Titlebook: Probability and Random Variables: Theory and Applications; Iickho Song,So Ryoung Park,Seokho Yoon Textbook 2022 The Editor(s) (if applicab

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Textbook 2022is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for.. Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide

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Preliminaries,Sets and functions are key concepts that play an important role in understanding probability and random variables. In this chapter, we discuss those concepts that will be used in later chapters.

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Random Vectors,We consider the concept and applications of random vectors in this chapter. In describing the probabilistic properties of a random vector, we need to specify not only the probabilistic properties of each of the element random variables, but also the relationships among random variables.

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Convergence of Random Variables,In this chapter, we discuss sequences of random variables and their convergence. The central limit theorem, one of the most important and widely-used results in many areas of the applications of random variables, will also be described.