1.

Record Nr.

UNINA9910574094003321

Autore

Song Iickho

Titolo

Probability and Random Variables: Theory and Applications / / by Iickho Song, So Ryoung Park, Seokho Yoon

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

9783030976798

3030976793

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (506 pages)

Disciplina

519.2

Soggetti

Statistics

Probabilities

Statistical Theory and Methods

Probability Theory

Variables aleatòries

Probabilitats

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.