About: Progressively measurable process

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In mathematics, progressive measurability is a property in the theory of stochastic processes. A progressively measurable process, while defined quite technically, is important because it implies the stopped process is measurable. Being progressively measurable is a strictly stronger property than the notion of being an adapted process. Progressively measurable processes are important in the theory of Itô integrals.

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rdfs:label	Progressiv messbarer stochastischer Prozess (de) Processus progressivement mesurable (fr) Progressively measurable process (en) Proces stochastyczny progresywnie mierzalny (pl) 循序可测过程 (zh)
rdfs:comment	Ein progressiv messbarer stochastischer Prozess ist ein stochastischer Prozess in der Wahrscheinlichkeitstheorie, der noch zusätzlichen Messbarkeitskriterien genügt. Progressiv messbare Prozesse sind eine Verschärfung von adaptierten Prozessen und treten beispielsweise bei der Untersuchung von Stoppzeiten auf. Ebenso spielen sie eine zentrale Rolle bei der Konstruktion des Itō-Integrals in der stochastischen Analysis. (de) In mathematics, progressive measurability is a property in the theory of stochastic processes. A progressively measurable process, while defined quite technically, is important because it implies the stopped process is measurable. Being progressively measurable is a strictly stronger property than the notion of being an adapted process. Progressively measurable processes are important in the theory of Itô integrals. (en) En mathématiques, un processus progressivement mesurable est un type de processus stochastique. Ce type de processus permet de démontrer qu'un processus arrêté est mesurable. (fr) Progresywna mierzalność – własność procesu stochastycznego, która jest silniejsza od adaptowania procesu do danej filtracji. (pl) 在数学中，循序可测是随机过程的一种性质。循序可测性质是随机过程研究中用到的一种重要性质，能够保证停过程的可测性。循序可测性比随机过程的适应性更加严格。循序可测过程在伊藤积分理论中有重要应用。 (zh)
dcterms:subject	Measure theory Stochastic processes
Wikipage page ID	6583544 (xsd:integer)
Wikipage revision ID	1100316545 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability space Càdlàg Sigma algebra Stopped process Continuous function Mathematics Measurable Equivalence class Stochastic processes Measurable function Measurable space Adapted process Itô integral Measure theory Stochastic processes Indicator function Brownian motion Stochastic process Borel sigma algebra Filtration (abstract algebra)
sameAs	Progressively measurable process Progressively measurable process Progressively measurable process Progressively measurable process Progressively measurable process Progressively measurable process Progressively measurable process Progressively measurable process
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has abstract	Ein progressiv messbarer stochastischer Prozess ist ein stochastischer Prozess in der Wahrscheinlichkeitstheorie, der noch zusätzlichen Messbarkeitskriterien genügt. Progressiv messbare Prozesse sind eine Verschärfung von adaptierten Prozessen und treten beispielsweise bei der Untersuchung von Stoppzeiten auf. Ebenso spielen sie eine zentrale Rolle bei der Konstruktion des Itō-Integrals in der stochastischen Analysis. (de) In mathematics, progressive measurability is a property in the theory of stochastic processes. A progressively measurable process, while defined quite technically, is important because it implies the stopped process is measurable. Being progressively measurable is a strictly stronger property than the notion of being an adapted process. Progressively measurable processes are important in the theory of Itô integrals. (en) En mathématiques, un processus progressivement mesurable est un type de processus stochastique. Ce type de processus permet de démontrer qu'un processus arrêté est mesurable. (fr) Progresywna mierzalność – własność procesu stochastycznego, która jest silniejsza od adaptowania procesu do danej filtracji. (pl) 在数学中，循序可测是随机过程的一种性质。循序可测性质是随机过程研究中用到的一种重要性质，能够保证停过程的可测性。循序可测性比随机过程的适应性更加严格。循序可测过程在伊藤积分理论中有重要应用。 (zh)
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is Link from a Wikipage to another Wikipage of	List of probability topics Adapted process Hitting time Catalog of articles in probability theory List of statistics articles Progressive measurability Progressively measurable Progressively measurable processes
is Wikipage redirect of	Progressive measurability Progressively measurable Progressively measurable processes
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