About: Cantor distribution

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Cantor distribution Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : el.dbpedia.org associated with source document(s)

The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a probability density function nor a probability mass function, since although its cumulative distribution function is a continuous function, the distribution is not absolutely continuous with respect to Lebesgue measure, nor does it have any point-masses. It is thus neither a discrete nor an absolutely continuous probability distribution, nor is it a mixture of these. Rather it is an example of a singular distribution.

Attributes	Values
rdfs:label	Cantor distribution (en)
rdfs:comment	The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a probability density function nor a probability mass function, since although its cumulative distribution function is a continuous function, the distribution is not absolutely continuous with respect to Lebesgue measure, nor does it have any point-masses. It is thus neither a discrete nor an absolutely continuous probability distribution, nor is it a mixture of these. Rather it is an example of a singular distribution. (en)
sameAs	Cantor distribution Cantor distribution
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_news dbt:Clear dbt:ProbDistributions dbt:Refimprove dbt:Reflist dbt:Short_description dbt:Probability_distribution
Subject	Continuous distributions Georg Cantor
Link from a Wikipage to an external page	https://archive.org/details/realabstractanal00hewi_0
thumbnail	wiki-commons:Special:FilePath/CantorEscalier-2.svg?width=300
foaf:depiction
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Cantor_distribution?oldid=1029725713&ns=0
Wikipage page ID	387941 (xsd:integer)
page length (characters) of wiki page	6027 (xsd:nonNegativeInteger)
Wikipage revision ID	1029725713 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability density function Probability distribution Probability mass function Support (mathematics) Absolute continuity Bernoulli number Cantor function Cantor set Continuous distributions Central moment Georg Cantor Cumulant Cumulative distribution function Continuous function Expected value Variance Law of total variance Lebesgue measure Random variable Singular distribution Singular function
has abstract	The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a probability density function nor a probability mass function, since although its cumulative distribution function is a continuous function, the distribution is not absolutely continuous with respect to Lebesgue measure, nor does it have any point-masses. It is thus neither a discrete nor an absolutely continuous probability distribution, nor is it a mixture of these. Rather it is an example of a singular distribution. Its cumulative distribution function is continuous everywhere but horizontal almost everywhere, so is sometimes referred to as the Devil's staircase, although that term has a more general meaning. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Cantor_distribution
is Wikipage redirect of	Cantor measure
is Link from a Wikipage to another Wikipage of	List of statistics articles Nonparametric skew Cantor (disambiguation) Cantor function Catalog of articles in probability theory Georg Cantor List of probability distributions Conditioning (probability) Mode (statistics) Index of fractal-related articles Cantor measure Lebesgue's decomposition theorem
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Cantor_distribution

Faceted Search & Find service v1.17_git151 as of Feb 20 2025

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Nov 11 2024, on Linux (x86_64-ubuntu_focal-linux-gnu), Single-Server Edition (71 GB total memory, 1006 MB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software