See stochastic process in All languages combined, or Wiktionary
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"ref": "1994, Andrzej Lasota, Michael C. Mackey, Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics, 2nd edition, Springer, page 254:",
"text": "A stochastic process #x5C;#x7B;#x5C;zeta#x5F;t#x5C;#x7D; is a family of random variables that depends on a parameter t, usually called time.[…]Two important properties stochastic processes may have are given in the following definition.",
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"text": "Hence even Bernoulli processes, often regarded as the most random stochastic processes, are simulated by deterministic systems in science when observed with specific observation functions. But then any attempt to separate such deterministic systems from the deterministic systems needed to simulate the stochastic processes in science must fail. The philosophical implication of this result is that the above guess is wrong, viz. the deterministic systems which simulate the stochastic processes in science include deterministic systems in science. This indicates that from a predictive viewpoint, stochastic processes and deterministic systems are very similar.",
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"sense": "a function mapping to set of random variables",
"word": "確率過程"
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"sense": "a function mapping to set of random variables",
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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