Abstract
An estimate and a confidence interval are constructed for the Baxter parameter of a pseudo-Gaussian random process with the help of the Levi-Baxter-Gladyshev theorem for weighted variations. An essential advantage of the proposed estimation method is that it estimates a process not from its realizations but from its observations at discrete moments of time.
Similar content being viewed by others
References
L. B. Vovk and Yu. V. Kozachenko, “Rate of convergence in Levi-Baxter theorems for some classes of random processes,” Teor. Imovirn. ta Mat. Statistika, 46, 25–36 (1992).
V. V. Buldygin and Yu. V. Kozachenko, “Sub-Gaussian random quantities,” Ukr. Mat. Zh., 32, No. 6, 25–36 (1980).
L. B. Vovk and O. P. Knopov, “An optimal estimate of the Baxter parameter for a pseudo-Gaussian process,” in: Optimal Solution Theory, V. M. Glushkov Cybernetics Institute of NASU, Kiev (2000), pp. 52–54.
L. B. Vovk, “On limit properties of weighted variations of some random processes,” in: Computer Mathematics, V. M. Glushkov Cybernetics Institute of NASU, No. 3, Kiev (2005), pp. 109–115.
Ye. P. Besklinskaya and R. Ye. Mayboroda, “On the rate of convergence of some estimates for parameters of stationary Gaussian random processes,” Computer Mathematics, V. M. Glushkov Cybernetics Institute of NASU, 43, Kiev (1990), pp. 13–19.
Author information
Authors and Affiliations
Additional information
__________
Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 76–83, May–June 2006.
Rights and permissions
About this article
Cite this article
Vovk, L.B. Estimation of some parameters of pseudo-Gaussian random processes. Cybern Syst Anal 42, 372–378 (2006). https://doi.org/10.1007/s10559-006-0074-7
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10559-006-0074-7