000			01398 a2200217 4500
003			OSt
005			20241016150707.0
008			241016b |||||||| |||| 00| 0 eng d
020			_a9781138114180
040			_aICTS-TIFR
050			_aQA273.A87
100			_aSiva Athreya
245			_aMeasure and probability
260			_bCRC Press, _aBoca Raton: _c[c2008]
300			_a221 p.
505			_a1. Probabilities and Measures 2. Integration 3. Random Variables 4. Probability Measures on Product Spaces 5. Characteristics and Convergences 6. Markov Chains 7. Some Analysis
520			_aThis 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. --- summary provided by publisher
650			_aMathematics
700			_aV. S. Sunder
942			_2lcc _cBK
999			_c35465 _d35465