Uniform Distribution (Continuous)
Definition
The uniform cdf is
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Background
The uniform distribution (also called rectangular) has a constant
pdf between its two parameters a (the minimum)
and b (the maximum). The standard uniform distribution
(a = 0 and b = 1) is a special case of the beta distribution,
obtained by setting both of its parameters to 1.
The uniform distribution is appropriate for representing the
distribution of round-off errors in values tabulated to a particular
number of decimal places.
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Parameters
The sample minimum and maximum are the MLEs of a and b respectively.
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Example
The example illustrates the inversion method for generating
normal random numbers using rand and norminv. Note that the MATLAB function, randn, does not use inversion since it
is not efficient for this case.
u = rand(1000,1);
x = norminv(u,0,1);
hist(x)
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See Also
Continuous Distributions (Data)
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 | t Location-Scale Distribution | | Uniform Distribution (Discrete) |  |
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