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- Stationary_ergodic_process abstract "In probability theory, a stationary ergodic process is a stochastic process which exhibits both stationarity and ergodicity. In essence this implies that the random process will not change its statistical properties with time and that its statistical properties (such as the theoretical mean and variance of the process) can be deduced from a single, sufficiently long sample (realization) of the process.Stationarity is the property of a random process which guarantees that its statistical properties, such as the mean value, its moments and variance, will not change over time. A stationary process is one whose probability distribution is the same at all times. For more information see stationary process.Several sub-types of stationarity are defined: first-order, second-order, nth-order, wide-sense and strict-sense.For details please see the reference above.An ergodic process is one which conforms to the ergodic theorem. The theorem allows the time average of a conforming process to equal the ensemble average. In practice this means that statistical sampling can be performed at one instant across a group of identical processes or sampled over time on a single process with no change in the measured result.A simple example of a violation of ergodicity is a measured process which is the superposition of two underlying processes,each with its own statistical properties. Although the measured process may be stationary in the long term, it is not appropriate to consider the sampled distribution to be the reflection of a single (ergodic) process: The ensemble average is meaningless. Also see ergodic theory and ergodic process.".
- Stationary_ergodic_process wikiPageID "3102474".
- Stationary_ergodic_process wikiPageLength "2051".
- Stationary_ergodic_process wikiPageOutDegree "13".
- Stationary_ergodic_process wikiPageRevisionID "565928706".
- Stationary_ergodic_process wikiPageWikiLink Category:Stochastic_processes.
- Stationary_ergodic_process wikiPageWikiLink Ergodic_(adjective).
- Stationary_ergodic_process wikiPageWikiLink Ergodic_process.
- Stationary_ergodic_process wikiPageWikiLink Ergodic_theory.
- Stationary_ergodic_process wikiPageWikiLink Ergodicity.
- Stationary_ergodic_process wikiPageWikiLink Measure-preserving_dynamical_system.
- Stationary_ergodic_process wikiPageWikiLink Moment_(mathematics).
- Stationary_ergodic_process wikiPageWikiLink Probability_distribution.
- Stationary_ergodic_process wikiPageWikiLink Probability_theory.
- Stationary_ergodic_process wikiPageWikiLink Stationary_process.
- Stationary_ergodic_process wikiPageWikiLink Stochastic_process.
- Stationary_ergodic_process wikiPageWikiLink Variance.
- Stationary_ergodic_process wikiPageWikiLinkText "Stationary ergodic process".
- Stationary_ergodic_process wikiPageWikiLinkText "stationary ergodic process".
- Stationary_ergodic_process hasPhotoCollection Stationary_ergodic_process.
- Stationary_ergodic_process subject Category:Stochastic_processes.
- Stationary_ergodic_process hypernym Process.
- Stationary_ergodic_process type Election.
- Stationary_ergodic_process type Type.
- Stationary_ergodic_process type Process.
- Stationary_ergodic_process type Type.
- Stationary_ergodic_process comment "In probability theory, a stationary ergodic process is a stochastic process which exhibits both stationarity and ergodicity.".
- Stationary_ergodic_process label "Stationary ergodic process".
- Stationary_ergodic_process sameAs m.08rkf7.
- Stationary_ergodic_process sameAs Q17123911.
- Stationary_ergodic_process sameAs Q17123911.
- Stationary_ergodic_process wasDerivedFrom Stationary_ergodic_process?oldid=565928706.
- Stationary_ergodic_process isPrimaryTopicOf Stationary_ergodic_process.