The renewal equation in nonlinear approximation

  • O.A. Yarova Ivan Franko National University of Lviv Lviv, Ukraine
  • Ya.I. Yeleyko Ivan Franko National University of Lviv Lviv, Ukraine
Keywords: Markov process; renewal equation; nonlinear approximation; process with independent increments; multidimensional renewal equation

Abstract

The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.

Author Biographies

O.A. Yarova, Ivan Franko National University of Lviv Lviv, Ukraine

Ivan Franko National University of Lviv
Lviv, Ukraine

Ya.I. Yeleyko, Ivan Franko National University of Lviv Lviv, Ukraine

Ivan Franko National University of Lviv
Lviv, Ukraine

References

Ya.I. Yeleyko, I.I. Nishchenko, A limit theorem for a matrix-valued evolution, Visnyk L’viv. Universytety, 53 (1999), 102–107 (in Ukrainian).

I.I. Nishchenko, On an asymptotic representation of a normalizing factor for a random matrix-valued evolution, Theor. Probability and Math. Statist., 64 (2002), 153–160.

Published
2021-10-23
How to Cite
1.
Yarova O, Yeleyko Y. The renewal equation in nonlinear approximation. Mat. Stud. [Internet]. 2021Oct.23 [cited 2022Jan.20];56(1):103-6. Available from: http://www.matstud.org.ua/ojs/index.php/matstud/article/view/191
Section
Articles