ABSTRACT

In Section 2.2, we summarize the concepts of expected value and variance. The expected value is interpreted as the “center” of a probability distribution. A variance quantifies the average squared deviation from its “center”. Section 2.3 introduces the notions of moments and a moment generating function (mgf) of a random variable. Section 2.4 provides a powerful result which says that a finite mgf determines a probability distribution uniquely. Section 2.5 briefly touches upon probability generating function (pgf) which leads to factorial moments.