Distribution Theory: Principles and Applications

This book provides a thorough understanding of distribution theory and data analysis using statistical software to solve problems related to basic statistics, probability models, and simulation. It presents a detailed explanation of different distribution concepts used in statistics along with their application in real-life situations. Covering the analytical aspects using the latest software, the volume discusses stochastic methods and other statistical methods. It provides an overview of statistical data analysis by taking actual situations and implementing open-source software R version 4.0 and Python 3.0+. A detailed study of the statistical models is also provided with examples related to health, agriculture, insurance, and other sectors.

Fozia Homa, PhD, is an Assistant Professor and Scientist in the Department of Statistics, Mathematics and Computer Application, Bihar Agricultural University, Sabour, India, and author or co-author of several journal articles. Dr. Homa has received numerous awards in recognition of her research and teaching achievements from several organizations of national and international repute. She has been conferred with the Young Scientist Award in the field of mathematics and statistics (2016) by Aufau Periodicals, Tamil Nadu, India. She was also awarded with a SP Dhall Distinguished Publication Award in Statistics (2015) by the Society for Advancement of Human and Nature, Himachal Pradesh, India; Young Scientist Award (2015) by the Venus International Foundation, Chennai, India; and Best Young Researcher Award (2015) by GRABS Educational Trust, Chennai, India. She has been an active member of the organizing committees of several national and international seminars, conferences, and summits. Dr. Homa acquired her BSc (Statistics Hons) and MSc (Statistics) degrees from Banaras Hindu University, Varanasi, Utter Pradesh, India, and her PhD (Applied Statistics) with specialization in sampling techniques from the Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India. She has received several grants from various funding agencies to carry out her research projects. Her areas of specialization include sample surveys, population studies, and mathematical modeling.

Mukti Khetan, PhD, is currently working as an Assistant Professor in the Department of Mathematics, Amity School of Applied Sciences, Amity University Mumbai, Maharashtra, India. She formerly worked in the Department of Mathematics at IIT Bombay, Maharashtra, and in the Department of Statistics at Sambalpur University, Sambalpur, India. She completed her PhD in Statistics at IIT(ISM), Dhanbad, and MSc degree in Statistics at Banaras Hindu University, Varanasi, India. She has published several research papers and book chapters in reputed national and international journals. She has supervised three MPhil students and has more than four years of teaching and research experience.

Mohd. Arshad, PhD, is currently working as an Assistant Professor in the Department of Mathematics at the Indian Institute of Technology Indore, India. He previously worked in the Department of Statistics and Operations Research at Aligarh Muslim University, India. After acquiring an MSc degree in Statistics, Gold Medalist, from C.S.J.M. University Kanpur, India, he completed his PhD in Statistics at IIT Kanpur, India. He has published several research papers in reputed international journals. He has supervised two PhD students and is presently supervising two PhD students. He is a member of editorial boards of various journals and scientific societies and is an author of the book Solutions to IIT JAM for Mathematical Statistics. Dr. Arshad has been teaching undergraduate and postgraduate courses for more than seven years.

Pradeep Mishra, PhD, is an Assistant Professor of Statistics at the College of Agriculture at the Jawaharlal Nehru Agricultural University, Jabalpur, Madhya Pradesh, India. Dr. Mishra formerly served as a data management specialist at a private multinational company for several years. He specializes in the field of time series, design of experiments, and agriculture statistics. He has published more than 45 research articles in international and national journals. He has won several awards, including a Young Scientist Award in 2017 at the international conference Global Research Initiatives for Sustainable Agriculture & Allied Sciences (GRISAAS-2017), best doctoral degree at the same meeting in 2018, and award for a paper from the Society of Economics & Development in 2018, among other honors. Dr. Mishra earned his BSc in Agriculture from the College of Agriculture, Bilaspur, affiliated with the Indira Gandhi Krishi Vishwavidyalaya, Raipur, Chhattisgarh; his MSc in Agricultural Statistics from the College of Agriculture, Jawaharlal Nehru Agricultural University; and his PhD in Agriculture Statistics, specializing in modeling and forecasting of foods crops in India and their yield sustainability. His PhD research work earned him to be selected for an INSPIRE Fellowship by the Department of Science and Technology of the government of India.