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

Journal of Inequalities and Applications

Table 1 Biases 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	0.0112	0.0040	0.0038	0.0112	0.0039	0.0036
		100	0.0107	0.0016	0.0015	0.0104	0.0013	0.0011
		150	0.0072	0.0004	0.0004	0.0071	0.0003	0.0003
	20%	50	−0.0121	−0.0072	−0.0073	−0.0119	−0.0060	−0.0062
		100	0.0072	0.0053	0.0054	0.0064	0.0049	0.0052
		150	0.0019	0.0023	0.0022	0.0020	0.0023	0.0020
	30%	50	−0.0128	−0.0087	−0.0083	−0.0095	−0.0056	−0.0046
		100	0.0127	0.0075	0.0073	0.0123	0.0067	0.0062
		150	0.0080	0.0026	0.0024	0.0081	0.0024	0.0021
\(\Sigma _{e2}\)	10%	50	0.0134	0.0042	0.0038	0.0132	0.0034	0.0033
		100	−0.0122	0.0029	0.0028	−0.0122	0.0028	0.0026
		150	−0.0054	0.0023	0.0021	−0.0031	0.0017	0.0013
	20%	50	−0.0174	−0.0082	−0.0078	−0.0154	−0.0081	0.0080
		100	−0.0131	0.0089	0.0079	−0.0101	0.0065	0.0065
		150	0.0038	−0.0048	−0.0049	0.0043	−0.0047	−0.0044
	30%	50	−0.0134	−0.0089	−0.0089	−0.0103	−0.0062	−0.0063
		100	0.0130	0.0083	0.0083	0.0129	0.0078	0.0076
		150	0.0086	0.0023	0.0022	0.0085	0.0020	0.0019