Table 2 MSE of stratified and calibrated memory-type ratio estimators based on EWMA statistic at various values of 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	y^*	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{r}}\)	y^*	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{r}}\)	y^*	\(\:{\widehat{\varvec{y}}}_{\varvec{m}\varvec{r}}\)
0.05	10	0.003017	0.000235	0.005501	0.000364	0.009212	0.000552
	20	0.001541	0.000118	0.002736	0.000180	0.004621	0.000273
	30	0.001012	0.000077	0.001854	0.000121	0.003065	0.000180
	50	0.000613	0.000047	0.001104	0.000072	0.001831	0.000108
	200	0.000151	0.000012	0.000275	0.000018	0.000459	0.000027
	500	0.000062	0.000005	0.000111	0.000007	0.000185	0.000011
0.25	10	0.003201	0.000208	0.005116	0.000294	0.008549	0.000448
	20	0.001614	0.000104	0.002532	0.000145	0.004228	0.000220
	30	0.001060	0.000069	0.001697	0.00097	0.002840	0.000147
	50	0.000643	0.000041	0.001015	0.000057	0.001678	0.000087
	200	0.000160	0.000010	0.000253	0.000014	0.000423	0.000022
	500	0.000065	0.000004	0.000101	0.000006	0.000170	0.000009
0.50	10	0.002532	0.000136	0.004565	0.000203	0.007630	0.000321
	20	0.001261	0.000067	0.002288	0.000102	0.003778	0.000158
	30	0.000842	0.000045	0.001508	0.000067	0.002502	0.000105
	50	0.000505	0.000027	0.000914	0.000040	0.001501	0.000062
	200	0.000012	0.000007	0.000225	0.000001	0.000379	0.000016
	500	0.000050	0.000003	0.000090	0.000004	0.00050	0.000006
0.75	10	0.002230	0.000079	0.004001	0.000114	0.006730	0.000195
	20	0.001105	0.000039	0.001986	0.000057	0.003302	0.000094
	30	0.000741	0.000026	0.001344	0.000038	0.002217	0.000062
	50	0.000437	0.000015	0.000793	0.000022	0.001331	0.000038
	200	0.000112	0.000004	0.000202	0.000006	0.000330	0.000009
	500	0.000045	0.000002	0.000080	0.000002	0.00031	0.000004
0.95	10	0.001975	0.000034	0.003592	0.000045	0.006025	0.000094
	20	0.000974	0.000076	0.001768	0.000021	0.002961	0.000045
	30	0.000664	0.000011	0.001182	0.000014	0.001982	0.000030
	50	0.000397	0.000007	0.000716	0.000008	0.001185	0.000017
	200	0.000098	0.000002	0.000177	0.000002	0.000296	0.000004
	500	0.000039	0.000001	0.000072	0.000001	0.000118	0.000002

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Table 2 MSE of stratified and calibrated memory-type ratio estimators based on EWMA statistic at various values of ρ, smoothing parameters \(\:\lambda\:=0.50,\:0.75,\:1.00,\) and sample sizes \(\:n\).

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