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- 771 g
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Analysis and Probability
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- 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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Recensioner i media
"...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
Bloggat om Analysis and Probability
Chapter 1: Elements of Set Theory Chapter 2: Topological Preliminaries Chapter 3: Measure Spaces Chapter 4: The Integral Chapter 5: Measures on Product -algebras Chapter 6: Elementary Notions in Probability Theory Chapter 7: Distribution Functions and Characteristic Functions Chapter 8: Probabilities on Metric Spaces Chapter 9: Central Limit Problem Chapter 10: Sums of Independent Random Variables Chapter 11: Conditioning Chapter 12: Ergodicity, Mixing and Stationarity