Limit Theorems of Probability Theory

• Other Authors: Tikhomirov, Alexander (Editor), Ulyanov, Vladimir (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; probability theory; sequences of random variables; sums of random variables; laws of large numbers; law of iterated logarithms; central limit theorem; probabilities of large deviations; Poisson limit distribution; functional limit theorem; limit distributions of extremes; measure concentration; random matrices; sparse sample covariance matrices; Gaussian distribution; asymptotic normality; asymptotic expansions for symmetric statistics; multivariate statistics; point process
• Online Access: DOAB: download the publication; DOAB: description of the publication

The present reprint contains all of the articles accepted and published in the Special Issue titled "Limit Theorems of Probability Theory". The papers included in this Special Issue present new directions and advances for limit theorems in probability theory and its applications. The list of topics is extensive, and it includes classical models of sums of both independent and various types of dependent random variables; probabilities of large deviations; functional limit theorems and limit theorems for random processes, in high-dimensional spaces, for spectra of random matrices, and for random graphs, etc. We strongly believe that the selected topics and results will be attractive to and useful for the international scientific community, as well as contribute to further research into the subject of limit theorems in probability theory.