Table 6.

The SN parameter estimates (standard errors) for the measurements in AIS data, obtained through MDPDEs at different α, the MLE (at $\alpha =0$) and the outlier deleted MLE. The number of outliers found for each measurements are reported after their name in the first column.

		α
Variable(Outlier)		0(MLE)	0.1	0.3	0.5	0.7	1.0	Outlier deleted MLE
HC	μ	40.664	43.387	45.384	46.382	46.382	46.383	46.440
(1)		(0.187)	(0.339)	(0.546)	(0.670)	(1.084)	(1.463)	(0.336)
	σ	4.387	4.883	4.881	4.876	4.876	4.876	4.880
		(0.185)	(0.330)	(0.438)	(0.641)	(1.300)	(1.802)	(0.333)
	γ	0.966	−1.752	−1.762	−1.766	−1.766	−1.766	−1.794
		(0.104)	(0.472)	(0.661)	(0.942)	(1.354)	(1.979)	(0.449)
RCC	μ	4.296	4.543	4.539	4.525	4.528	4.529	4.543
(1)		(0.020)	(0.021)	(0.022)	(0.024)	(0.027)	(0.028)	(0.018)
	σ	0.622	0.525	0.530	0.504	0.521	0.533	0.466
		(0.024)	(0.026)	(0.027)	(0.028)	(0.031)	(0.035)	(0.022)
	γ	1.607	0.506	0.502	0.500	0.499	0.498	0.499
		(0.086)	(0.090)	(0.095)	(0.100)	(0.107)	(0.153)	(0.086)
WCC	μ	5.106	5.481	5.472	5.471	5.471	5.471	5.475
(4)		(0.098)	(0.099)	(0.105)	(0.106)	(0.119)	(0.156)	(0.094)
	σ	2.690	2.311	2.197	2.193	2.191	2.191	2.184
		(0.105)	(0.109)	(0.125)	(0.126)	(0.147)	(0.196)	(0.099)
	γ	2.727	1.716	1.712	1.712	1.712	1.712	1.703
		(0.146)	(0.164)	(0.164)	(0.166)	(0.216)	(0.250)	(0.143)
PFC	μ	20.244	23.197	23.196	23.196	23.196	23.196	23.226
(12)		(1.519)	(1.595)	(1.742)	(1.834)	(1.977)	(2.200)	(1.546)
	σ	73.840	67.835	61.832	57.832	57.832	57.832	57.671
		(2.905)	(3.178)	(3.663)	(3.689)	(4.386)	(4.868)	(2.934)
	γ	9.143	7.096	6.097	6.097	6.097	6.097	6.066
		(0.361)	(0.606)	(0.628)	(0.854)	(1.097)	(1.783)	(0.402)
BMI	μ	19.970	21.344	22.294	22.291	22.291	22.291	22.315
(7)		(0.066)	(0.067)	(0.072)	(0.077)	(0.079)	(0.169)	(0.060)
	σ	4.133	2.646	2.386	2.369	2.368	2.369	2.349
		(0.125)	(0.132)	(0.136)	(0.146)	(0.159)	(0.190)	(0.117)
	γ	2.313	1.227	0.595	0.194	0.195	0.194	0.174
		(0.084)	(0.087)	(0.092)	(0.096)	(0.105)	(0.216)	(0.086)
LBM	μ	50.383	50.953	50.953	50.953	50.953	50.953	50.958
(1)		(0.765)	(0.796)	(0.801)	(0.854)	(0.959)	(1.351)	(0.768)
	σ	19.493	18.726	18.727	18.726	18.726	18.726	18.718
		(0.856)	(0.886)	(0.955)	(1.124)	(1.349)	(1.978)	(0.840)
	γ	2.424	2.197	2.197	2.197	2.197	2.197	2.195
		(0.106)	(0.199)	(0.199)	(0.212)	(0.229)	(0.531)	(0.106)
Ht	μ	187.072	184.794	184.794	184.794	184.794	184.794	184.771
(3)		(0.582)	(0.612)	(0.623)	(0.647)	(0.653)	(1.095)	(0.571)
	σ	11.952	10.115	10.113	10.113	10.112	10.112	10.094
		(0.321)	(0.339)	(0.384)	(0.435)	(0.517)	(0.517)	(0.315)
	γ	−1.074	−0.673	−0.676	−0.677	−0.678	−0.678	−0.674
		(0.154)	(0.166)	(0.178)	(0.185)	(0.195)	(0.284)	(0.153)
Wt	μ	64.066	69.063	72.063	72.063	72.063	72.062	72.143
(4)		(0.378)	(0.395)	(0.416)	(0.437)	(0.495)	(0.758)	(0.373)
	σ	17.682	14.076	13.072	13.071	13.071	13.071	13.024
		(0.646)	(0.686)	(0.741)	(0.748)	(0.805)	(0.874)	(0.645)
	γ	1.232	0.848	0.450	0.250	0.250	0.250	0.240
		(0.085)	(0.087)	(0.092)	(0.097)	(0.104)	(0.120)	(0.085)