Table 16 MSE of stratified and calibrated memory-type product estimators based on HEWMA at different values of ρ, \(\:{\lambda\:}_{1}=0.25,\:0.50,\:0.75\), \(\:{\lambda\:}_{2}=\:0.05,\:0.15,\:0.20\), and sample sizes \(\:n\).

From: Innovative memory-type calibration estimators for better survey accuracy in stratified sampling

ρ	n	λ₁ = 0.25, λ₂ = 0.05		λ₁ = 0.50, λ₂ = 0.15		λ₁ = 0.75, λ₂ = 0.20
ρ	n	y^**	\(\:{\widehat{y}}_{mpe}\)	y^**	\(\:{\widehat{y}}_{mpe}\)	y^**	\(\:{\widehat{y}}_{mpe}\)
− 0.05	10	0.000216	0.000007	0.000214	0.000007	0.000871	0.000004
	20	0.000114	0.000006	0.000115	0.000006	0.000437	0.000003
	30	0.000080	0.000006	0.000079	0.000005	0.000294	0.000002
	50	0.000051	0.000005	0.000052	0.000005	0.000179	0.000002
	200	0.000021	0.000005	0.000021	0.000005	0.000048	0.000001
	500	0.000015	0.000005	0.000015	0.000004	0.000022	0.000001
− 0.25	10	0.000213	0.000007	0.000491	0.000005	0.000866	0.000004
	20	0.000114	0.000006	0.000246	0.000003	0.000435	0.000003
	30	0.000080	0.000005	0.000167	0.000003	0.000294	0.000002
	50	0.000052	0.000005	0.000102	0.000002	0.000179	0.000002
	200	0.000021	0.000005	0.000030	0.000002	0.000048	0.000001
	500	0.000015	0.000005	0.000016	0.000002	0.000022	0.000001
− 0.50	10	0.000225	0.000007	0.000489	0.000005	0.000885	0.000004
	20	0.000112	0.000006	0.000246	0.000003	0.000437	0.000003
	30	0.000079	0.000006	0.000168	0.000003	0.000295	0.000002
	50	0.000051	0.000005	0.000102	0.000002	0.000180	0.000002
	200	0.000021	0.000005	0.000030	0.000002	0.000048	0.000001
	500	0.000015	0.000005	0.000016	0.000002	0.000022	0.000001
− 0.75	10	0.000217	0.000007	0.000485	0.000005	0.000870	0.000004
	20	0.000114	0.000006	0.000247	0.000004	0.000441	0.000003
	30	0.000079	0.000005	0.000166	0.000003	0.000293	0.000002
	50	0.000051	0.000005	0.000103	0.000003	0.000177	0.000002
	200	0.000021	0.000005	0.000030	0.000002	0.000048	0.000001
	500	0.000015	0.000005	0.000016	0.000002	0.000022	0.000001
− 0.95	10	0.000216	0.000007	0.000490	0.000005	0.000863	0.000004
	20	0.000113	0.000006	0.000247	0.000003	0.000441	0.000003
	30	0.000078	0.000006	0.000169	0.000003	0.000294	0.000002
	50	0.000051	0.000005	0.000102	0.000003	0.000179	0.000002
	200	0.000021	0.000005	0.000030	0.000002	0.000048	0.000001
	500	0.000015	0.000004	0.000016	0.000002	0.000022	0.000001

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Table 16 MSE of stratified and calibrated memory-type product estimators based on HEWMA at different values of ρ, \(\:{\lambda\:}_{1}=0.25,\:0.50,\:0.75\), \(\:{\lambda\:}_{2}=\:0.05,\:0.15,\:0.20\), and sample sizes \(\:n\).

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