000			01713nam a2200241 4500
005			20250417100909.0
008			250417b |||||||| |||| 00| 0 eng d
020			_a9783031631894
037			_cTextual
040			_aRTL _cRTL
084			_aB281 R4 _qRTL
100			_aPascucci, Andrea _9428382
245			_aProbability theory I: Random variables and distributions
260			_aSwitzerland _bSpringer _c2024
300			_axxi, 382 p. : ill. _bIncludes bibliographical references and index
440			_v165
490			_aUnitext
520			_aThis book provides a concise yet rigorous introduction to probability theory. Among the possible approaches to the subject, the most modern approach based on measure theory has been chosen: although it requires a higher degree of mathematical abstraction and sophistication, it is essential to provide the foundations for the study of more advanced topics such as stochastic processes, stochastic differential calculus and statistical inference. The text originated from the teaching experience in probability and applied mathematics courses within the mathematics degree program at the University of Bologna; it is suitable for second- or third-year students in mathematics, physics, or other natural sciences, assuming multidimensional differential and integral calculus as a prerequisite. The four chapters cover the following topics: measures and probability spaces; random variables; sequences of random variables and limit theorems; and expectation and conditional distribution. The text includes a collection of solved exercises.
650			_aProbability
650			_aMathematics
650			_aVariables
942			_2CC _n0 _cTB _hB281 R4
999			_c1309069 _d1309069