[R] Drawing random numbers from Uniform distribution with infinite range
Rui Barradas
ru|pb@rr@d@@ @end|ng |rom @@po@pt
Mon Jul 28 18:15:10 CEST 2025
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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