×

Statistical properties of an estimator of the third-order moment function of a stationary process. (English. Russian original) Zbl 0836.62058

Theory Probab. Math. Stat. 46, 63-69 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 63-70 (1992).
Summary: The asymptotic behavior of the covariance and variance of a statistical estimator of the third-order moment function of a stationary process is studied, and also a theorem on the strong consistency of this estimator is proved.

MSC:

62M09 Non-Markovian processes: estimation
62F12 Asymptotic properties of parametric estimators
62M15 Inference from stochastic processes and spectral analysis
PDFBibTeX XMLCite