage estimator
single- stage shrinkage estimator
double- stage shrinkage estimator
mean square error
expected sample size
efficiency"
This paper is concerned with pre-test single and double stage shrunken estimators for the mean (?) of normal distribution when a prior estimate (?0) of the actule value (?) is available, using specifying shrinkage weight factors ?(?) as well as pre-test region (R). Expressions for the Bias [B(?)], mean squared error [MSE(?)], Efficiency [EFF(?)] and Expected sample size [E(n/?)] of proposed estimators are derived. Numerical results and conclusions are drawn about selection different constants included in these expressions. Comparisons between suggested estimators, with respect to classical estimators in the sense of Bias and Relative Efficiency, are given. Furthermore, comparisons with the earlier existing works are drawn.
Publication Date
Sun Apr 06 2008
Journal Name
Diyala Journal For Pure Science
Publication Date
Sun Jan 02 2011
Journal Name
Education College Journal/al-mustansiriyah
Publication Date
Sun Dec 30 2012
Journal Name
Journal Of Kufa For Mathematics And Computer
Publication Date
Thu Jun 02 2011
Journal Name
Ibn Al-haithem Journal For Pure And Applied Sciences
Publication Date
Sun Mar 04 2012
Journal Name
Baghdad Science Journal
Double Stage Cumulative Shrunken Bayes Estimator for the variance of Normal distribution for equal volume of two sample
In this article we study the variance estimator for the normal distribution when the mean is un known depend of the cumulative function between unbiased estimator and Bays estimator for the variance of normal distribution which is used include Double Stage Shrunken estimator to obtain higher efficiency for the variance estimator of normal distribution when the mean is unknown by using small volume equal volume of two sample .
Publication Date
Fri Jun 04 2021
Journal Name
Journal Of Interdisciplinary Mathematics
(3)
Publication Date
Sun Nov 04 2012
Journal Name
Journal Of The College Of Basic Education
Double Stage Shrinkage Estimator in Pareto Distribution
Pareto distribution
Double stage shrinkage estimator
Preliminary test region
Bias
Mean square error and Relative Efficiency.
Publication Date
Thu Aug 25 2016
Journal Name
International Journal Of Mathematics Trends And Technology
(1)
Publication Date
Wed Jan 01 2014
Journal Name
American Journal Of Mathematics And Statistics