About: How much randomness is needed for statistics?

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In algorithmic randomness, when one wants to define a randomness notion with respect to some non-computable measure λ, a choice needs to be made. One approach is to allow randomness tests to access the measure λ as an oracle (which we call the “classical approach). The other approach is the opposite one, where the randomness tests are completely effective and do not have access to the information contained in λ (we call this approach “Hippocratic). While the Hippocratic approach is in general much more restrictive, there are cases where the two coincide. The first author showed in 2010 that in the particular case where the notion of randomness considered is Martin-Löf randomness and the measure λ is a Bernoulli measure, classical randomness and Hippocratic randomness coincide. In this paper, we prove that this result no longer holds for other notions of randomness, namely computable randomness and stochasticity. In algorithmic randomness, when one wants to define a randomness notion with respect to some non-computable measure λ, a choice needs to be made. One approach is to allow randomness tests to access the measure λ as an oracle (which we call the “classical approach). The other approach is the opposite one, where the randomness tests are completely effective and do not have access to the information contained in λ (we call this approach “Hippocratic). While the Hippocratic approach is in general much more restrictive, there are cases where the two coincide. The first author showed in 2010 that in the particular case where the notion of randomness considered is Martin-Löf randomness and the measure λ is a Bernoulli measure, classical randomness and Hippocratic randomness coincide. In this paper, we prove that this result no longer holds for other notions of randomness, namely computable randomness and stochasticity. (en)
Title	How much randomness is needed for statistics? How much randomness is needed for statistics? (en)
skos:prefLabel	How much randomness is needed for statistics? How much randomness is needed for statistics? (en)
skos:notation	RIV/67985840:_____/12:00385834!RIV13-AV0-67985840
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GBP202/12/G061), P(IAA100190902)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Thapen, Neil
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	139684
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/12:00385834
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	algorithm analysis and problem complexity; computing; symbolic and algebraic manipulation (en)
http://linked.open.../riv/klicoveSlovo	computing algorithm analysis and problem complexity symbolic and algebraic manipulation
http://linked.open...ontrolniKodProRIV	[1E5707CBCEF8]
http://linked.open...v/mistoKonaniAkce	Cambridge
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	How the World Computes
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Center of excellence - Institute for theoretical computer science (CE-ITI) Mathematical logic, complexity, and algorithms
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Thapen, Neil Kjos-Hanssen, B. Taveneaux, A.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-06-18 (xsd:date)
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-30870-3_40
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-30869-7

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