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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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of Texas at Dallas) provides MATLAB computer codes along with detailed examples and exercises with direct connections to the front lines, moving efficiently from basic probability to discrete random variables and their distributions, continuous distributions, computer simulations and Monte Carlo methods, stochastic processes, queuing systems, basic statistics, statistical inference, and regression.
n] is given by a random union of absolutely continuous random closed sets of dimension n < d: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [PHI] is a nonnegative discrete random variable with E[[PHI]] < [infinity], and the Ei's are IID as E and independent of [PHI].
k] is a discrete random variable, a book by Shiryaev is a very good reference as it contains a section on conditioning with respect to what Shiryaev calls "decompositions" ((Shi96, Chapter 1, Sec.
 
 
 
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