As others have told you, you can't. You can talk about a uniform
distribution on the reals but there's no way to normlize it so it
integrates to 1, so it's an "improper" distribution, and there is no way
to sample from those.
Duncan Murdoch
On 2025-07-28 12:30 p.m., Daniel Lobo wrote:
Many thanks for your guidance. However my original problem is, how to
select n points in the Real line randomly without any preference of
any particular probability distribution?
On Mon, 28 Jul 2025 at 21:45, Rui Barradas <ruipbarra...@sapo.pt> wrote:
On 7/28/2025 5:00 PM, Daniel Lobo wrote:
Hi,
I want to draw a set of random number from Uniform distribution where
Support is the entire Real line.
runif(4, min = -Inf, max = Inf)
However it produces all NAN
Could you please help with the right approach?
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Hello,
What you are asking doesn't make sense.
The uniform distribution's PDF is
f(x;a, b) = 1/abs(b - a) if x in [a, b]
0 otherwise
So what you have is 1/abs(Inf - -Inf) = 1/abs(Inf) = 0.
And the cumulative distribution function is even worse, it will give you
the indeterminate Inf/Inf.
See the Wikipedia on the uniform distribution [1].
[1] https://en.wikipedia.org/wiki/Continuous_uniform_distribution
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