Probability and Random Variables: Theory and Applications

Iickho Song, So Ryoung Park, Seokho Yoon (Autoren)

Buch | Hardcover

XII, 496 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-97678-1 (ISBN)

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This book discusses diverse concepts and notions - and their applications - concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is 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 for experienced scholars and professionals, helping them review and refine their expertise.

lt;b>Iickho Song received the BSE and MSE degrees in electronics engineering fromSeoul National University, Seoul, Korea, in 1982 and 1984, respectively, and the

Preface.- Chapter 1 - Preliminaries.- Chapter 2 - Fundamentals of Probability.- Chapter 3 - Random Variables.- Chapter 4 - Random Vectors.- Chapter 5 - Normal Random Vectors.- Chapter 6 - Convergence of Random Variables.- Answers to Selected Exercises.- Index.

Erscheinungsdatum	26.05.2022
Zusatzinfo	XII, 496 p. 104 illus., 94 illus. in color.
Verlagsort	Cham
Sprache	englisch
Original-Titel	Theory of Random Variables
Maße	155 x 235 mm
Gewicht	919 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	central limit theorem • convergence • Cumulative distribution function • gamma function • Gaussian Random Vector • Generalized Distribution • Impulse Function • Joint Moment of Normal Random Vector • Normal Random Vector • Price's Theorem • Price’s Theorem • Probability density function • Probability mass function • Probability Theory • Random Variable • Random Vector. Set Theory • Singular Function • Stable distribution • Statistic • step function
ISBN-10	3-030-97678-5 / 3030976785
ISBN-13	978-3-030-97678-1 / 9783030976781
Zustand	Neuware