Analysis of variance for high-dimensional time series
Hideaki Nagahata () and
Masanobu Taniguchi
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Hideaki Nagahata: Waseda University
Masanobu Taniguchi: Waseda University
Statistical Inference for Stochastic Processes, 2018, vol. 21, issue 2, No 12, 455-468
Abstract:
Abstract Analysis of variance (ANOVA) is tailored for independent observations. Recently, there has been considerable demand for ANOVA of high-dimensional and dependent observations in many fields. For example, it is important to analyze differences among industry averages of financial data. However, ANOVA for these types of observations has been inadequately developed. In this paper, we thus present a study of ANOVA for high-dimensional and dependent observations. Specifically, we present the asymptotics of classical test statistics proposed for independent observations and provide a sufficient condition for them to be asymptotically normal. Numerical examples for simulated and radioactive data are presented as applications of these results.
Keywords: Analysis of variance; High-dimensional dependent disturbance; DCC-GARCH model; Non-Gaussian vector stationary process (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sistpr:v:21:y:2018:i:2:d:10.1007_s11203-018-9187-7
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DOI: 10.1007/s11203-018-9187-7
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