Matches in SemOpenAlex for { <https://semopenalex.org/work/W3135883299> ?p ?o ?g. }
- W3135883299 abstract "We use the martingale-theoretic approach of game-theoretic probability to incorporate imprecision into the study of randomness. In particular, we define several notions of randomness associated with interval, rather than precise, forecasting systems, and study their properties. The richer mathematical structure that thus arises lets us, amongst other things, better understand and place existing results for the precise limit. When we focus on constant interval forecasts, we find that every sequence of binary outcomes has an associated filter of intervals it is random for. It may happen that none of these intervals is precise -- a single real number -- which justifies the title of this paper. We illustrate this by showing that randomness associated with non-stationary precise forecasting systems can be captured by a constant interval forecast, which must then be less precise: a gain in model simplicity is thus paid for by a loss in precision. But imprecise randomness can't always be explained away as a result of oversimplification: we show that there are sequences that are random for a constant interval forecast, but never random for any {comp} (more) precise forecasting system. We also show that the set of sequences that are random for a non-vacuous interval forecasting system is meagre, as it is for precise forecasting systems." @default.
- W3135883299 created "2021-03-15" @default.
- W3135883299 creator A5007090019 @default.
- W3135883299 creator A5052699188 @default.
- W3135883299 date "2021-02-26" @default.
- W3135883299 modified "2023-09-27" @default.
- W3135883299 title "Randomness is inherently imprecise" @default.
- W3135883299 cites W1497475168 @default.
- W3135883299 cites W1574049752 @default.
- W3135883299 cites W1638203394 @default.
- W3135883299 cites W1884058963 @default.
- W3135883299 cites W1968293352 @default.
- W3135883299 cites W1971345547 @default.
- W3135883299 cites W1974443055 @default.
- W3135883299 cites W1983982412 @default.
- W3135883299 cites W2003250942 @default.
- W3135883299 cites W2005097301 @default.
- W3135883299 cites W2014073294 @default.
- W3135883299 cites W2020064362 @default.
- W3135883299 cites W2023943903 @default.
- W3135883299 cites W2032627084 @default.
- W3135883299 cites W2044864346 @default.
- W3135883299 cites W2045709959 @default.
- W3135883299 cites W2056099894 @default.
- W3135883299 cites W2067580807 @default.
- W3135883299 cites W2073512429 @default.
- W3135883299 cites W2073939257 @default.
- W3135883299 cites W2075911929 @default.
- W3135883299 cites W2103502708 @default.
- W3135883299 cites W2117079761 @default.
- W3135883299 cites W2122522863 @default.
- W3135883299 cites W2122704878 @default.
- W3135883299 cites W2123417948 @default.
- W3135883299 cites W2136003449 @default.
- W3135883299 cites W2136004272 @default.
- W3135883299 cites W2165799395 @default.
- W3135883299 cites W2288461013 @default.
- W3135883299 cites W2315795831 @default.
- W3135883299 cites W2319960970 @default.
- W3135883299 cites W2326285392 @default.
- W3135883299 cites W2521339491 @default.
- W3135883299 cites W2538107565 @default.
- W3135883299 cites W2797148637 @default.
- W3135883299 cites W2916288765 @default.
- W3135883299 cites W2944449625 @default.
- W3135883299 cites W2966784160 @default.
- W3135883299 cites W2973300812 @default.
- W3135883299 cites W3048105953 @default.
- W3135883299 cites W3089452615 @default.
- W3135883299 cites W3102934921 @default.
- W3135883299 cites W3185549208 @default.
- W3135883299 cites W352468308 @default.
- W3135883299 cites W608863562 @default.
- W3135883299 cites W628798565 @default.
- W3135883299 cites W111862439 @default.
- W3135883299 hasPublicationYear "2021" @default.
- W3135883299 type Work @default.
- W3135883299 sameAs 3135883299 @default.
- W3135883299 citedByCount "0" @default.
- W3135883299 crossrefType "posted-content" @default.
- W3135883299 hasAuthorship W3135883299A5007090019 @default.
- W3135883299 hasAuthorship W3135883299A5052699188 @default.
- W3135883299 hasConcept C105795698 @default.
- W3135883299 hasConcept C11413529 @default.
- W3135883299 hasConcept C114614502 @default.
- W3135883299 hasConcept C125112378 @default.
- W3135883299 hasConcept C177264268 @default.
- W3135883299 hasConcept C199360897 @default.
- W3135883299 hasConcept C2777027219 @default.
- W3135883299 hasConcept C2778067643 @default.
- W3135883299 hasConcept C2778112365 @default.
- W3135883299 hasConcept C33923547 @default.
- W3135883299 hasConcept C41008148 @default.
- W3135883299 hasConcept C48406656 @default.
- W3135883299 hasConcept C54355233 @default.
- W3135883299 hasConcept C86803240 @default.
- W3135883299 hasConceptScore W3135883299C105795698 @default.
- W3135883299 hasConceptScore W3135883299C11413529 @default.
- W3135883299 hasConceptScore W3135883299C114614502 @default.
- W3135883299 hasConceptScore W3135883299C125112378 @default.
- W3135883299 hasConceptScore W3135883299C177264268 @default.
- W3135883299 hasConceptScore W3135883299C199360897 @default.
- W3135883299 hasConceptScore W3135883299C2777027219 @default.
- W3135883299 hasConceptScore W3135883299C2778067643 @default.
- W3135883299 hasConceptScore W3135883299C2778112365 @default.
- W3135883299 hasConceptScore W3135883299C33923547 @default.
- W3135883299 hasConceptScore W3135883299C41008148 @default.
- W3135883299 hasConceptScore W3135883299C48406656 @default.
- W3135883299 hasConceptScore W3135883299C54355233 @default.
- W3135883299 hasConceptScore W3135883299C86803240 @default.
- W3135883299 hasLocation W31358832991 @default.
- W3135883299 hasOpenAccess W3135883299 @default.
- W3135883299 hasPrimaryLocation W31358832991 @default.
- W3135883299 hasRelatedWork W116700202 @default.
- W3135883299 hasRelatedWork W125926453 @default.
- W3135883299 hasRelatedWork W144963292 @default.
- W3135883299 hasRelatedWork W159367444 @default.
- W3135883299 hasRelatedWork W1975030348 @default.
- W3135883299 hasRelatedWork W2016849035 @default.
- W3135883299 hasRelatedWork W2115317042 @default.