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# Distribution Theory

DOI link for Distribution Theory

Distribution Theory book

# Distribution Theory

DOI link for Distribution Theory

Distribution Theory book

## ABSTRACT

This chapter defines non-normal random variables in the context of an application. It analyses the possible values for each random variable and how changing values for a parameter affects the characteristics of the distribution. The chapter describes a form of the probability density function for each distribution. It also analyses the mean and variance for each distribution. The chapter compares the response for a study to a plausible random variable and provides the reasons for ruling out other random variables. It establishes a mixture of distributions and evaluates the shape, mean, and variance. A discrete random variable has a countable number of possible values. With discrete random variables, the associated probabilities can be calculated for each possible value using a probability mass function. A continuous random variable can take on an uncountably infinite number of values. With continuous random variables, probabilities using probability density functions are defined.