Shrunken estimators for the scale parameter of classical Pareto distribution

An Efficient Shrinkage Estimator for the Parameters of Simple Linear Regression Model

“…If this value is in the vicinity of the true value, the shrinkage technique is useful to get an improved estimator. Thompson [12], Mehta and Srinivasan [6], Singh at el [10] and others suggested shrunken estimators for different distributions when a prior estimate or guess point is available. They showed that these estimators perform better in the term of Mean Square Error when a guess value  0 close to the true value.…”

“…(1) preliminary test single stage shrinkage estimator [1,2,3,4,5,10,12] is considered for estimating the parameter  ( may be refer to  or  of previous model) when a guess point  0 is available about  due the past experience or similar cases.…”

Some Estimators for the Pareto Distribution

“…The performances of the shrinkage estimators utilizing a point guess value has been studied in Refs. [13][14][15][16][17][18] and others in different contexts. We know that in many real life situations, the overestimation or underestimation are not of equal consequences.…”

Two Different Shrinkage Estimator Classes for the Shape Parameter of Classical Pareto Distribution

“…Then they showed that their proposed biased test estimators were better than other estimators through a squared error loss function. Prakash [18] derived some shrinkage test estimators and the Bayes estimators for the shape parameter of the Pareto distribution under the general entropy loss function.…”