On Jeffery Prior Distribution in Modified Double Stage Shrinkage-Bayesian Estimator for Exponential Mean


  • Abbas Najim Salman
  • Assel Hussein Ali
  • Maha A Mohammed




Jeffery Prior, DSSB, Mean Square Error


        This paper is concerned with Modified Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator  for the scale parameter (q) of an Exponential Distribution in suitable region (R) around available prior knowledge (q0) about the actual value (q) as initial estimate as well as to reduce the cost of observation. In situation where the observations are time consuming or very costly, a “Double Stage procedure “can be used to reduce the Expected Sample Size needed to obtain the estimator. This estimator has been showing a smaller Mean Squared Error for certain choice of the shrinkage weight factor y(×) and for acceptance region R.

Expressions for Bias, Mean Square Error (MSE), Expected sample size [E(n/q,R)],


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Epstein, B. and Sobcl, M., (1954), Some

Theorems to Life Testing from an

Exponential Distribution, Annals of

Mathematical Statistics, 25, p.373-381.

Al-Kutobi, H.S., (2005), On Comparison

Estimation Procedures for Parameter and

Survival Function Exponential Distribution

Using Simulation, Ph.D. Thesis, Baghdad

University, College of Education (Ibn-Al-

Haitham), Baghdad, Iraq.

Waikar, V.B., Schuurmann, F.J. and

Raghunathan,T.E., (1984), On a Two-Stage

Shrinkage Testimator of the Mean of a

Normal Distribution, Commum. Statist-

Theor. Meth., A13 (15), p.1901-1913.

Al-Joboori, A.N., (2010), Pre-Test Single

and Double Stage Shrunken Estimators for

the Mean of Normal Distribution with

Known Variance, Baghdad Journal for

Science, Vol.7(4), pp.1432-1442.

Thompson, J.R., (1968), Some Shrinkage

Techniques for Estimating the Mean, J.

Amer. Statist. Assoc, Vol.63, pp.113-122.

Al-Joboori, A.N., Khalaf, B.A. and Hamza,

S., (2010), Estimate the Scale Parameter of

Exponential Distribution Via Modified Two

Stage Shrinkage Technique, Journal

College of Education, No.(6), pp.62-75.

Al-Joboori, A.N., Salman, M.D., (2012), On

Double Stage Shrinkage-Bayesian Estimator

for the Scale Parameter of Exponential

Distribution. Accepted for publishing in

Journal of Ibn Al-Haitham for Pure and

Applied Sciences.

Katti, S.K., (1962), Use of Some a Prior

Knowledge in the Estimation of Means from

Double Samples, Biometrics, 18, p. 139-147.




How to Cite

Salman, A. N., Ali, A. H., & Mohammed, M. A. (2012). On Jeffery Prior Distribution in Modified Double Stage Shrinkage-Bayesian Estimator for Exponential Mean. Journal of Kufa for Mathematics and Computer, 1(6), 29–41. https://doi.org/10.31642/JoKMC/2018/010605

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