# Discrete random variable

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Related to Discrete probability distribution: binomial distribution

## Discrete random variable

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, because they can only take on certain values, such as \$10.00, \$10.01 and \$10.02 and not \$10.005, since stocks have a minimum tick size of \$0.01. By way of contrast, stock returns are continuous not discrete random variables, since a stock's return could be any number.

## Discrete Random Variable

A variable that can take only one of several definite values. For example, one's FICO score is a discrete random variable because it can only be a positive integer between 300 and 850.
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Dealing with random combinatorial structures needs to estimate the deviation of two discrete probability distributions in terms of the maximal distance between their generating functions over [0, 1].
The Formulations of Discrete Probability Distributions of Similarity Scores and ROC Curve
Mittal, "New nonadditive measures of entropy for discrete probability distributions," Journal of Mathematical Sciences, vol.
"Probability & Statistics: Modular Learning Exercises" cover: (1) Basic Statistics Concepts; (2) The Normal Model; (3) Discrete Probability Distributions; and (4) Correlation and Regression.
Consider two discrete probability distributions, p and q.
Their chapters cover descriptive statistics, probability, discrete probability distributions, continuous probability distributions, sampling and sampling distributions, interval estimation, hypothesis tests, comparisons involving means, comparisons involving proportions and a test of independence, simple linear regression, and multiple regression.

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