Word.ws English Dictionary

sample path

sample path noun: any set of possible values to which the appropriate random variables determined by a stochastic process might map a given point in the sample space, taken over all values of the index space (often regarded as time).

Noun

sample path (plural sample paths)

  1. Any set of possible values to which the appropriate random variables determined by a stochastic process might map a given point in the sample space, taken over all values of the index space (often regarded as time).
    • These processes cannot have versions with continuous sample paths, otherwise the argument given in Chapter 12 forces them to be Brownian motion.1968, Leo Breiman, Probability, 1992, Society for Industrial and Applied Mathematics, Unabridged corrected republication, page 298
    • 1981 [Wiley], Robert J. Adler, The Geometry of Random Fields, 2010, Society for Industrial and Applied Mathematics, Unabridged republication, page 39,
      In order to study the 'finite' situation it is necessary to impose a number of conditions on the sample paths of the fields. Indeed, what we shall...
    Synonyms:
    stochastic realisation, stochastic realization, trajectory

Synonyms of sample path

  • stochastic realisation
  • stochastic realization
  • trajectory

Forms of sample path

pluralsample paths
alternative formsample-path

Questions about sample path

What does sample path mean?
Sample path means any set of possible values to which the appropriate random variables determined by a stochastic process might map a given point in the sample space, taken over all values of the index space (often regarded as time).
What part of speech is sample path?
Sample path is a noun.
What is the plural of sample path?
The plural of sample path is sample paths.

Words near sample path in the dictionary

  1. sample lines
  2. sample market
  3. sample markets
  4. sample mean
  5. sample means
  6. sample path
  7. sample paths
  8. sample point
  9. sample points
  10. sample room
  11. sample rooms

Source and license

Adapted from Wiktionary: sample path (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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