Set, Measure and Probability Theory.
This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random variables, convergence theorems, laws of large numbers, and fundamental inequalities. The idea is to present a seaml...
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| Format: | eBook |
| Language: | English |
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Milton :
River Publishers,
2023.
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| Series: | River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random variables, convergence theorems, laws of large numbers, and fundamental inequalities. The idea is to present a seamless connection between the more abstract advanced set theory, the fundamental concepts from measure theory, and integration, to introduce the axiomatic theory of probability, filling in the gaps from previous books and leading to an interesting, robust and, hopefully, self-contained exposition of the theory. This book also presents an account of the historical evolution of probability theory as a mathematical discipline. Each chapter presents a short biography of the important scientists who helped develop the subject. Appendices include Fourier transforms in one and two dimensions, important formulas and inequalities and commented bibliography. Many examples, illustrations and graphics help the reader understand the theory. |
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| Item Description: | Description based upon print version of record. Chapter 7: Joint Random Variables |
| Physical Description: | 1 online resource (303 p.). |
| ISBN: | 9781003808954 1003808956 9781032626451 1032626453 1003808972 9781003808978 |