Discrete random variable

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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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If X(S) is a most countable in R, then X is a discrete random variable.
If X is a discrete random variable, then a better way of describing it is to give its probability distribution function (also pdf), an array that contains all its values [x.
In the case where X is a discrete random variable, it can be easily seen that
Below are the computational formulas for a discrete random variable with pdf [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and for a continuous random variable with pdf f: R[right arrow]R, respectively:
Simulations of continuous random variables and Monte Carlo methods
n[Pi]] be the set of discrete random variables taking values [w.
Let F and G be the distribution functions of discrete random variables V and W, respectively; F(u) is defined as Pr(V [greater than or equal to] u).
Let Z be a discrete random variable taking values z = ([z.
Second-degree stochastic dominance decisions and random initial wealth with applications to the economics of insurance
We have described procedures and algorithms for computer simulations of some common discrete random variables.
If the set of values that X takes is at most countable, then X is a discrete random variable, if it is an interval in [?
Statistical computer simulations and Monte Carlo methods
The number of tails, T, that we can obtain is 10, 1, 2}, and T is a discrete random variable.
Chapter 3 Probability

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