Table 13 MSE of stratified and calibrated memory-type product estimators based on EEWMA 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^**	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{p}\varvec{e}}\)	y^**	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{p}\varvec{e}}\)	y^**	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{p}\varvec{e}}\)
− 0.05	10	0.001191	0.000009	0.002889	0.000027	0.005610	0.000044
	20	0.000585	0.000005	0.001432	0.000011	0.002838	0.000022
	30	0.000399	0.000003	0.000948	0.000007	0.001894	0.000015
	50	0.000238	0.000002	0.000577	0.000005	0.001126	0.000009
	200	0.000060	0.000001	0.000145	0.000001	0.000280	0.000002
	500	0.000024	0.000001	0.000058	0.000001	0.000113	0.000001
− 0.25	10	0.001315	0.000009	0.003085	0.000021	0.006039	0.000041
	20	0.000640	0.000004	0.001559	0.000011	0.002996	0.000021
	30	0.000428	0.000003	0.001036	0.000007	0.002009	0.000014
	50	0.000253	0.000002	0.000623	0.000004	0.001194	0.000008
	200	0.000006	0.000001	0.000155	0.000001	0.000298	0.000002
	500	0.000026	0.000001	0.000062	0.000001	0.000121	0.000001
− 0.50	10	0.001371	0.000008	0.003366	0.000020	0.006556	0.000038
	20	0.000071	0.000004	0.001685	0.000010	0.003307	0.000019
	30	0.000462	0.000003	0.001115	0.000006	0.002178	0.000013
	50	0.000277	0.000002	0.000678	0.000004	0.001307	0.000008
	200	0.000070	0.000004	0.000170	0.000001	0.000327	0.000002
	500	0.000027	0.000001	0.0000678	0.000001	0.000129	0.000001
− 0.75	10	0.001501	0.000008	0.003622	0.000018	0.007103	0.000035
	20	0.000763	0.000004	0.001845	0.000009	0.003576	0.000017
	30	0.000511	0.000003	0.001237	0.000006	0.002351	0.000015
	50	0.000302	0.000002	0.000731	0.000004	0.001414	0.000007
	200	0.000074	0.000001	0.000183	0.000001	0.000351	0.000002
	500	0.000029	0.000001	0.000074	0.000001	0.000142	0.000001
− 0.95	10	0.001614	0.000007	0.003863	0.000017	0.007468	0.000032
	20	0.000793	0.000004	0.001934	0.000008	0.003774	0.000016
	30	0.000248	0.000002	0.001297	0.000006	0.002491	0.000011
	50	0.000325	0.000002	0.000771	0.000003	0.001502	0.000006
	200	0.000079	0.000001	0.000196	0.000001	0.000371	0.000002
	500	0.000003	0.000001	0.000078	0.000001	0.000150	0.000001

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Table 13 MSE of stratified and calibrated memory-type product estimators based on EEWMA 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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