random walk

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random walk

n. Statistics
A sequence of changes, either in the value of a random variable or in a process (as in the price of a share of stock), in which the direction and size of each change is randomly determined, subject to some specified rules.

random walk

n
1. (General Physics) a mathematical model used to describe physical processes, such as diffusion, in which a particle moves in straight-line steps of constant length but random direction
2. (Statistics) statistics a route consisting of successive and connected steps in which each step is chosen by a random mechanism uninfluenced by any previous step

ran′dom walk′


n.
the path of a point or quantity that moves or changes in a stepwise manner, where the direction of each step is statistically random.
[1900–05]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.random walk - a stochastic process consisting of a sequence of changes each of whose characteristics (as magnitude or direction) is determined by chance
stochastic process - a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
Translations
References in periodicals archive ?
These stocks were Hurst processes, or biased random walks.
In today's busy life there is not much time for workouts, but tweak in time for random walks and a few minutes of physical activity.
They cover pattern, process, and scale, aggregation and segregation; random walks and mobile entities; percolation and growth; representing time and space; model uncertainty and evaluation; and weaving it all together.
Two main directions it aims to explore are non-commutative differential geometry and boundary theory of quantum random walks.
The different methods employed in the present study for testing random walks are briefly described below.
Random walks and market efficiency: Evidence from international real estate markets.
However, the result was controversial with the previous studies, because the larger markets in some cases did not follow random walk model (Hong Kong and Korea- Huang 1995; Mexico- Urrutia 1995) whereas the small markets did follow the random walks (Indonesia- Huang 1995; Argentina- Urrutia 1995; Ojah, Karemera 1999).
With this addition too, random walks on the citation graph give rise to a regular Markov chain, and the invariant probability vector of the chain yields a meaningful ranking of the papers in the collection.
For advanced graduate students, Chen provides a systematic account of recent mathematical advances in large deviations arising from the area of sample path intersections, including calculation of the tail probabilities of the intersection local times, the ranges and the intersections of the ranges of random walks and Brownian motions, as well as discussion of the weak law and the law of the iterated logarithm for these models.
Zooming out, the data series seem to behave like random walks (no pattern can be summed up), but, once as the "resolution" is magnified (the data frequency is increased), a set of special properties ("fat-tails" effects, long range correlations in volatility, the presence of informational leverage etc.
Many of these problems can be viewed as random walks [2, 7].
Other interesting functionals acting on random walks with a barrier are the number of non-zero increments (jumps)