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The purpose of this paper is to define the related concepts and theorems about the second moment process in stochastic analysis on time scales.
Abstract
Purpose
The purpose of this paper is to define the related concepts and theorems about the second moment process in stochastic analysis on time scales.
Design/methodology/approach
The study on stochastic analysis now includes two special conditions, namely discrete and continual conditions. However, in some cases, conditions are time scales, so that a new concept, namely stochastic analysis on time scales, is needed. Applying the time scales theory to the second moment process in stochastic analysis, related concept foundation of stochastic analysis on time scales has been established.
Findings
The need for the theory about stochastic analysis on time scales is recognized.
Practical implications
This is a very useful theory in related fields in future.
Originality/value
Stochastic analysis on time scales expand applying fields of stochastic analysis, and will be helpful to related fields.
Details