Measure and probability
Publication details: 2009 University Press Private Limited HyderabadDescription: x, 221 pISBN:- 9781439801260
- 519.2 ATH
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Mahindra University VNLRC General Stacks | Maths | 519.5 ATH (Browse shelf(Opens below)) | Not for loan | 4429 |
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519.5 ACZ Complete business statistics | 519.5 AND Introduction to Multivariate Statistical Analysis | 519.5 AND Introduction to Multivariate Statistical Analysis | 519.5 ATH Measure and probability | 519.5 BER Intelligent data analysis : | 519.5 CAS Statistical inference | 519.5 CAS Statistical inference |
This book covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to complex measures, Lp spaces, Radon–Nikodym theorem, and the Riesz representation theorem. It presents the elements of probability theory, the law of large numbers, and central limit theorem. The book then discusses discrete time Markov chains, stationary distributions and limit theorems. The appendix covers many basic topics such as metric spaces, topological spaces and the Stone–Weierstrass theorem.
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