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A NOTE ON MEASURABLE MODIFICATIONS

delete2026-01-01
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PRE
AI
O
Ondrejat, Martin *
S
Seidler, Jan
DOI:10.14736/kyb-2026-1-0007delete
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Abstract

Abstract

En 中文
We present, with purely didactic aims, a simple and essentially self-contained proof of two necessary and sufficient conditions for existence of a measurable modification of a stochastic process with values in a separable complete metric space. Existence of a measurable modifica-tion of a stochastic process continuous in probability is an immediate consequence.
Keywords:
stochastic processes
measurable modification

Journal

K
Kybernetika
IF:
2.2
Papers:
12
Citations:
978

Organization

C
Czech Academy of Sciences
Scholars:
2.7K
Papers: 1.1K
Citations: 4.4W
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Cited Papers

No cited papers available