This HTML5 document contains 79 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dbpedia-slhttp://sl.dbpedia.org/resource/
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
n26http://dbpedia.org/resource/File:
foafhttp://xmlns.com/foaf/0.1/
n12https://global.dbpedia.org/id/
n22http://reference.wolfram.com/mathematica/ref/
n27https://web.archive.org/web/20051224230956/http:/mcmcpack.wustl.edu/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
n19http://www.agner.org/random/theory/
n15http://commons.wikimedia.org/wiki/Special:FilePath/
n17https://cran.r-project.org/web/packages/BiasedUrn/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n18http://www.agner.org/random/
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
dbchttp://dbpedia.org/resource/Category:
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
n13https://pure.rug.nl/ws/files/14664895/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Ronald_Fisher
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
dbp:knownFor
dbr:Fisher's_noncentral_hypergeometric_distribution
dbo:knownFor
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:List_of_probability_distributions
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Hypergeometric_distribution
rdfs:seeAlso
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Fisher_distribution
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Wallenius'_noncentral_hypergeometric_distribution
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:List_of_statistics_articles
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Fisher's_noncentral_hypergeometric_distribution
rdf:type
yago:Abstraction100002137 yago:Arrangement105726596 yago:Structure105726345 yago:Distribution105729036 yago:WikicatProbabilityDistributions yago:Cognition100023271 yago:PsychologicalFeature100023100 yago:WikicatDiscreteDistributions
rdfs:label
Fisher's noncentral hypergeometric distribution
rdfs:comment
In probability theory and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities are modified by weight factors. It can also be defined as the conditional distribution of two or more binomially distributed variables dependent upon their fixed sum. The two distributions are both equal to the (central) hypergeometric distribution when the odds ratio is 1.
dbp:name
Univariate Fisher's noncentral hypergeometric distribution Multivariate Fisher's Noncentral Hypergeometric Distribution
foaf:depiction
n15:FishersNoncentralHypergeometric1.png n15:Youngronaldfisher2.jpg
dcterms:subject
dbc:Discrete_distributions
dbo:wikiPageID
11962384
dbo:wikiPageRevisionID
1004931849
dbo:wikiPageWikiLink
dbr:Wallenius'_noncentral_hypergeometric_distribution dbr:SAS_System dbr:Biased_sample dbr:Binomial_distribution dbr:Contingency_table dbr:Conditional_probability_distribution dbr:Fisher's_exact_test dbr:C++ dbr:Hypergeometric_distribution dbr:Probability_theory dbr:Bias_(statistics) dbr:Mathematica dbr:Quantile dbr:Urn_problem dbr:R_(programming_language) dbr:Statistics dbc:Discrete_distributions n26:Youngronaldfisher2.JPG dbr:Random_variable n26:FishersNoncentralHypergeometric1.png dbr:Noncentral_hypergeometric_distributions
dbo:wikiPageExternalLink
n13:2010-EisingaR-Saddlepoint.pdf n17:index.html n18: n19: n22:FisherHypergeometricDistribution.html n27:
owl:sameAs
yago-res:Fisher's_noncentral_hypergeometric_distribution wikidata:Q5454741 n12:4jrh3 dbpedia-sl:Fisherjeva_necentralna_hipergeometrična_porazdelitev freebase:m.02rzthn
dbp:variance
, where Pk is given above.
dbp:wikiPageUsesTemplate
dbt:Diagonal_split_header dbt:Clear dbt:Citation dbt:Probability_distribution dbt:ProbDistributions
dbo:thumbnail
n15:FishersNoncentralHypergeometric1.png?width=300
dbp:type
mass
dbp:mode
, where , , .
dbo:abstract
In probability theory and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities are modified by weight factors. It can also be defined as the conditional distribution of two or more binomially distributed variables dependent upon their fixed sum. The distribution may be illustrated by the following urn model. Assume, for example, that an urn contains m1 red balls and m2 white balls, totalling N = m1 + m2 balls. Each red ball has the weight ω1 and each white ball has the weight ω2. We will say that the odds ratio is ω = ω1 / ω2. Now we are taking balls randomly in such a way that the probability of taking a particular ball is proportional to its weight, but independent of what happens to the other balls. The number of balls taken of a particular color follows the binomial distribution. If the total number n of balls taken is known then the conditional distribution of the number of taken red balls for given n is Fisher's noncentral hypergeometric distribution. To generate this distribution experimentally, we have to repeat the experiment until it happens to give n balls. If we want to fix the value of n prior to the experiment then we have to take the balls one by one until we have n balls. The balls are therefore no longer independent. This gives a slightly different distribution known as Wallenius' noncentral hypergeometric distribution. It is far from obvious why these two distributions are different. See the entry for noncentral hypergeometric distributions for an explanation of the difference between these two distributions and a discussion of which distribution to use in various situations. The two distributions are both equal to the (central) hypergeometric distribution when the odds ratio is 1. Unfortunately, both distributions are known in the literature as "the" noncentral hypergeometric distribution. It is important to be specific about which distribution is meant when using this name. Fisher's noncentral hypergeometric distribution was first given the name extended hypergeometric distribution (Harkness, 1965), and some authors still use this name today.
dbp:mean
where r is the unique positive solution to . The mean μi of xi can be approximated by , where
dbp:pdf
where
gold:hypernym
dbr:Generalization
prov:wasDerivedFrom
wikipedia-en:Fisher's_noncentral_hypergeometric_distribution?oldid=1004931849&ns=0
dbo:wikiPageLength
16597
foaf:isPrimaryTopicOf
wikipedia-en:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Noncentral_hypergeometric_distributions
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
dbr:Extended_hypergeometric_distribution
dbo:wikiPageWikiLink
dbr:Fisher's_noncentral_hypergeometric_distribution
dbo:wikiPageRedirects
dbr:Fisher's_noncentral_hypergeometric_distribution
Subject Item
wikipedia-en:Fisher's_noncentral_hypergeometric_distribution
foaf:primaryTopic
dbr:Fisher's_noncentral_hypergeometric_distribution