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Theory and Modern Applications

Table 1 The MSEs of Nadaraya–Watson estimator (MSE1) and variable bandwidth local M-estimator (MSE2) for drift function \(\mu (\cdot)\)

From: Variable bandwidth local maximum likelihood type estimation for diffusion processes

Sample size n

MSE1

MSE2

n = 100

0.0628

0.0667

n = 500

0.0042

0.0036

n = 1000

0.0023

0.0019

n = 5000

0.0014

0.0011

n = 10,000

0.0012

0.0007