A conditional law of large numbers

DOI10.1214/AOP/1176994830zbMath0426.60019OpenAlexW2067596307MaRDI QIDQ1136148

Oldrich Alfons Vasicek

Publication date: 1980

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994830

zbMATH Keywords

entropymaximum entropy principlelimit theoremsstatistical mechanicslaws of large numbersconditional convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Limit theorems in probability theory (60F99)

Related Items (8)

On convergence of conditional probability measures ⋮ The Gibbs principle for Markov jump processes ⋮ The Pólya information divergence ⋮ Nonequilibrium Markov processes conditioned on large deviations ⋮ Maximum probability/entropy translating of contiguous categorical observations into frequencies ⋮ Asymptotic behavior of a sequence of conditional probability distributions and the canonical ensemble ⋮ On the conditional probability density functions of multivariate uniform random vectors and multivariate normal random vectors ⋮ A conditional limit construction of the normal probability density

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