Oleshko, T. A. Asymptotic normality of estimators of parameters of a Gaussian stationary process obtained from characteristics of crossings of different levels. (English. Russian original) Zbl 0748.62048 Theory Probab. Math. Stat. 42, 123-131 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 103-110 (1990). Summary: Estimators are constructed for parameters such as the variance and the second spectral moment of the correlation function of a stationary random process from characteristics of crossings of different levels. Asymptotic properties of the estimators are studied. MSC: 62M09 Non-Markovian processes: estimation 62F12 Asymptotic properties of parametric estimators 60G10 Stationary stochastic processes 60G15 Gaussian processes Keywords:asymptotic normality; Gaussian stationary process; level crossing; variance; second spectral moment; correlation function PDFBibTeX XMLCite \textit{T. A. Oleshko}, Theory Probab. Math. Stat. 42, 123--131 (1990; Zbl 0748.62048); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 103--110 (1990)