This monograph is, as far as the author has gathered, the third one of its kind which presents various characterizations of many important continuous distributions. It consists of two chapters. The first chapter lists cumulative distributions and probability density functions of six hundred and sixty seven newly proposed univariate continuous distributions. Chapter Two consists of four sections. Section 2.1 provides characterizations of the majority of the distributions mentioned in Chapter One, based on the ratio of two truncated moments. Section 2.2 takes up the characterizations of some of...