Analysis of variance for high-dimensional time series

Hideaki Nagahata, Masanobu Taniguchi

    Research output: Contribution to journalArticle

    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.

    Original languageEnglish
    Pages (from-to)455-468
    Number of pages14
    JournalStatistical Inference for Stochastic Processes
    Volume21
    Issue number2
    DOIs
    Publication statusPublished - 2018 Jul 1

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    Keywords

    • Analysis of variance
    • DCC-GARCH model
    • High-dimensional dependent disturbance
    • Non-Gaussian vector stationary process

    ASJC Scopus subject areas

    • Statistics and Probability

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