How much randomness is needed for statistics?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00430391" target="_blank" >RIV/67985840:_____/14:00430391 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apal.2014.04.014" target="_blank" >http://dx.doi.org/10.1016/j.apal.2014.04.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apal.2014.04.014" target="_blank" >10.1016/j.apal.2014.04.014</a>
Alternative languages
Result language
angličtina
Original language name
How much randomness is needed for statistics?
Original language description
In algorithmic randomness, when one wants to define a randomness notion with respect to some non-computable measure lambda, a choice needs to be made. One approach is to allow randomness tests to access the measure lambda 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 lambda (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-Lof randomness and the measure lambda is a Bernoulli measure, classicalrandomness 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Pure and Applied Logic
ISSN
0168-0072
e-ISSN
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Volume of the periodical
165
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
1470-1483
UT code for WoS article
000337869300008
EID of the result in the Scopus database
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