# finite variation process

In the theory of stochastic processes^{}, the term *finite-variation process* is used to refer to a process ${X}_{t}$ whose paths are right-continuous and have finite total variation^{} over every compact time interval, with probability one. See, for example, the Poisson process^{}.

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 |
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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 |