On two applications of truncated variation

Mathematics – Probability

Scientific paper

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Scientific paper

We present two applications of truncated variation. The first aplication is a decomposition of a real-valued stochastic process with cadlag trajectories into a sum of uniformly close, finite variation process and infinite variation process with arbitrary small amplitude. The second application is the definition of a stochastic integral as a limit of pathwise Riemann-Stieltjes integrals.

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