On Significance Testimator in Pareto Distribution Via Shrinkage Technique
Pareto Distribution
Shrinkage Estimation
Preliminary Test Region
Bias
Mean Squared Error and Relative Efficiency.
In this paper, preliminary test Shrinkage estimator have been considered for estimating the shape parameter α of pareto distribution when the scale parameter equal to the smallest loss and when a prior estimate α0 of α is available as initial value from the past experiences or from quaintance cases. The proposed estimator is shown to have a smaller mean squared error in a region around α0 when comparison with usual and existing estimators.