000			01817nam a2200205 4500
005			20251112211106.0
008			250310b |||||||| |||| 00| 0 eng d
020			_a9781944660802
041			_aeng
082			_a519.2 _bMosI
100			_aMoshayedi, Nima
245			_aIntroduction to Probability Theory: _bA First Course on the Measure-Theoretic Approach / _cNima Moshayedi
260			_aSingapore: _bWorld Scientific Publishing; _c©2023
300			_a277p.
440			_aProbability Theory and its Applications _vv.3
520			_aThis book provides a first introduction to the methods of probability theory by using the modern and rigorous techniques of measure theory and functional analysis. It is geared for undergraduate students, mainly in mathematics and physics majors, but also for students from other subject areas such as economics, finance and engineering. It is an invaluable source, either for a parallel use to a related lecture or for its own purpose of learning it. The first part of the book gives a basic introduction to probability theory. It explains the notions of random events and random variables, probability measures, expectation values, distributions, characteristic functions, independence of random variables, as well as different types of convergence and limit theorems. The first part contains two chapters. The first chapter presents combinatorial aspects of probability theory, and the second chapter delves into the actual introduction to probability theory, which contains the modern probability language. The second part is devoted to some more sophisticated methods such as conditional expectations, martingales and Markov chains. These notions will be fairly accessible after reading the first part.
650			_aProbability
650			_aStatistics
942			_cBK
999			_c7009 _d7009