 Cybernetics and Systems Analysis /  Issue (2020, 56 (2))
Krasnitskiy S.M.,
Kurchenko O.O.
On Baxter type theorems for generalized random Gaussian processes with independent values We construct suitable families of basic functions and prove theorems of Baxter type for generalized Gaussian random processes with independent values. These theorems are used to divide families of such processes into classes. The singularity of probability measures corresponding to representatives of different classes is proved. © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: generalized random process, singularity of probability measures, theorems of Baxter type, Random processes, Basic functions, Different class, Gaussian Processes, Generalized Gaussian, Independent values, Probability measures, Gaussian distribution
Cite:
Krasnitskiy S.M.,
Kurchenko O.O.
(2020). On Baxter type theorems for generalized random Gaussian processes with independent values. Cybernetics and Systems Analysis, 56 (2), 66–74. doi: https://doi.org/10.1007/s10559-020-00238-5 http://jnas.nbuv.gov.ua/article/UJRN-0001103872 [In Russian]. |
PDF
