See Poisson process in All languages combined, or Wiktionary
{
"etymology_text": "From the related concept of Poisson distribution (specifying a bounded subset of the domain of a Poisson process defines a random variable that has a Poisson distribution). See also stochastic process.",
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{
"ref": "1995, Randolph Nelson, Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, Springer, page 252:",
"text": "These properties are readily apparent when one considers that the Poisson process is derived from the binomial processes, which, as seen in Section 6.1, can be viewed in terms of coin tosses.",
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{
"text": "2012, Peter Guttorp, Thordis L. Thorarinsdottir, Chapter 4: Bayesian Inference for Non-Markovian Point Processes, Emilio Porcu, José–María Montero, Martin Schlather (editors), Advances and Challenges in Space-time Modelling of Natural Events, Springer, Lecture Notes in Statistics 207, page 88,\nThe doubly stochastic Poisson process, introduced by Cox in [9] and so named by Bartlett in [6] is obtained by letting the rate λ(t) of the Poisson process vary according to a stochastic process, say Λ(t). […] There are instances of doubly stochastic Poisson processes that are identical to cluster processes (for example, the shot noise process driven by a stationary Poisson process is identical to a Neyman-Scott Poisson cluster process, see p.171-172 in [12])."
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{
"ref": "2014, Oliver Ibe, Fundamentals of Applied Probability and Random Processes, Elsevier (Academic Press), page 415:",
"text": "University buses arrive at the Students Center to take students to their classes according to a Poisson process with an average rate of 5 buses per hour.",
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"A stochastic process in which events occur continually and independently of one another."
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"(mathematics, statistics, probability theory) A stochastic process in which events occur continually and independently of one another."
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"sense": "stochastic process of continuous, independent events",
"word": "Poisson point field"
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"sense": "stochastic process of continuous, independent events",
"word": "Poisson point process"
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"sense": "stochastic process",
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"word": "Poisson-Prozess"
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"roman": "tahalích poasón",
"sense": "stochastic process",
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"word": "תהליך פואסון"
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"sense": "stochastic process",
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"word": "processo di Poisson"
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"word": "ポアソン過程"
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"word": "Poisson process"
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"etymology_text": "From the related concept of Poisson distribution (specifying a bounded subset of the domain of a Poisson process defines a random variable that has a Poisson distribution). See also stochastic process.",
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"ref": "1995, Randolph Nelson, Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, Springer, page 252:",
"text": "These properties are readily apparent when one considers that the Poisson process is derived from the binomial processes, which, as seen in Section 6.1, can be viewed in terms of coin tosses.",
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"text": "2012, Peter Guttorp, Thordis L. Thorarinsdottir, Chapter 4: Bayesian Inference for Non-Markovian Point Processes, Emilio Porcu, José–María Montero, Martin Schlather (editors), Advances and Challenges in Space-time Modelling of Natural Events, Springer, Lecture Notes in Statistics 207, page 88,\nThe doubly stochastic Poisson process, introduced by Cox in [9] and so named by Bartlett in [6] is obtained by letting the rate λ(t) of the Poisson process vary according to a stochastic process, say Λ(t). […] There are instances of doubly stochastic Poisson processes that are identical to cluster processes (for example, the shot noise process driven by a stationary Poisson process is identical to a Neyman-Scott Poisson cluster process, see p.171-172 in [12])."
},
{
"ref": "2014, Oliver Ibe, Fundamentals of Applied Probability and Random Processes, Elsevier (Academic Press), page 415:",
"text": "University buses arrive at the Students Center to take students to their classes according to a Poisson process with an average rate of 5 buses per hour.",
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"sense": "stochastic process",
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"word": "Poisson-Prozess"
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{
"code": "he",
"lang": "Hebrew",
"roman": "tahalích poasón",
"sense": "stochastic process",
"tags": [
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],
"word": "תהליך פואסון"
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{
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"sense": "stochastic process",
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"word": "processo di Poisson"
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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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