TL;DR
This paper introduces the concept of filtrations in probability theory and discusses fundamental theorems related to their initial and progressive enlargements, providing foundational insights into stochastic process analysis.
Contribution
It formally defines filtrations and establishes key theorems on their initial and progressive enlargements, advancing theoretical understanding.
Findings
Defined the notion of a filtration
Proved basic theorems on initial enlargements
Proved basic theorems on progressive enlargements
Abstract
In this article, we define the notion of a filtration and then give the basic theorems on initial and progressive enlargements of filtrations.
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Taxonomy
TopicsFluid dynamics and aerodynamics studies · Approximation Theory and Sequence Spaces · Fixed Point Theorems Analysis