Welcome to the fascinating realm of Distribution Theory – I. I am thrilled to present to you this comprehensive book of Distribution Theory – I. No such comprehensive book is available for the students studying at undergraduate level having subject specialization as a Statistics.
The present book is useful to the students of Statistics at Degree, Honours and Post-graduate levels. The book will also be useful for the students preparing for various competitive examinations. Every attempt has been made to keep the theorem or proofs as simplified form.
The book includes five chapters. The first chapter is on Beta distribution, it discusses two kinds of beta distributions viz. Beta distribution of first kind and Beta distribution of second kind. The second chapter is on Cauchy distribution. Third chapter provides the detailed explanation on Order statistics. The Fourth chapter is on Chebychev’s inequality and the last chapter is on the Central limit theorem and Weak law of large numbers.
As the author of this book, I have drawn upon my experience as a teacher to craft a resource that caters to the needs of both students and professionals seeking a deep understanding of distribution theory. ”Foundations of Distribution Theory – I” is organized to guide you through the subject matter in a logical and progressive manner. I begin by establishing the prerequisites for the subsequent topic, introducing the fundamental concepts of distributions. The inclusion of detailed explanations, step-by-step derivations, exercises with varying levels of difficulty ensures that you can approach the material at your own pace and gradually master the intricacies of distribution theory.
In addition to the comprehensive coverage of distribution theory, this textbook includes additional exercises, and solutions to selected problems, enabling you to further deepen your understanding and reinforce your learning. As you embark on this intellectual journey, I extend my deepest gratitude to you, the reader, for your curiosity and dedication to expanding your knowledge. I hope that this book will serve you as a reliable companion, equipping you with the tools to tackle complex problems and inspire further exploration in this dynamic field. Wishing you an enlightening and rewarding study of distribution theory.
