A Review of the Relationship among Some Selected Probability Distributions

Choosing the right probability distribution for a particular phenomenon of interest sometimes becomes an issue for researchers. Relationship among probability distributions can be explored by transformation of random variables, combination of multiple variables and by approximations. This study reviewed some of these commonly used probability distributions and their properties and highlighted their basic differences and links. The distributions considered were both discrete and continuous in nature. While algebraic processes were developed to establish the links among the selected probability distributions, a schematic relationship was utilized to foster better understanding of the relationships among the selected distributions.