Title
MOMENT GENERATING FUNCTION, EXPECTATION AND VARIANCE OF UBIQUITOUS DISTRIBUTIONS WITH APPLICATIONS IN DECISION SCIENCES:A REVIEW
Authors
Abstract
Statistics have been widely used in many disciplines including science, social science,business, engineering, and many others. One of the most important areas in statistics is
to study the properties of distribution functions. To bridge the gap in the literature, this
paper presents the theory of some important distribution functions and their moment generating functions. We introduce two approaches to derive the expectations and variances
for all the distribution functions being studied in our paper and discuss the advantages and
disadvantages of each approach in our paper. In addition, we display the diagrams of the
probability mass function, probability density function, and cumulative distribution function
for each distribution function being investigated in this paper. Furthermore, we review the
applications of the theory discussed and developed in this paper to decision sciences.
Keywords
Moment Generating Function, Expectation, Variance, Distribution Functions
Classification-JEL
A12, G35, O34
Pages
65-150