Analysis of variance for multivariate time series

Hideaki Nagahata, Masanobu Taniguchi

    研究成果: Article

    抄録

    This study establishes a new approach for the analysis of variance (ANOVA) of time series. ANOVA has been sufficiently tailored for cases with independent observations, but there has recently been substantial demand across many fields for ANOVA in cases with dependent observations. For example, ANOVA for dependent observations is important to analyze differences among industry averages within financial data. Despite this demand, the study of ANOVA for dependent observations is more nascent than that of ANOVA for independent observations, and, thus, in this analysis, we study ANOVA for dependent observations. Specifically, we show the asymptotics of classical tests proposed for independent observations and give a sufficient condition for the observations to be asymptotically χ2 distributed. If this sufficient condition is not satisfied, we suggest a likelihood ratio test based on the Whittle likelihood and derive an asymptotic χ2 distribution of our test. Finally, we provide some numerical examples using simulated and real financial data as applications of these results.

    元の言語English
    ページ(範囲)69-82
    ページ数14
    ジャーナルMetron
    76
    発行部数1
    DOI
    出版物ステータスPublished - 2018 4 1

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    Multivariate Time Series
    Analysis of variance
    Dependent Observations
    Financial Data
    Whittle Likelihood
    Sufficient Conditions
    Likelihood Ratio Test
    Time series
    Industry
    Numerical Examples
    Observation

    ASJC Scopus subject areas

    • Statistics and Probability

    これを引用

    Analysis of variance for multivariate time series. / Nagahata, Hideaki; Taniguchi, Masanobu.

    :: Metron, 巻 76, 番号 1, 01.04.2018, p. 69-82.

    研究成果: Article

    Nagahata, Hideaki ; Taniguchi, Masanobu. / Analysis of variance for multivariate time series. :: Metron. 2018 ; 巻 76, 番号 1. pp. 69-82.
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