Jackknifing for partially linear varying-coefficient errors-in-variables model with missing response at random

Journal of Inequalities and Applications

Table 2 MSEs of the estimators \(\widehat{\theta }_{n}^{(k)}\) and \(\widehat{\theta }_{J}^{(k)}\) with different sample sizes and MRs

\(\Sigma _{e}\)	MR	n	\(\widehat{\theta }_{n}^{(1)}\)	\(\widehat{\theta }_{n}^{(2)}\)	\(\widehat{\theta }_{n}^{(3)}\)	\(\widehat{\theta }_{J}^{(1)}\)	\(\widehat{\theta }_{J}^{(2)}\)	\(\widehat{\theta }_{J}^{(3)}\)
\(\Sigma _{e1}\)	10%	50	0.0734	0.0091	0.0091	0.0910	0.0088	0.0088
		100	0.0376	0.0046	0.0047	0.0463	0.0046	0.0047
		150	0.0257	0.0029	0.0029	0.0284	0.0029	0.0029
	20%	50	0.0761	0.0237	0.0237	0.0919	0.0219	0.0218
		100	0.0408	0.0095	0.0095	0.0479	0.0095	0.0096
		150	0.0276	0.0059	0.0059	0.0309	0.0058	0.0059
	30%	50	0.0787	0.0351	0.0351	0.1040	0.0338	0.0338
		100	0.0422	0.0136	0.0137	0.0491	0.0135	0.0136
		150	0.0272	0.0092	0.0092	0.0301	0.0092	0.0093
\(\Sigma _{e2}\)	10%	50	0.1122	0.0177	0.0178	0.2202	0.0163	0.0163
		100	0.0520	0.0057	0.0057	0.0589	0.0053	0.0053
		150	0.0353	0.0039	0.0039	0.0376	0.0037	0.0037
	20%	50	0.0809	0.0223	0.0225	0.0878	0.0234	0.0237
		100	0.0511	0.0137	0.0137	0.0566	0.0128	0.0128
		150	0.0309	0.0075	0.0075	0.0334	0.0072	0.0072
	30%	50	0.0707	0.0356	0.0355	0.1110	0.0504	0.0504
		100	0.0555	0.0192	0.0192	0.0602	0.0171	0.0171
		150	0.0356	0.0117	0.0117	0.0381	0.0112	0.0112