UMVU Estimation for Time Series
Xiaofei Xu (),
Masanobu Taniguchi () and
Naoya Murata ()
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Xiaofei Xu: Wuhan University
Masanobu Taniguchi: Waseda University
Naoya Murata: Waseda University
Chapter Chapter 25 in Research Papers in Statistical Inference for Time Series and Related Models, 2023, pp 555-564 from Springer
Abstract:
Abstract This paper introduces the sufficiency, completeness, and uniformly minimum variance unbiased estimation for Gaussian circular ARMA processes. We propose a uniformly most powerful (UMP) test by monotone likelihood ratio for the coefficient parameter of the Gaussian circular AR(1) models. The numerical study shows good performance of the UMP test with composite null and composite alternative hypotheses for the Gaussian circular AR(1) models.
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-0803-5_25
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DOI: 10.1007/978-981-99-0803-5_25
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