# Questions tagged [uniform-distribution]

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

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### Maximum Likelihood Estimator of $\theta$ for U($-\theta$,$\theta$) [duplicate]

Let $X_{1}$, $X_{2}$, $X_{3}$.......$X_{n}$ be a random sample from $U(-\theta,\theta)$ distribution So the $Likelihood \ function$ is $$L = (\frac{1}{2\theta})^{n}$$ To maximize $L$ we need to find ...
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### Applying Wilks' theorem to uniform distribution

Suppose $X_i$ ~ $U(0,b)$, for $i=1,2...n$ and we want to test the null hypothesis that $b=1$. Assume $H_0$. Then from Wilks' theorem, as $n \rightarrow \infty$, $2\ln(\frac{L_x(H_1)}{L_x(H_0)})$ ...
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### understanding uniformly distributed success probability

I'm currently reading a theoretical economics paper, where they used an example I don't quite understand. I hope you guys can help me out🙂 The following excerpt is the example I don't quite ...
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### Posterior distribution of two i.i.d. uniform r.v. given their difference with graphical intuition

I have two i.i.d. random variables, $\theta_1$ and $\theta_2$ which are uniformly distributed on the unit square. I need to compute the joint posterior distribution of these two variables, given their ...
### Show that the maximum of $x_1,...,x_n \sim \mathrm{Uniform}(0,\theta)$ is a sufficient statistic for $\theta$. (From definition)
Problem Show that the maximum of $x_1,...,x_n \sim \mathrm{Uniform}(0,\theta)$ is a sufficient statistic for $\theta$. Background This question has been asked before, but most answers tackle the ...
So let's say I have a set of binary vectors $x \in \{0,1\}^n$. Hence, $|\{x\}| = 2^n$ . For all $x$, there is a class $c_i$. We do not know what is this class a priori, but we can compute it once we ...