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On the properties of an empirical correlogram of a Gaussian process with square integrable spectral density

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Publication:4940451
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DOI10.1007/BF01084897zbMath0933.62098MaRDI QIDQ4940451

V. V. Buldygin

Publication date: 2 March 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

functional central limit theoremstationary processesestimates of correlation functionsempirical correlogram


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Central limit and other weak theorems (60F05) Inference from stochastic processes (62M99) Functional limit theorems; invariance principles (60F17)


Related Items (4)

A criterion for testing hypotheses about the covariance function of a stationary Gaussian stochastic process ⋮ Construction of a criterion for testing hypothesis about covariance function of a stationary Gaussian stochastic process with unknown mean ⋮ Asymptotic normality of the residual correlogram in the continuous-time nonlinear regression model ⋮ Asymptotic normality of the correlogram estimator of the covariance function of a random noise in the nonlinear regression model




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