000			02023nam a22002057a 4500
005			20250104112056.0
008			250104b |||||||| |||| 00| 0 eng d
020			_a9781944660802
082			_a519.2 _bMOS
100			_aMoshayedi, Nima _918366
245			_aIntroduction to probability theory: _ba first course on the measure-theoretic approach
260			_bWorld Scientific Publishing _aSingapore _c2023
300			_axiv, 277 p.
365			_aINR _b1295.00
490			_aWorld Scientific Series on Probability Theory and its Applications Vol. 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. (https://www.worldscientific.com/worldscibooks/10.1142/12465?srsltid=AfmBOopiMqt79rDaojsRlx86xSdY8Q1yNjhyMyJp9_g2SPJVR7cibQxE#t=aboutBook)
650			_aProbability theory _920111
650			_aProbability Distributions _920112
942			_cBK _2ddc
999			_c7810 _d7810