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# Questions tagged [uniform]

The uniform distribution describes a random variable that is equally likely to take any value in its sample space.

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I'm looking for a way to adjust the probability distribution of a uniform random function I'm using in a program. I want to find some discrete probability distribution that includes a parameter for "...
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### Consider the sum of $n$ uniform distributions on $[0,1]$, or $Z_n$. Why does the cusp in the PDF of $Z_n$ disappear for $n \geq 3$?

I've been wondering about this one for a while; I find it a little weird how abruptly it happens. Basically, why do we need just three uniforms for $Z_n$ to smooth out like it does? And why does the ...
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### Sample/Filter nonuniformly distributed values so that result follows a uniform distribution

I have a dataset with a nonuniform distribution. I want to sample it so that the result is uniformly distributed. If I know the class of the example, with what probability should I choose it to get a ...
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### Fake uniform random numbers: More evenly distributed than true uniform data

I'm looking for a way to generate random numbers that appear to be uniform distributed -- and every test will show them to be uniform -- except that they are more evenly distributed than true uniform ...
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### Probability model question [closed]

Counts of the number of broken bones in college athletes during the season would be best represented by which of the following probability models? Question options: Binomial --Thinking this is the ...
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### Weak Convergence

Here is the problem (not homework), Let $U_1,\cdots,U_n$ be i.i.d. uniform$(-n,n)$ random variables. For $-n<a<b<n$, we set $1_{U_i}(a,b)$ be the indicator function such that $1_{U_i}=1$ if ...
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### Sampling subsegments from discrete input ranges

I have an set of input ranges {[a1, b1], [a2, b2], ...}. Each a and b represent integer ...
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### Show that Y/Z does not have finite expectation

The unit interval (0, 1) is divided into two sub-intervals by picking a point at random from inside the interval. Denoting by Y and Z the lengths of the longer and the shorter sub-intervals ...