A General Frequency Domain Estimation Method for Gegenbauer Processes

Author:

Hunt Richard1ORCID,Peiris Shelton2,Weber Neville2

Affiliation:

1. The University of Sydney , School of Mathematics and Statistics , University of Sydney , Sydney , New South Wales , 2006 Australia

2. The University of Sydney , School of Mathematics and Statistics , Sydney , New South Wales , Australia

Abstract

Abstract In this paper a new method for estimation of all the parameters of a k-factor Gegenbauer process is developed using a broadband nonlinear least-squares regression technique in the frequency-domain, with similarities to a Whittle estimator. Simulation studies where the underlying distribution is symmetric suggest that while the new method may have a slightly lower level of accuracy than existing methods (Whittle, conditional sum-of-squares), it can improve the accuracy in determining the values for the short-memory parameters of highly skewed non-Gaussian data (e.g., χ 2), while having the added advantage of being evaluated considerably faster. In a supplementary addendum we provide some theoretical results under a Gaussian assumption.

Publisher

Walter de Gruyter GmbH

Subject

Economics and Econometrics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bayesian estimation of Gegenbauer processes;Journal of Statistical Computation and Simulation;2022-11-06

2. Estimation methods for stationary Gegenbauer processes;Statistical Papers;2022-02-14

3. Minimum Message Length in Hybrid ARMA and LSTM Model Forecasting;Entropy;2021-11-29

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3