Table 3.

Relative RMSE of estimators for various parameters of the homodyned K-distribution. The sample size is N = 1000. Estimation methods: 1) MI [8]; 2) MA; 3) XU (proposed method); 4) RSK [11]. For the MI, MA, XU methods, the computation of the biases and standard deviations did not exclude any values of α, because 1/α = 0 is a solution. A star (*) indicates the best MSE value among the four estimators.

	MI	MA	XU	RSK
Mean relative RMSE of α̂	1.69	1.06	1.04	0.88*
Mean relative RMSE of $\widehat{1/\alpha }$	1.37	0.64	0.63*	0.67
Mean relative RMSE of k̂	1.26	0.99	0.99	0.93*
Mean relative RMSE of κ̂	6.90	4.29*	4.37	4.87
Mean relative RMSE of $\widehat{\sqrt{2\gamma }}$	1.04	0.86	0.85*	0.88
Mean relative RMSE of $\widehat{1/(\kappa +1)}$	0.18	0.12	0.13	0.11*