See normal distribution on Wiktionary
{ "forms": [ { "form": "normal distributions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "normal distribution (plural normal distributions)", "name": "en-noun" } ], "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" ], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Mandarin terms with redundant transliterations", "parents": [ "Terms with redundant transliterations", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Azerbaijani translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Danish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Dutch translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Estonian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Georgian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Hokkien translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Hungarian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Indonesian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Kazakh translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Latin translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Lithuanian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Malay translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Marathi translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Norwegian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Persian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Portuguese translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Slovak translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Tagalog translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Thai translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Ukrainian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Vietnamese translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Welsh translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Curves", "orig": "en:Curves", "parents": [ "Shapes", "Geometry", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Probability theory", "orig": "en:Probability theory", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Statistics", "orig": "en:Statistics", "parents": [ "Formal sciences", "Mathematics", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "derived": [ { "word": "bivariate normal distribution" }, { "word": "log normal distribution" }, { "word": "skew normal distribution" }, { "word": "standard normal distribution" } ], "examples": [ { "text": "φ_(μ,σ²)(x)=1/(σ√),e²)/(2σ²))=1/σφ((x-μ)/σ), x∈ℝ." }, { "ref": "2008, James L. Johnson, Probability and Statistics for Computer Science, Wiley, page 437:", "text": "It begins with the normal distribution, which is the limiting form of the sample sum over an arbitrary population.", "type": "quote" }, { "ref": "2012, Larry Pace, Beginning R: An Introduction to Statistical Programming, Apress, page 103:", "text": "The normal distribution is the backbone of traditional statistics. We learn very early in our statistics training that the distribution of sample means, regardless of the shape of the parent distribution, approaches a normal distribution as the sample size increases.", "type": "quote" }, { "ref": "2014, Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil, Normal and Student's t Distributions and Their Applications, Springer (Atlantis Press), page 7:", "text": "The development of the general theories of the normal distributions began with the work of de Moivre (1733, 1738) in his studies of approximations to certain binomial distributions for large positive integer n > 0.", "type": "quote" } ], "glosses": [ "Any of a family of continuous probability distributions such that the probability density function is the Gaussian function" ], "id": "en-normal_distribution-en-noun-a-An4FL8", "links": [ [ "statistics", "statistics" ], [ "probability distribution", "probability distribution" ], [ "probability density function", "probability density function" ], [ "Gaussian function", "Gaussian function" ] ], "raw_glosses": [ "(statistics) Any of a family of continuous probability distributions such that the probability density function is the Gaussian function" ], "related": [ { "word": "central limit theorem" }, { "word": "standard normal deviate" } ], "synonyms": [ { "tags": [ "informal" ], "word": "bell curve" }, { "word": "Gaussian distribution" } ], "topics": [ "mathematics", "sciences", "statistics" ], "translations": [ { "code": "az", "lang": "Azerbaijani", "sense": "probability distribution", "word": "normal paylanma" }, { "code": "nan-hbl", "lang": "Chinese", "sense": "probability distribution", "tags": [ "Hokkien" ], "word": "常態分佈" }, { "code": "nan-hbl", "lang": "Chinese", "roman": "siông-thài hun-pò͘", "sense": "probability distribution", "tags": [ "Hokkien" ], "word": "常态分布" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "probability distribution", "word": "正態分佈" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "zhèngtài fēnbù", "sense": "probability distribution", "tags": [ "Mainland-China" ], "word": "正态分布" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "probability distribution", "word": "常態分佈" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "chángtài fēnbù", "sense": "probability distribution", "tags": [ "Taiwan" ], "word": "常态分布" }, { "code": "cs", "lang": "Czech", "sense": "probability distribution", "tags": [ "neuter" ], "word": "normální rozdělení" }, { "code": "da", "lang": "Danish", "sense": "probability distribution", "word": "normalfordeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "normaalverdeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "normale verdeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "gaussverdeling" }, { "code": "et", "lang": "Estonian", "sense": "probability distribution", "word": "normaaljaotus" }, { "code": "fi", "lang": "Finnish", "sense": "probability distribution", "word": "normaalijakauma" }, { "code": "fr", "lang": "French", "sense": "probability distribution", "tags": [ "feminine" ], "word": "loi normale" }, { "code": "ka", "lang": "Georgian", "roman": "normaluri ganac̣ileba", "sense": "probability distribution", "word": "ნორმალური განაწილება" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Normalverteilung" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Gauß-Verteilung" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "normális eloszlás" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "Gauss-eloszlás" }, { "code": "is", "lang": "Icelandic", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Gauss-dreifing" }, { "code": "is", "lang": "Icelandic", "sense": "probability distribution", "tags": [ "feminine" ], "word": "normaldreifing" }, { "code": "id", "lang": "Indonesian", "sense": "probability distribution", "word": "distribusi normal" }, { "code": "it", "lang": "Italian", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuzione normale" }, { "code": "kk", "lang": "Kazakh", "roman": "qalypty dispersiä", "sense": "probability distribution", "word": "қалыпты дисперсия" }, { "code": "la", "lang": "Latin", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distributio normalis" }, { "code": "lt", "lang": "Lithuanian", "sense": "probability distribution", "word": "normalusis skirstinys" }, { "code": "ms", "lang": "Malay", "sense": "probability distribution", "word": "taburan normal" }, { "code": "mr", "lang": "Marathi", "roman": "sāmānya vitraṇ", "sense": "probability distribution", "word": "सामान्य वितरण" }, { "code": "no", "lang": "Norwegian", "sense": "probability distribution", "tags": [ "masculine" ], "word": "normalfordeling" }, { "code": "fa", "lang": "Persian", "sense": "probability distribution", "word": "توزیع نرمال" }, { "code": "pl", "lang": "Polish", "sense": "probability distribution", "tags": [ "masculine" ], "word": "rozkład normalny" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição normal" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição gaussiana" }, { "code": "ru", "lang": "Russian", "roman": "normalʹnoje raspredelenije", "sense": "probability distribution", "tags": [ "neuter" ], "word": "нормальное распределение" }, { "code": "sk", "lang": "Slovak", "sense": "probability distribution", "tags": [ "neuter" ], "word": "normálne rozdelenie" }, { "code": "es", "lang": "Spanish", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribución normal" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "normalfördelning" }, { "code": "tl", "lang": "Tagalog", "sense": "probability distribution", "word": "daniwing pamamahagi" }, { "code": "th", "lang": "Thai", "sense": "probability distribution", "word": "การแจกแจงปรกติ" }, { "code": "uk", "lang": "Ukrainian", "roman": "normálʹnyj rozpódil", "sense": "probability distribution", "tags": [ "masculine" ], "word": "норма́льний розпо́діл" }, { "code": "vi", "lang": "Vietnamese", "sense": "probability distribution", "word": "phân phối chuẩn" }, { "code": "cy", "lang": "Welsh", "sense": "probability distribution", "word": "dosraniad normal" } ], "wikipedia": [ "normal distribution" ] } ], "word": "normal distribution" }
{ "derived": [ { "word": "bivariate normal distribution" }, { "word": "log normal distribution" }, { "word": "skew normal distribution" }, { "word": "standard normal distribution" } ], "forms": [ { "form": "normal distributions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "normal distribution (plural normal distributions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "central limit theorem" }, { "word": "standard normal deviate" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with quotations", "Entries with translation boxes", "Mandarin terms with redundant transliterations", "Pages with 1 entry", "Pages with entries", "Terms with Azerbaijani translations", "Terms with Czech translations", "Terms with Danish translations", "Terms with Dutch translations", "Terms with Estonian translations", "Terms with Finnish translations", "Terms with French translations", "Terms with Georgian translations", "Terms with German translations", "Terms with Hokkien translations", "Terms with Hungarian translations", "Terms with Icelandic translations", "Terms with Indonesian translations", "Terms with Italian translations", "Terms with Kazakh translations", "Terms with Latin translations", "Terms with Lithuanian translations", "Terms with Malay translations", "Terms with Mandarin translations", "Terms with Marathi translations", "Terms with Norwegian translations", "Terms with Persian translations", "Terms with Polish translations", "Terms with Portuguese translations", "Terms with Russian translations", "Terms with Slovak translations", "Terms with Spanish translations", "Terms with Swedish translations", "Terms with Tagalog translations", "Terms with Thai translations", "Terms with Ukrainian translations", "Terms with Vietnamese translations", "Terms with Welsh translations", "en:Curves", "en:Functions", "en:Probability theory", "en:Statistics" ], "examples": [ { "text": "φ_(μ,σ²)(x)=1/(σ√),e²)/(2σ²))=1/σφ((x-μ)/σ), x∈ℝ." }, { "ref": "2008, James L. Johnson, Probability and Statistics for Computer Science, Wiley, page 437:", "text": "It begins with the normal distribution, which is the limiting form of the sample sum over an arbitrary population.", "type": "quote" }, { "ref": "2012, Larry Pace, Beginning R: An Introduction to Statistical Programming, Apress, page 103:", "text": "The normal distribution is the backbone of traditional statistics. We learn very early in our statistics training that the distribution of sample means, regardless of the shape of the parent distribution, approaches a normal distribution as the sample size increases.", "type": "quote" }, { "ref": "2014, Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil, Normal and Student's t Distributions and Their Applications, Springer (Atlantis Press), page 7:", "text": "The development of the general theories of the normal distributions began with the work of de Moivre (1733, 1738) in his studies of approximations to certain binomial distributions for large positive integer n > 0.", "type": "quote" } ], "glosses": [ "Any of a family of continuous probability distributions such that the probability density function is the Gaussian function" ], "links": [ [ "statistics", "statistics" ], [ "probability distribution", "probability distribution" ], [ "probability density function", "probability density function" ], [ "Gaussian function", "Gaussian function" ] ], "raw_glosses": [ "(statistics) Any of a family of continuous probability distributions such that the probability density function is the Gaussian function" ], "synonyms": [ { "tags": [ "informal" ], "word": "bell curve" }, { "word": "Gaussian distribution" } ], "topics": [ "mathematics", "sciences", "statistics" ], "wikipedia": [ "normal distribution" ] } ], "translations": [ { "code": "az", "lang": "Azerbaijani", "sense": "probability distribution", "word": "normal paylanma" }, { "code": "nan-hbl", "lang": "Chinese", "sense": "probability distribution", "tags": [ "Hokkien" ], "word": "常態分佈" }, { "code": "nan-hbl", "lang": "Chinese", "roman": "siông-thài hun-pò͘", "sense": "probability distribution", "tags": [ "Hokkien" ], "word": "常态分布" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "probability distribution", "word": "正態分佈" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "zhèngtài fēnbù", "sense": "probability distribution", "tags": [ "Mainland-China" ], "word": "正态分布" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "probability distribution", "word": "常態分佈" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "chángtài fēnbù", "sense": "probability distribution", "tags": [ "Taiwan" ], "word": "常态分布" }, { "code": "cs", "lang": "Czech", "sense": "probability distribution", "tags": [ "neuter" ], "word": "normální rozdělení" }, { "code": "da", "lang": "Danish", "sense": "probability distribution", "word": "normalfordeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "normaalverdeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "normale verdeling" }, { "code": "nl", "lang": "Dutch", "sense": "probability distribution", "word": "gaussverdeling" }, { "code": "et", "lang": "Estonian", "sense": "probability distribution", "word": "normaaljaotus" }, { "code": "fi", "lang": "Finnish", "sense": "probability distribution", "word": "normaalijakauma" }, { "code": "fr", "lang": "French", "sense": "probability distribution", "tags": [ "feminine" ], "word": "loi normale" }, { "code": "ka", "lang": "Georgian", "roman": "normaluri ganac̣ileba", "sense": "probability distribution", "word": "ნორმალური განაწილება" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Normalverteilung" }, { "code": "de", "lang": "German", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Gauß-Verteilung" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "normális eloszlás" }, { "code": "hu", "lang": "Hungarian", "sense": "probability distribution", "word": "Gauss-eloszlás" }, { "code": "is", "lang": "Icelandic", "sense": "probability distribution", "tags": [ "feminine" ], "word": "Gauss-dreifing" }, { "code": "is", "lang": "Icelandic", "sense": "probability distribution", "tags": [ "feminine" ], "word": "normaldreifing" }, { "code": "id", "lang": "Indonesian", "sense": "probability distribution", "word": "distribusi normal" }, { "code": "it", "lang": "Italian", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuzione normale" }, { "code": "kk", "lang": "Kazakh", "roman": "qalypty dispersiä", "sense": "probability distribution", "word": "қалыпты дисперсия" }, { "code": "la", "lang": "Latin", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distributio normalis" }, { "code": "lt", "lang": "Lithuanian", "sense": "probability distribution", "word": "normalusis skirstinys" }, { "code": "ms", "lang": "Malay", "sense": "probability distribution", "word": "taburan normal" }, { "code": "mr", "lang": "Marathi", "roman": "sāmānya vitraṇ", "sense": "probability distribution", "word": "सामान्य वितरण" }, { "code": "no", "lang": "Norwegian", "sense": "probability distribution", "tags": [ "masculine" ], "word": "normalfordeling" }, { "code": "fa", "lang": "Persian", "sense": "probability distribution", "word": "توزیع نرمال" }, { "code": "pl", "lang": "Polish", "sense": "probability distribution", "tags": [ "masculine" ], "word": "rozkład normalny" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição normal" }, { "code": "pt", "lang": "Portuguese", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribuição gaussiana" }, { "code": "ru", "lang": "Russian", "roman": "normalʹnoje raspredelenije", "sense": "probability distribution", "tags": [ "neuter" ], "word": "нормальное распределение" }, { "code": "sk", "lang": "Slovak", "sense": "probability distribution", "tags": [ "neuter" ], "word": "normálne rozdelenie" }, { "code": "es", "lang": "Spanish", "sense": "probability distribution", "tags": [ "feminine" ], "word": "distribución normal" }, { "code": "sv", "lang": "Swedish", "sense": "probability distribution", "tags": [ "common-gender" ], "word": "normalfördelning" }, { "code": "tl", "lang": "Tagalog", "sense": "probability distribution", "word": "daniwing pamamahagi" }, { "code": "th", "lang": "Thai", "sense": "probability distribution", "word": "การแจกแจงปรกติ" }, { "code": "uk", "lang": "Ukrainian", "roman": "normálʹnyj rozpódil", "sense": "probability distribution", "tags": [ "masculine" ], "word": "норма́льний розпо́діл" }, { "code": "vi", "lang": "Vietnamese", "sense": "probability distribution", "word": "phân phối chuẩn" }, { "code": "cy", "lang": "Welsh", "sense": "probability distribution", "word": "dosraniad normal" } ], "word": "normal distribution" }
Download raw JSONL data for normal distribution meaning in All languages combined (9.0kB)
This page is a part of the kaikki.org machine-readable All languages combined 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.