Random variable

(redirected from Identically distributed)
Also found in: Dictionary, Thesaurus, Medical, Encyclopedia.

Random variable

A function that assigns a real number to each and every possible outcome of a random experiment.

Random Variable

In statistics, a variable expressing all possible outcomes of a set of circumstances. It is important in probability density function and probability distribution.
References in periodicals archive ?
, [H.sub.Mbn] are identically distributed by symmetry, we have
be an independent and identically distributed sequence of Z-valued random variables with common law [mathematical expression not reproducible].
If [e.sub.i] is identically distributed over types, then a pay-for-percentile scheme provides identical service quality for all users.
Even the simplicity and the elegance of the RW1 Model seem very alluring, the supposition of the existence of identically distributed independent increments is not quite natural.
then the assumption "identically distributed" can be gotten rid off and some small changes in our result could be founded.
We ran the ARCH-LM residual test (given in Appendix A) for the standardised residuals extracted from both AR(1)-GARCH(1,1) model and found no evidence against the independent identically distributed (iid) hypothesis for the residuals.
Let [[XI].sub.1], ..., [[XI].sub.n] be independent and identically distributed prolate spheroids with isotropic orientation.
This is independently and identically distributed and drawn each day from a distribution which I assume to be uniform over [0,1].
The probability of their proper sequencing would range between 1 chance in [10.sup.70] and 1 chance in [10.sup.140] per try for L-isomer biological amino acids that are independent and identically distributed. So, are carbon-based information units potent in the exploration of this sequence space?
Consider a Bernoulli measure on [{[bar.1],0,1}.sup.Z], i.e., a sequence of independent identically distributed random variables X = [([X.sub.i]).sub.i[member of]Z] over {[bar.1], 0,1} such that [for all]i [member of] Z, P[[X.sub.i] = 1] = P[[X.sub.i] = 1] = p, P[[X.sub.i] = 0] = 1 - 2p = q.
Considering that a basic assumption from the extreme value theory (TVE) is that the distribution of the maximums of independent and identically distributed random variables, converge to one of the particular cases of the GEV (COLES, 2001), and also based on the assumption that the GEV has all the flexibility of its three particular cases NADARAJAH & CHOI, 2007).
et are independently and identically distributed as N (0, [[sigma].sup.2.sub.e]) and the models are assume to be invertible.