Lipschitz conditions for stochastic processes in the Banach spaces of random variables
Authors:
D. V. Zatula and Yu. V. Kozachenko
Translated by:
S. Kvasko
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika, tom 91 (2014).
Journal:
Theor. Probability and Math. Statist. 91 (2015), 43-60
MSC (2010):
Primary 60G07; Secondary 60G17
DOI:
https://doi.org/10.1090/tpms/965
Published electronically:
February 3, 2016
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: The Lipschitz continuity is studied for stochastic processes



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Additional Information
D. V. Zatula
Affiliation:
Department of Probability Theory, Statistics, and Actuarial Mathematics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue, 6, Kyiv 03127, Ukraine
Email:
dm$_$zatula@mail.ru
Yu. V. Kozachenko
Affiliation:
Department of Probability Theory, Statistics, and Actuarial Mathematics, Faculty for Mechanics and Mathematics, National Taras Shevchenko University, Academician Glushkov Avenue, 6, Kyiv 03127, Ukraine
Email:
yvk@univ.kiev.ua
DOI:
https://doi.org/10.1090/tpms/965
Keywords:
Banach spaces $\mathbb{F}_\psi(\Omega)$,
stochastic processes,
Lipschitz conditions,
continuity modulus,
metric massiveness
Received by editor(s):
June 23, 2014
Published electronically:
February 3, 2016
Article copyright:
© Copyright 2016
American Mathematical Society