Analysis and Probability
Autor Aurel Spataruen Limba Engleză Hardback – 10 ian 2013
- Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples.
- Provides multiple clearly worked exercises with complete proofs.
- Guides readers through examples so they can understand and write research papers independently.
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Specificații
ISBN-13: 9780124016651
ISBN-10: 0124016650
Pagini: 404
Dimensiuni: 152 x 229 x 25 mm
Greutate: 0.78 kg
Editura: ELSEVIER SCIENCE
ISBN-10: 0124016650
Pagini: 404
Dimensiuni: 152 x 229 x 25 mm
Greutate: 0.78 kg
Editura: ELSEVIER SCIENCE
Public țintă
Students and researchers in probability theory, topology, measure theory, real and functional analysis and related fields.Cuprins
Chapter 1: Elements of Set TheoryChapter 2: Topological PreliminariesChapter 3: Measure SpacesChapter 4: The IntegralChapter 5: Measures on Product -algebrasChapter 6: Elementary Notions in Probability TheoryChapter 7: Distribution Functions and Characteristic FunctionsChapter 8: Probabilities on Metric SpacesChapter 9: Central Limit ProblemChapter 10: Sums of Independent Random VariablesChapter 11: ConditioningChapter 12: Ergodicity, Mixing and Stationarity
Recenzii
"...The subject of this book is modern probability theory and it gives a full self-contained presentation of fundamental results within the area…it presents the theory of probability from a measure-theoretic point of view." --MathSciNet, Analysis and Probability
"This monograph is a self-contained and compactly written text book on probability theory for graduate students…the textbook gives a rigorous…presentation of the fundamental results in probability theory with an emphasis on the interaction between analysis and probability." --Zentralblatt MATH, 1278.60002
"Spataru presents a probability theory text for graduate students who have a solid background in abstract analysis, which is required because he develops probability theory from a measure-theoretic perspective." --Reference & Research Book News, October 2013
"This monograph is a self-contained and compactly written text book on probability theory for graduate students…the textbook gives a rigorous…presentation of the fundamental results in probability theory with an emphasis on the interaction between analysis and probability." --Zentralblatt MATH, 1278.60002
"Spataru presents a probability theory text for graduate students who have a solid background in abstract analysis, which is required because he develops probability theory from a measure-theoretic perspective." --Reference & Research Book News, October 2013