Berry-Esseen bound for parameter estimation in some time inhomogeneous diffusions and applications
In this paper, we study the Berry-Esseen bound of the distribution of the maximum likelihood estimation in some inhomogeneous diffusions. We prove that it converges to the normal distribution with an error rate . Moreover, the obtained Berry-Esseen bound can be applied to study the precise asymptotics in the law of iterated logarithm for the maximum likelihood estimation.
| Year of publication: |
2011
|
|---|---|
| Authors: | Wang, Baobin ; Jiang, Hui ; Yu, Jinyou |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 8, p. 921-929
|
| Publisher: |
Elsevier |
| Keywords: | Berry-Esseen bound Inhomogeneous diffusion Law of iterated logarithm Precise asymptotics |
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