This book provides an introductory overview of random variables and their transformations. The authors approach the topic with statistics students in mind, along with researchers in various fields who are interested in data analysis. The book begins with by defining and explaining mathematical expectation. The authors then discuss transformations of random variables, including distribution functions and special functions. The book also covers joint probability distribution and its applications. The authors have updated and expanded upon their writing on these topics, which they originally covered in their previous book, Statistics for Scientists and Engineers.

Combines theory with numerical examples to provide a thorough explanation of the topic Includes numerous exercises so that readers can practice applying the concepts within the book Presents an up-to-date reference list and around 225 exercise problems

Autorentext

Rajan Chattamvelli, Ph.D., is a Professor in the School of Computer Science and Engineering at Amrita University, India. He has published more than 20 research articles in international journals, and his research interests include computational statistics, design of algorithms, parallel computing, data mining, machine learning, blockchain, combinatorics, and big data analytics.

Inhalt

Mathematical Expectation.- Functions of Random Variables.- Joint and Conditional Distributions.