Least squares estimator for α-sub-fractional bridges

被引：0

作者：

Kuang, Nenghui ^{[1
]}

Liu, Bingquan ^{[2
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China

[2] Weinan Normal Univ, Sch Math & Informat Sci, Weinan 714000, Peoples R China

来源：

STATISTICAL PAPERS | 2018年 / 59卷 / 03期

关键词：

Least squares estimator; Sub-fractional Brownian motion; alpha-sub-fractional bridge; ORNSTEIN-UHLENBECK PROCESS; BROWNIAN-MOTION; FUNCTIONALS; INTEGRATION; RESPECT; TIME;

D O I：

10.1007/s00362-016-0795-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let alpha, T > 0. We investigate the asymptotic properties of a least squares estimator (LSE) for the parameter of alpha sub-fractional bridge defined as dX(t) = -alpha X-t/T-t dt + d S-t(H), O <= t < T, X-o = O, where S-H is a sub-fractional Brownian motion of Hurst parameter H is an element of(1/2, 1). Depending on the value of alpha, we prove that we may have strong consistency or not as t -> T. When we have consistency, we obtain the rate of this convergence as well.

引用

页码：893 / 912

页数：20

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