See Poisson distribution in All languages combined, or Wiktionary
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{
"etymology_text": "After French mathematician Siméon Denis Poisson (1781-1840), who introduced the distribution in his 1837 work Recherches sur la probabilité des jugements en matière criminelle et en matière civile (\"Research on the Probability of Judgements in Criminal and Civil Matters\"), although prior work had been done by Abraham de Moivre.",
"forms": [
{
"form": "Poisson distributions",
"tags": [
"plural"
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"expansion": "Poisson distribution (plural Poisson distributions)",
"name": "en-noun"
}
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
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"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Functions",
"orig": "en:Functions",
"parents": [
"Algebra",
"Calculus",
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
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{
"kind": "topical",
"langcode": "en",
"name": "Statistics",
"orig": "en:Statistics",
"parents": [
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"Fundamental"
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"examples": [
{
"ref": "1993, Rolf-Dieter Reiss, A Course on Point Processes, Springer, page 62",
"text": "For the modeling of many phenomena there is a need for enlarging the family of Poisson distributions. One possibility of doing this is the use of mixed Poisson distributions (outlined above).",
"type": "quotation"
},
{
"ref": "2000, Michael C. Fleming, Joseph G. Nellis, Principles of Applied Statistics: An Integrated Approach Using MINITAB and Excel, 2nd edition, Thomson, page 116",
"text": "It is worth noting, therefore, that unlike the binomial distribution in which we are interested in observing both 'success' and 'failure', the application of the Poisson distribution is concerned only with occurrences rather than non-occurrences.",
"type": "quotation"
},
{
"ref": "2007, “4: Order Statistics for Decoding of Spike Trains”, in Kenji Doya, Shin Ashii, Alexandre Pouget, Rajesh P. N. Rao, editors, Bayesian Brain: Probabilistic Approaches to Neural Coding, The MIT Press, page 83",
"text": "A mixture of Poisson processes will have a spike count described by a mixture of Poisson distributions. A model allowing a mixture of a few Poisson distributions adds substantial flexibility, while keeping the calculations reasonably simple.",
"type": "quotation"
},
{
"ref": "2017, William Q. Meeker, Gerald J. Hahn, Luis A. Escobar, Statistical Intervals: A Guide for Practitioners and Researchers, 2nd edition, Wiley, page 128",
"text": "As indicated, problems involving the number of occurrences of independent, randomly occurring events per unit of space or time can often be modeled with the Poisson distribution.",
"type": "quotation"
}
],
"glosses": [
"Any of a class of discrete probability distributions that express the probability of a given number of events occurring in a fixed time interval, where the events occur independently and at a constant average rate; describable as a limit case of either binomial or negative binomial distributions."
],
"id": "en-Poisson_distribution-en-noun-OJmGusQz",
"links": [
[
"statistics",
"statistics"
],
[
"discrete",
"discrete"
],
[
"probability",
"probability"
],
[
"distribution",
"distribution"
],
[
"binomial",
"binomial distribution"
],
[
"negative binomial distribution",
"negative binomial distribution"
]
],
"raw_glosses": [
"(statistics) Any of a class of discrete probability distributions that express the probability of a given number of events occurring in a fixed time interval, where the events occur independently and at a constant average rate; describable as a limit case of either binomial or negative binomial distributions."
],
"related": [
{
"word": "Poisson process"
},
{
"word": "exponential distribution"
}
],
"topics": [
"mathematics",
"sciences",
"statistics"
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "probability distribution",
"tags": [
"neuter"
],
"word": "Poissonovo rozdělení"
},
{
"code": "gl",
"lang": "Galician",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribución de Poisson"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "probability distribution",
"word": "Poisson-eloszlás"
},
{
"code": "it",
"lang": "Italian",
"sense": "probability distribution",
"word": "distribuzione di Poisson"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "probability distribution",
"word": "ポアソン分布"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție Poisson"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "probability distribution",
"tags": [
"common-gender"
],
"word": "Poissonfördelning"
}
],
"wikipedia": [
"Abraham de Moivre",
"Poisson distribution",
"Siméon Denis Poisson"
]
}
],
"word": "Poisson distribution"
}
{
"etymology_text": "After French mathematician Siméon Denis Poisson (1781-1840), who introduced the distribution in his 1837 work Recherches sur la probabilité des jugements en matière criminelle et en matière civile (\"Research on the Probability of Judgements in Criminal and Civil Matters\"), although prior work had been done by Abraham de Moivre.",
"forms": [
{
"form": "Poisson distributions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Poisson distribution (plural Poisson distributions)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "Poisson process"
},
{
"word": "exponential distribution"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
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"examples": [
{
"ref": "1993, Rolf-Dieter Reiss, A Course on Point Processes, Springer, page 62",
"text": "For the modeling of many phenomena there is a need for enlarging the family of Poisson distributions. One possibility of doing this is the use of mixed Poisson distributions (outlined above).",
"type": "quotation"
},
{
"ref": "2000, Michael C. Fleming, Joseph G. Nellis, Principles of Applied Statistics: An Integrated Approach Using MINITAB and Excel, 2nd edition, Thomson, page 116",
"text": "It is worth noting, therefore, that unlike the binomial distribution in which we are interested in observing both 'success' and 'failure', the application of the Poisson distribution is concerned only with occurrences rather than non-occurrences.",
"type": "quotation"
},
{
"ref": "2007, “4: Order Statistics for Decoding of Spike Trains”, in Kenji Doya, Shin Ashii, Alexandre Pouget, Rajesh P. N. Rao, editors, Bayesian Brain: Probabilistic Approaches to Neural Coding, The MIT Press, page 83",
"text": "A mixture of Poisson processes will have a spike count described by a mixture of Poisson distributions. A model allowing a mixture of a few Poisson distributions adds substantial flexibility, while keeping the calculations reasonably simple.",
"type": "quotation"
},
{
"ref": "2017, William Q. Meeker, Gerald J. Hahn, Luis A. Escobar, Statistical Intervals: A Guide for Practitioners and Researchers, 2nd edition, Wiley, page 128",
"text": "As indicated, problems involving the number of occurrences of independent, randomly occurring events per unit of space or time can often be modeled with the Poisson distribution.",
"type": "quotation"
}
],
"glosses": [
"Any of a class of discrete probability distributions that express the probability of a given number of events occurring in a fixed time interval, where the events occur independently and at a constant average rate; describable as a limit case of either binomial or negative binomial distributions."
],
"links": [
[
"statistics",
"statistics"
],
[
"discrete",
"discrete"
],
[
"probability",
"probability"
],
[
"distribution",
"distribution"
],
[
"binomial",
"binomial distribution"
],
[
"negative binomial distribution",
"negative binomial distribution"
]
],
"raw_glosses": [
"(statistics) Any of a class of discrete probability distributions that express the probability of a given number of events occurring in a fixed time interval, where the events occur independently and at a constant average rate; describable as a limit case of either binomial or negative binomial distributions."
],
"topics": [
"mathematics",
"sciences",
"statistics"
],
"wikipedia": [
"Abraham de Moivre",
"Poisson distribution",
"Siméon Denis Poisson"
]
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "probability distribution",
"tags": [
"neuter"
],
"word": "Poissonovo rozdělení"
},
{
"code": "gl",
"lang": "Galician",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribución de Poisson"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "probability distribution",
"word": "Poisson-eloszlás"
},
{
"code": "it",
"lang": "Italian",
"sense": "probability distribution",
"word": "distribuzione di Poisson"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "probability distribution",
"word": "ポアソン分布"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "probability distribution",
"tags": [
"feminine"
],
"word": "distribuție Poisson"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "probability distribution",
"tags": [
"common-gender"
],
"word": "Poissonfördelning"
}
],
"word": "Poisson distribution"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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