# continuous random variable

Also found in: Financial, Acronyms.

## con·tin·u·ous ran·dom var·i·a·ble

continuous variable that may randomly assume any value in its domain but any particular value has no probability of occurring, only a probability density.
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A stochastic process is called discrete-state if [X.sub.t](e) is a discrete random variable for all t [member of] T and continuous-state if [X.sub.t](e) is a continuous random variable, for all t [member of] T.
A continuous random variable X is said to have beta distribution of 2nd kind with parameters m and n, if its p.d.f.
As we show here, it can also be used to measure the diversity of an arbitrary probability distribution of a continuous random variable.
In this paper, we consider network flow systems in which the functional capacities of the arcs are continuous random variables. The investigated problem is to expand the nominal capacities of arcs so that the system would be capable of securing the demands, while the expansion cost is minimal.
Let the X continuous random variable with probability function f, H : R [right arrow] R is measurable function on (R, B) and H(X) new random variable.
[tau](x) is a continuous random variable with probability density function [p.sub.[tau](x)].
then X is a continuous random variable and f is called its probability density function (pdf).
 studied generalization of Tukey's g-h family of distributions, when the standard normal random variable is replaced by a continuous random variable U with mean 0 and variance 1.
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 [??], then X is a continuous random variable
Also it is important to use the odds ratio on probability density function (corresponding to a continuous random variable).
Roughly speaking, continuous random variables are found in studies with morphometry, whereas discrete random variables are more common in stereological studies (because they are based on the counts of points and intercepts).
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