Considering a Pareto model with unknown shape and scale parameters $\alpha$ and $\beta$, respectively, we are interested in Thompson shrinkage test estimation for the shape parameter $\alpha$ under the Squared Log Error Loss (SLEL) function. We find a risk-unbiased estimator for $\alpha$ and compute its risk under the SLEL. According to Thompson (1986), we construct the pretest shrinkage (PTS) estimators for $\alpha$ with the help of a point guess value $\alpha_0$ and record observations. We investigate the risk-bias of these estimators and compute their risks numerically. A comparison is performed between the PTS estimators and a risk-unbiased estimator. A numerical example is presented for illustrative and comparative purposes. We end the paper by discussion and concluding remarks.
