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Table 1 The estimators of β and some indices of their accuracy for the different sample size n and nonparametric function g(·)

From: Strong consistency of estimators in partially linear models for longitudinal data with mixing-dependent structure

g(·)

n

β ̄ n

Bias ^ ( β ^ n )

SD ^ ( β ^ n )

MSE ^ ( β ^ n )

exp(3t)

150

1.99938

-0.00062

0.0257

0.00066

 

200

1.99960

-0.00040

0.0221

0.00049

 

300

1.99965

-0.00035

0.0172

0.00030

 

500

1.99963

-0.00037

0.0133

0.00018

cos 3 π 2 t

150

1.99908

-0.00092

0.0238

0.00056

 

200

1.99945

-0.00055

0.0206

0.00043

 

300

1.99950

-0.00050

0.0168

0.00028

 

500

1.99969

-0.00031

0.0131

0.00017