Closed-form estimators for the Pareto clutter plus noise parameters based on non-integer positive and negative order moments

In this study, closed-form expressions of the parameters estimators for Pareto distributed clutter plus noise are derived. To achieve this, the authors combine two statistical ratios based principally on non-integer positive and negative order moments. This allows absolute elimination of all related special functions contained in some existing estimators. For realistic applications, the proposed non-integer positive and negative order moments based estimators are suited to single-look and multi-look data. Simulation results show that the new estimators not only substantially reduce the computational requirements, but also yield accurate and lower variances parameters compared with the methods of moments and z log z obtained in previous works especially in the situations of heavy-tailed clutter.