Limit Theorems of Probability Theory

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...

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collection Directory of Open Access Books
description 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.
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language eng
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-1287222024-03-28T03:32:29Z Limit Theorems of Probability Theory Tikhomirov, Alexander Ulyanov, Vladimir 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2023-11-30T20:46:34Z 2023-11-30T20:46:34Z 2023 book ONIX_20231130_9783036591926_174 9783036591926 9783036591933 https://directory.doabooks.org/handle/20.500.12854/128722 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/8186 https://mdpi.com/books/pdfview/book/8186 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-9193-3 10.3390/books978-3-0365-9193-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036591926 9783036591933 322 Basel open access
spellingShingle 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Limit Theorems of Probability Theory
title Limit Theorems of Probability Theory
title_full Limit Theorems of Probability Theory
title_fullStr Limit Theorems of Probability Theory
title_full_unstemmed Limit Theorems of Probability Theory
title_short Limit Theorems of Probability Theory
title_sort limit theorems of probability theory
topic 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet 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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20231130_9783036591926_174