Jump process
| Part of a series on statistics |
| Probability theory |
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A jump process is a loose term describing a stochastic process that has discrete movements, called jumps. The jumps may arrive at fixed times (e.g., binomial model), predictable times (e.g., jump occurs when, say, a one-dimensional Brownian motion hits, say, value 1) or at totally inaccessible stopping times (e.g., the jumps of a Poisson process). The jumps may have finite activity (only finitely many jumps on any finite time interval), finite variation (the sum of the absolute value of all jumps is finite on every finite time interval), or infinite variation.