Advanced Probability Theory and Statistical Techniques is a comprehensive textbook designed to meet the requirements of graduate, post-graduate, doctoral & post-doctoral research scholars of all State & Central Universities of India & Abroad in the field of Probability Theory and Mathematical Statistics. This book is an outcome of vast experience of post-doctoral work of the principal author Prof. Dr. Vishwa Nath Maurya; an Indian academician and leading expert.This textbook includes thorough discussion on advanced concepts and research in the field and facilitates a balanced approach to the subject.It provides a brief introduction of each chapter which helps to grasp the difficult and advanced topics.Special properties and summary of each discrete and continuous probability distributions are provided at the appropriate place of relevant distribution.It contains extensive discussion on advanced probability distributions and statistical techniques and includes special attention on their scope and application.Its contents are written in a student-friendly style with significant accuracy and authenticity.Most chapters based on published research papers of the authors are incorporated.