The likelihood of the parameters of a continuous time vector autoregressive model

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    Abstract

    This paper provides a method of constructing the likelihood function of the parameters of a continuous time vector autoregressive model on the basis of discrete data without requiring the restrictions extant methods impose on the data that are capable of being rejected by a statistical test. In particular, the method does not rely on a steady-state assumption that can rule out unit root processes; it allows for weak assumptions on the innovations; and it allows for a mixture of skip-sampled and temporally-aggregated data.
    Original languageEnglish
    Pages (from-to)273-286
    JournalStatistical Inference for Stochastic Processes
    Volume5
    Issue number3
    DOIs
    Publication statusPublished - Oct 2002

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