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Additive process
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<p>An additive process, in <a href="/facts/Probability_theory/mFBn51rE">probability theory</a>, is a <a href="/facts/Cadlag/R9Jz9QLh">cadlag</a>, <a href="/facts/Continuous_stochastic_process/GEmGTXYm">continuous in probability</a> <a href="/facts/Stochastic_process/Ng1n1dnB">stochastic process</a> with <a href="/facts/Independent_increments/tlYU1KEB">independent increments</a>. An additive process is the generalization of a <a href="/facts/L%25C3%25A9vy_process/m9A3YQW8">Lévy process</a> (a Lévy process is an additive process with stationary increments). An example of an additive process that is not a Lévy process is a <a href="/facts/Brownian_motion/Th0g0wkr">Brownian motion</a> with a time-dependent drift. The additive process was introduced by <a href="/facts/Paul_L%25C3%25A9vy_(mathematician)/RKFMXMkL">Paul Lévy</a> in 1937. </p><p>There are applications of the additive process in <a href="/facts/Quantitative_finance/P9otEltQ">quantitative finance</a> (this family of processes can capture important features of the <a href="/facts/Implied_volatility/M5YHByy3">implied volatility</a>) and in <a href="/facts/Digital_image_processing/zenalNCf">digital image processing</a>. </p>