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Parent Chapters-> Omatrix6 statistics unifm0v1

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Simulating a Mean Zero Variance One Uniform Random Variable

Syntax	unifm0v1(nr, nc)
See Also	rand , snormal

Description
Returns a real matrix containing simulated samples of a uniform random variable that has mean zero and variance one. The integer scalars nr and nc specify the number of rows and columns in the return value.

Derivation
Suppose that f(x) is the density function defined by
            / 1 / (2 b)  if -b < x < +b      
     f(x) = |
            \ 0           otherwise
where b is equal to the square root of 3. It follows that the corresponding random variable is uniformly distributed, has mean zero, and variance equal to
      +b                    3           2
     /       2         1   x  |+b      b
     | f(x) x  dx  =  ---  -  |    =   -  =  1
     /                2 b  3  |-b      3
     -b

Example
If you enter
     unifm0v1(1, 4)
O-Matrix will print four number with values between plus and minus the square root of 3.