Abstract
is called weakly stationary or second order stationary, if
and
The functions
and
are called autocovariance and autocorrelation function of X t respectively. Also, for j ≠ l, γ jl and ρ jl are called cross-autocovariance and cross-autocorrelation function respectively.
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References
Brockwell, P. J., & Davis, R. A. (1991). Time series: Theory and methods. New York: Springer.
Gihman, I. L., & Skorohod, A. V. (1974). The theory of stochastic processes I (S. Kotz Trans.). Berlin: Springer-Verlag.
Hannan, E. J. (1970). Multiple time series. New York: Wiley.
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Beran, J. (2017). Spectral Representation of Real Valued Vector Time Series. In: Mathematical Foundations of Time Series Analysis. Springer, Cham. https://doi.org/10.1007/978-3-319-74380-6_5
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DOI: https://doi.org/10.1007/978-3-319-74380-6_5
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