Probability Theory: A Logic of Science


Mohammad Ahsanullah, PhD (Author) – Professor Emeritus, Rider University, Frederick, Maryland, USA
Valery B. Nevzorov, PhD (Author) – Professor, St. Petersburg State University, St. Petersburg, Russia
Sergei Ananjevskiy, PhD (Author) – St. Petersburg State University, St. Petersburg, Russia

Series: Applied Statistical Science

BISAC: MAT029000

This book is written for people who are interested to know the basics of probability theory. The basic knowledge of high school math will be enough to know the probability theory covered in the book. It covers basic theories of probability, statistical distributions, order statistics and record values, The use of characterization methods are described to identify various probability distributions. The book will be useful for undergraduate, graduate students and applied statisticians.


Table of Contents


Chapter 1. Combinatorics

Chapter 2. Random Variables

Chapter 3. Generating and Characteristic Functions

Chapter 4. Some Univariate Continuous Probability Distributions

Chapter 5. Order Statistics from Minimum to Maximum

Chapter 6. Record Values and Probability Theory of Records

Chapter 7. Characterizations of Continuous Distributions by Independent Copies

Chapter 8. Characterizations of Distributions by Order Statistics

Chapter 9. Characterizations of Distributions by Record Values

Chapter 10. Extreme Value Distributions

Chapter 11. Random Filing of a Segment with Unit Intervals




Additional information