Strictly $\varphi$-sub-Gaussian quasi shot noise processes

  • Olga Vasylyk Taras Shevchenko National University of Kyiv, Ukraine
Keywords: Short noise processes, $\varphi$-sub-Gaussian processes

Abstract

In the paper, strictly $\varphi$-sub-Gaussian quasi shot noise processes are considered. There are obtained estimates for distribution of supremum of such a process defined on a compact set and formulated conditions for its sample functions continuity with probability one.

Author Biography

Olga Vasylyk, Taras Shevchenko National University of Kyiv, Ukraine
Department of Probability Theory, Statistics and Actuarial Mathematics, Ph.D., Associate Professor

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Published
2017-06-01
How to Cite
Vasylyk, O. (2017). Strictly $\varphi$-sub-Gaussian quasi shot noise processes. Statistics, Optimization & Information Computing, 5(2), 109-120. https://doi.org/10.19139/soic.v5i2.263
Section
Research Articles