Search results
Results From The WOW.Com Content Network
For a random variable following the continuous uniform distribution, the expected value is = +, and the variance is = (). For the special case a = − b , {\displaystyle a=-b,} the probability density function of the continuous uniform distribution is:
The Bates distribution is the distribution of the mean of n independent random variables, each of which having the uniform distribution on [0,1]. The logit-normal distribution on (0,1). The Dirac delta function , although not strictly a probability distribution, is a limiting form of many continuous probability functions.
A beta distribution with shape parameters α = β = 1 is a continuous uniform distribution over the real numbers 0 to 1. A beta-binomial distribution with parameter n and shape parameters α = β = 1 is a discrete uniform distribution over the integers 0 to n.
Sample variance can also be applied to the estimation of the variance of a continuous distribution from a sample of that distribution. We take a sample with replacement of n values Y 1 , ..., Y n from the population of size N {\textstyle N} , where n < N , and estimate the variance on the basis of this sample. [ 15 ]
That is, for any two random variables X 1, X 2, both have the same probability distribution if and only if =. [citation needed] If a random variable X has moments up to k-th order, then the characteristic function φ X is k times continuously differentiable on the entire real line.
This distribution for a = 0, b = 1 and c = 0.5—the mode (i.e., the peak) is exactly in the middle of the interval—corresponds to the distribution of the mean of two standard uniform variables, that is, the distribution of X = (X 1 + X 2) / 2, where X 1, X 2 are two independent random variables with standard uniform distribution in [0, 1]. [1]
Normal distribution; Normal variance-mean mixture; ... Continuous uniform distribution; V. Variance-gamma distribution; Voigt profile; Von Mises distribution;
Uniform distribution may refer to: Continuous uniform distribution; Discrete uniform distribution; Uniform distribution (ecology) Equidistributed sequence; See also