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Probability theory.I,Random variables and distributions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Probability theory.by Andrea Pascucci.
其他題名:	Random variables and distributions
作者:	Pascucci, Andrea.
出版者:	Cham :Springer Nature Switzerland :2024.
面頁冊數:	xxi, 382 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Probabilities.
電子資源:	https://doi.org/10.1007/978-3-031-63190-0
ISBN:	9783031631900$q(electronic bk.)

Probability theory.I,Random variables and distributions
Pascucci, Andrea.

Probability theory.I,Random variables and distributions[electronic resource] /Random variables and distributionsby Andrea Pascucci. - Cham :Springer Nature Switzerland :2024. - xxi, 382 p. :ill. (some col.), digital ;24 cm. - UNITEXT. La matematica per il 3+2,v. 1652038-5757 ;. - UNITEXT.La matematica per il 3+2 ;v. 136..

1 Measures and probability spaces -- 2 Random variables -- 3 Sequences of random variables -- 4 Conditional probability -- 5 Summary exercises -- Appendix A: Dynkin's theorems -- Appencix B: Absolute continuity -- Appendix C: Uniform integrability.

This 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.

ISBN: 9783031631900$q(electronic bk.)

Standard No.: 10.1007/978-3-031-63190-0doiSubjects--Topical Terms:

182046
Probabilities.

LC Class. No.: QA273

Dewey Class. No.: 519.2

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