Table 7 MSE of memory-type and proposed calibrated ratio estimators based on EWMA statistic at different values of correlation coefficient ρ, smoothing parameters \(\:\lambda\:=0.50,\:0.75,\:1.00,\) and sample sizes \(\:n\).

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

ρ	n	λ = 0.50		λ = 0.75		λ = 1.00
ρ	n	\(\:{{\stackrel{-}{y}}^{M}}_{rt}\)	\(\:{\widehat{y}}_{mr}\)	\(\:{{\stackrel{-}{y}}^{M}}_{rt}\)	\(\:{\widehat{y}}_{mr}\)	\(\:{{\stackrel{-}{y}}^{M}}_{rt}\)	\(\:{\widehat{y}}_{mr}\)
0.05	10	0.034272	0.000238	0.060639	0.000360	0.102756	0.000550
	20	0.016875	0.000118	0.030154	0.000179	0.051011	0.000271
	30	0.011274	0.000078	0.020349	0.000120	0.034238	0.000182
	50	0.006762	0.000047	0.012311	0.000072	0.020533	0.000109
	200	0.001675	0.000011	0.003023	0.000018	0.005123	0.000027
	500	0.000675	0.000005	0.001223	0.00007	0.002036	0.000011
0.25	10	0.030790	0.000187	0.056942	0.000294	0.094406	0.000448
	20	0.015782	0.000096	0.028117	0.000144	0.046566	0.000217
	30	0.010341	0.000063	0.018855	0.000047	0.031303	0.000146
	50	0.006321	0.000038	0.011214	0.000057	0.018731	0.000088
	200	0.001582	0.000009	0.002846	0.000014	0.004683	0.000022
	500	0.000623	0.000004	0.001133	0.000006	0.001884	0.000009
0.50	10	0.028151	0.000137	0.050739	0.000204	0.084447	0.000318
	20	0.013849	0.000066	0.025016	0.000100	0.041823	0.000157
	30	0.009345	0.000045	0.016780	0.000067	0.027691	0.000104
	50	0.005517	0.000026	0.010098	0.000040	0.016826	0.000063
	200	0.0013888	0.000007	0.002529	0.000010	0.004191	0.000015
	500	0.000553	0.000003	0.001008	0.00004	0.001675	0.000006
0.75	10	0.024390	0.000078	0.045117	0.000116	0.074298	0.000899
	20	0.012351	0.000039	0.022149	0.000056	0.036806	0.000441
	30	0.008139	0.000026	0.014919	0.000037	0.024565	0.000295
	50	0.004925	0.000016	0.008910	0.000022	0.014832	0.000177
	200	0.001226	0.00004	0.002186	0.000006	0.003114	0.00004
	500	0.000498	0.000002	0.000882	0.00002	0.001493	0.00002
0.95	10	0.021876	0.000034	0.039365	0.000044	0.066528	0.000094
	20	0.011011	0.000017	0.019648	0.000021	0.032561	0.000044
	30	0.007382	0.000011	0.013224	0.000014	0.022141	0.000030
	50	0.004332	0.00007	0.007934	0.000008	0.013277	0.000018
	200	0.001103	0.000002	0.001990	0.000002	0.003299	0.000004
	500	0.000442	0.000007	0.000791	0.000001	0.001332	0.000002

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Table 7 MSE of memory-type and proposed calibrated ratio estimators based on EWMA statistic at different values of correlation coefficient ρ, smoothing parameters \(\:\lambda\:=0.50,\:0.75,\:1.00,\) and sample sizes \(\:n\).

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