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Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2016, Volume 49, Issue 13, p. 135302
We introduce the number-conserving quantum phase space description as a versatile tool to address fundamental aspects of quantum many-body systems. Using phase... 
de Finetti theorem | BoseEinstein condensate | mean-field theory | GASES | PHYSICS, MULTIDISCIPLINARY | SYMMETRIC STATES | SYSTEMS | ATOMS | CLASSICAL LIMIT | PHYSICS, MATHEMATICAL | Bose-Einstein condensate | Theorems | Approximation | Mathematical analysis | Evolution | Mathematical models | Inverse | Density | Quantum theory
Journal Article
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, ISSN 1980-0436, 2016, Volume 13, Issue 2, pp. 1165 - 1187
A consequence of de Finetti's representation theorem is that for every infinite sequence of exchangeable 0-1 random variables (X-k)(k >= 1), there exists a... 
de Finetti's theorem | Exchangeable Variables | LAWS | LARGE NUMBERS | STATISTICS | SETS | EXCHANGEABLE RANDOM-VARIABLES | Wasserstein distance | Urn models | HOEFFDING DECOMPOSITIONS | STATISTICS & PROBABILITY
Journal Article
Annals of Pure and Applied Logic, ISSN 0168-0072, 05/2012, Volume 163, Issue 5, pp. 530 - 546
We prove a computable version of the de Finetti theorem on exchangeable sequences of real random variables. As a consequence, exchangeable stochastic processes... 
Mutation | The de Finetti theorem | Probabilistic programming languages | Exchangeability | Computable probability theory | MATHEMATICS | MATHEMATICS, APPLIED | REPRESENTATIONS | SPACES | PROBABILITY-MEASURES | LOGIC | RANDOM-VARIABLES
Journal Article
TEST, ISSN 1133-0686, 3/2015, Volume 24, Issue 1, pp. 136 - 165
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2010, Volume 258, Issue 4, pp. 1073 - 1120
Journal Article
Proceedings of the forty-fifth annual ACM symposium on theory of computing, ISSN 0737-8017, 06/2013, pp. 861 - 870
Quantum de Finetti theorems are a useful tool in the study of correlations in quantum multipartite states. In this paper we prove two new quantum de Finetti... 
quantum information theory | SDP hierarchy | de finetti | De finetti | Quantum information theory
Conference Proceeding
Fuzzy Sets and Systems, ISSN 0165-0114, 02/2016, Volume 284, pp. 1 - 30
We provide representation theorems for both finite and countable sequences of finite-valued random variables that are considered to be partially exchangeable.... 
Partial exchangeability | de Finetti's representation theorem | Indifferent gambles | Sets of desirable gambles | Lower previsions | DESIRABLE GAMBLES | FINITE ADDITIVITY | MATHEMATICS, APPLIED | SEQUENCES | STATISTICS & PROBABILITY | MULTINOMIAL DATA | MODEL | IMPRECISE PROBABILITY | SETS | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2016, Volume 441, pp. 23 - 31
The Boltzmann–Gibbs entropy is known to be asymptotically extensive for the Laplace–de Finetti distribution. We prove here that the same result holds in the... 
Rényi | Binomial distribution | Entropy | Extensivity | Laplace–de Finetti representation | Laplace-de Finetti representation | Renyi | PHYSICS, MULTIDISCIPLINARY
Journal Article
TEST, ISSN 1133-0686, 8/2011, Volume 20, Issue 2, pp. 293 - 310
We impose conditions on a family of 0–1 random variables ensuring that they verify a de Finetti-type theorem. More precisely, we assume that the 0–1 random... 
Statistics for Business/Economics/Mathematical Finance/Insurance | Random selection processes | Statistical Theory and Methods | 60G09 | Statistics, general | De Finetti theorem | Statistics | Exchangeability | STATISTICS & PROBABILITY | Studies | Analysis | Random variables | Exchange
Journal Article
Biometrical Journal, ISSN 0323-3847, 01/2018, Volume 60, Issue 1, pp. 146 - 154
In clinical research and in more general classification problems, a frequent concern is the reliability of a rating system. In the absence of a gold standard,... 
agreement | correlated kappa statistics | inflammatory bowel diseases | de Finetti representation theorem | STATISTICS & PROBABILITY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Gastrointestinal diseases | Confidence intervals | Inflammatory bowel diseases | Endoscopes | Statistical analysis | Intestine | Asymptotic properties | Data processing | Endoscopy
Journal Article
Annals of Pure and Applied Logic, ISSN 0168-0072, 2009, Volume 161, Issue 2, pp. 235 - 245
De Finetti gave a natural definition of “coherent probability assessment” β : E → [ 0 , 1 ] of a set E = { X 1 , … , X m } of “events” occurring in an... 
De Finetti coherence criterion | Dutch book | Lukasiewicz logic | Borel probability measure | Many-valued logics | MV-algebra | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | THEOREM | LOGIC
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2017, Volume 369, Issue 1, pp. 645 - 679
We introduce symmetric states and quantum symmetric states on universal unital free product C^*-algebras of the form {\mathfrak{A}}=\operatornamewithlimits... 
Amalgamated free product | De Finetti theorem | Quantum exchangeable | Quantum symmetric states | MATHEMATICS | de Finetti theorem | FINETTI THEOREM | amalgamated free product | quantum exchangeable
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 04/2005, Volume 18, Issue 2, pp. 399 - 412
For probability measures on product spaces which are symmetric under permutations of coordinates, we study the rate of approximation by mixtures of product... 
Symmetric polynomials | induction | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | quadratic | de Finetti representation | Induction | Quadratic | De Finetti representation | quadratics induction | EXCHANGEABLE RANDOM-VARIABLES | STATISTICS & PROBABILITY | symmetric polynomials | CENTRAL-LIMIT-THEOREM
Journal Article