Table 4.

Parameter results from the simulation study (n = 50) comparing the HMMM to the DCRWS${}_{\mathrm{NOME}}$. The Lower and Upper columns correspond to the 95% confidence and credible intervals for the HMMM and the DCRWS${}_{\mathrm{NOME}}$, respectively. The Estimate, Lower, and Upper columns are averages taken over all simulations. The RMSE columns contain the root mean squared errors

Parameter	True value	HMMM				DCRWS${}_{\mathrm{NOME}}$
		Estimate	Lower	Upper	RMSE	Estimate	Lower	Upper	RMSE
${\mathrm{\theta }}_1$	0	0.004	−0.035	0.042	0.020	−0.004	−0.043	0.035	0.020
${\mathrm{\theta }}_2$	π	3.433	1.599	4.730	0.978	2.931	0.483	5.400	0.829
${\mathrm{\gamma }}_1$	0.80	0.797	0.752	0.836	0.021	0.797	0.756	0.839	0.021
${\mathrm{\gamma }}_2$	0.05	0.060	0.018	0.321	0.044	0.052	0.007	0.138	0.037
${\mathrm{\sigma }}_{lon}$	0.07	0.070	0.067	0.073	0.002	0.070	0.067	0.073	0.002
${\mathrm{\sigma }}_{lat}$	0.05	0.050	0.048	0.052	0.001	0.050	0.048	0.052	0.001
${\mathrm{\alpha }}_{1,1}$	0.89	0.890	0.844	0.924	0.018	0.886	0.842	0.922	0.018
${\mathrm{\alpha }}_{2,1}$	0.20	0.205	0.140	0.290	0.034	0.208	0.143	0.293	0.033