Probability Theory With Applications

The main purpose of this book is to: (i) give a systematic introduction to Probability Theory and Stochastic Processes; (ii) present an outline of possible applications of these theories, accompanied by descriptive concrete examples; and (iii) to provide extensive (however, not exhaustive) references of other books in these areas, thereby giving the reader opportunity to complete his/her knowledge of the subjects considered. The material in the text proceeds from simple set theory, simple random experiments, concepts of probability and probability distributions, functions of random variables, and generating functions to simple stochastic processes, in what the authors regard as the logical approach to Probability Theory and Stochastic Processes

Prof. Joseph Aruna Lawrence Kamara is currently the Head of the Mathematics and Statistics Department at Fourah Bay College (FBC), University of Sierra Leone (USL), and has about twenty-six years of teaching and research experience at FBC. Prof. Kamara holds a PhD in Technical Demography (Mathematical Demography and Statistics) from the Centre for population Studies, London School of Hygiene and Tropical Medicine. University of London; an MSc (Joint) degree in Mathematical Statistics and Demography from the University of Stockholm in Sweden; and a BSc in Mathematics from FBC. Dr. Anani Lotsi is currently a lecturer in the Department of Statistics, University of Ghana, Legon and has over ten years of teaching and research experience. Dr Lotsi holds a PhD in Statistics and an MSC in Financial Mathematics respectively from the University of Groningen in The Netherlands and the University of Kaiserslautern in Germany. He obtained a BA in Statistics and Computer Science from the University of Ghana, Legon. Dr. Felix Okoe Mettle holds a BSc., an MPhil and a PhD in Statistics from the University of Ghana, Legon. He has an evident appreciation of the correct balance between theory and application in several courses he has taught in statistics and probability. He has also supervised dissertations at both the undergraduate and postgraduate levels.