Reprint

Limit Theorems of Probability Theory

Edited by
November 2023
322 pages
  • ISBN978-3-0365-9192-6 (Hardback)
  • ISBN978-3-0365-9193-3 (PDF)

This book is a reprint of the Special Issue Limit Theorems of Probability Theory that was published in

Computer Science & Mathematics
Engineering
Physical Sciences
Public Health & Healthcare
Summary

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.

Format
  • Hardback
License
© 2022 by the authors; CC BY-NC-ND license
Keywords
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