finite variation process


In the theory of stochastic processesMathworldPlanetmath, the term finite-variation process is used to refer to a process Xt whose paths are right-continuous and have finite total variationMathworldPlanetmathPlanetmath over every compact time interval, with probability one. See, for example, the Poisson processMathworldPlanetmath.

It can be shown that any function on the real numbers with finite total variation has left and right limits everywhere. Consequently, finite variation processes are always cadlag.

Title finite variation process
Canonical name FiniteVariationProcess
Date of creation 2013-03-22 18:36:41
Last modified on 2013-03-22 18:36:41
Owner gel (22282)
Last modified by gel (22282)
Numerical id 5
Author gel (22282)
Entry type Definition
Classification msc 60G07