Questions tagged [uniform-distribution]

For questions involving random variables uniformly distributed on a subset of a measure space. To be used with [probability] or [probability-theory] tag.

1,335 questions
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According to the uniform distribution U(0,θ), how to obtain the suitably normalized limit distribution for ((n+1)/n) X(n) ) [on hold]

I was thinking of doing it by means of the maximum likelihood estimator but how can I apply it to the case in which I get (n + 1) / n?
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understanding the conditional entropy in the case of having uniform distribution?

Would you please help me to understand the conditional entropy in this example which I got stuck in? The example Considers 4 uniformly popular binary vectors, for example; {f1,f2,f3,f4} each with ...
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Pdf for distance between two uniform random points in a circle

This is my first post in the group and I would be very thankful for any help. I am trying to develop a probability distribution for a performance analysis in my thesis. I am trying to look in to ...
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Given pdf of $X$, find a function $U$ that has the same distribution as $X$ where $U\sim Unif (0,1)$

Consider a random variable $X$ having pdf $$f_X(x) = \begin{cases} {3\over{x^4}} & \text{x \gt 1} \\ {0} & \text{x\leq 1}\end{cases}$$ and consider $U\sim Unif (0,1)$. Give a ...
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Proving that a statistic is not sufficient (uniform case).

Let $X=(X_1,...,X_n)$ be i.i.d. $U(0,\theta)$. How to show that $$\frac{2}{n}\sum_{i=1}^{n}X_i$$ is not a sufficient statistic? I have already proven that $\max_{i=1,...,n}X_i$ is a sufficient ...
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On the sum of two random variables with uniform joint distribution on a parallelogram

Given $(X ,Y)$ uniformly distributed over the parallelogram with vertices $(-1,0)$, $(1,0)$, $(2,1)$, $(0,1)$, I'm intrested in the distribution of $Z = X+Y$. Solution The contours of (X, Y) look ...
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