论文标题

Hurst系数的估计器的渐近扩展

Asymptotic expansion of an estimator for the Hurst coefficient

论文作者

Mishura, Yuliya, Yamagishi, Hayate, Yoshida, Nakahiro

论文摘要

提出了渐近膨胀,以估计布朗尼分数运动的赫斯特系数。为此,应用了Wiener功能分布分布的渐近扩展理论。数值研究证明了渐近扩张的影响。

Asymptotic expansion is presented for an estimator of the Hurst coefficient of a fractional Brownian motion. For this, a recently developed theory of asymptotic expansion of the distribution of Wiener functionals is applied. The effects of the asymptotic expansion are demonstrated by numerical studies.

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