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On Vector Autocorrelations And Generalized Second‐Order Functions For Time Series

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  • Efstathios Paparoditis

Abstract

. Some structural properties of certain vector generalizations of second‐order functions of a stationary stochastic process based on determinantial functions of autocovariances are discussed. In particular, a generalized autocovariance function which retains all properties of the ordinary autocovariance function is considered and the linear dependence structure of certain scalar stochastic processes associated with this function is investigated. Properties of the normalized function are discussed and a duality property is found, according to which this function also generalizes in a natural way the ordinary partial autocorrelation function of stochastic processes.

Suggested Citation

  • Efstathios Paparoditis, 1994. "On Vector Autocorrelations And Generalized Second‐Order Functions For Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(3), pages 325-334, May.
    • Handle: RePEc:bla:jtsera:v:15:y:1994:i:3:p:325-334
    DOI: 10.1111/j.1467-9892.1994.tb00197.x
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