On Tests for Self-exciting Threshold Autoregressive-type Non-linearity in Partially Observed Time Series

Howell TONG, Iris YEUNG

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Abstract

    We have adapted and extended the Petruccelli-Davies test, Petruccelli's test and Tsay's test for non-linearity in time series to cope with partially observed series. The Kalman filtering algorithm is used in the estimation stage to realize the adaptation. Two of the adapted tests are checked with a Monte Carlo study and all three tests are applied to three real series from the financial world. The fine tuning achieved by allowing for closing date effects offers further insights.
    Original languageEnglish
    Pages (from-to)43-62
    JournalJournal of the Royal Statistical Society. Series C: Applied Statistics
    Volume40
    Issue number1
    DOIs
    Publication statusPublished - 1991

    Bibliographical note

    Research Unit(s) information for this publication is provided by the author(s) concerned.

    Research Keywords

    • Hang Seng index
    • IBM stock price
    • Kalman filter
    • Non-linearity
    • Partial observations
    • Petruccelli-Davies test
    • Petruccelli's test
    • Self-exciting threshold autoregression
    • Share price
    • Tsay's test

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