Stable process (original) (raw)

About DBpedia

In probability theory, a stable process is a type of stochastic process. It includes stochastic processes whose associated probability distributions are stable distributions. Examples of stable processes include the Wiener process, or Brownian motion, whose associated probability distribution is the normal distribution. They also include the Cauchy process. For the symmetric Cauchy process, the associated probability distribution is the Cauchy distribution. The degenerate case, where there is no random element, i.e., , where is a constant, is also a stable process.

Property Value
dbo:abstract In probability theory, a stable process is a type of stochastic process. It includes stochastic processes whose associated probability distributions are stable distributions. Examples of stable processes include the Wiener process, or Brownian motion, whose associated probability distribution is the normal distribution. They also include the Cauchy process. For the symmetric Cauchy process, the associated probability distribution is the Cauchy distribution. The degenerate case, where there is no random element, i.e., , where is a constant, is also a stable process. (en)
dbo:wikiPageID 38455452 (xsd:integer)
dbo:wikiPageLength 956 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID 759541416 (xsd:integer)
dbo:wikiPageWikiLink dbr:Probability_distribution dbr:Cauchy_distribution dbr:Normal_distribution dbr:Cauchy_process dbr:Probability dbr:Wiener_process dbr:Stable_distributions dbr:Brownian_motion dbc:Lévy_processes dbr:Stochastic_process
dbp:wikiPageUsesTemplate dbt:Reflist dbt:Stochastic_processes
dct:subject dbc:Lévy_processes
rdfs:comment In probability theory, a stable process is a type of stochastic process. It includes stochastic processes whose associated probability distributions are stable distributions. Examples of stable processes include the Wiener process, or Brownian motion, whose associated probability distribution is the normal distribution. They also include the Cauchy process. For the symmetric Cauchy process, the associated probability distribution is the Cauchy distribution. The degenerate case, where there is no random element, i.e., , where is a constant, is also a stable process. (en)
rdfs:label Stable process (en)
owl:sameAs freebase:Stable process yago-res:Stable process wikidata:Stable process https://global.dbpedia.org/id/4vmj7
prov:wasDerivedFrom wikipedia-en:Stable_process?oldid=759541416&ns=0
foaf:isPrimaryTopicOf wikipedia-en:Stable_process
is dbo:wikiPageWikiLink of dbr:Engelbert–Schmidt_zero–one_law dbr:Ancestral_reconstruction dbr:Cauchy_distribution dbr:Cauchy_process
is foaf:primaryTopic of wikipedia-en:Stable_process