Olenko, A. Ya. On proximity of the spectral functions of homogeneous isotropic fields. (English. Russian original) Zbl 0836.60057 Theory Probab. Math. Stat. 46, 117-119 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 120-124 (1992). Summary: A connection is established between the mean probability metric and the Lévy-Prokhorov metric for measures defined on \(\mathbb{R}^n\). Estimates are obtained of the closeness in different metrics of the spectral functions of homogeneous isotropic fields when their correlation functions are the same on an interval. MSC: 60G60 Random fields 60E99 Distribution theory Keywords:Lévy-Prokhorov metric; spectral functions of homogeneous isotropic fields; correlation functions PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0836.60057); translation from Teor. Jmovirn. Mat. Stat. 46, 120--124 (1992)