# Questions tagged [uniform]

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

611 questions
Filter by
Sorted by
Tagged with
417 views

### Generating random matrices with specific equality constraints

Suppose I want to generate a nonnegative $n \times n$ matrix $\mathbf A$ for an odd $n$ (say, $n=5$ for a good enough example), such that the individual elements are drawn from a uniform distribution ...
975 views

### Is there a continuous version of the Uniform distribution?

The Uniform distribution is not differentiable. Is there a differentiable distribution that approximates a Uniform?
1k views

### Does uniform conditional distribution imply independence?

Take two random variable $X,Y$ and suppose $X$ is distributed uniformly on $[0,1]$ conditional on $Y$. Does this imply that $X$ is independent of $Y$? Could you make an example?
1k views

### Normal Distribution with Uniform Mean

I'm trying to understand the distribution, mean, and variance of a normal random variable, with the mean parameter having a uniform distribution. Based on my R simulations it seems that this compound ...
833 views

### Verifying that a random generator outputs a uniform distribution

I asked a student of mine this question: If you have a random number generator that outputs a number between $1$ and $k$, how would you write a test that decides whether the generated ...
10k views

### Log-uniform distributions

I am having some difficulty understanding what log uniform distributions are. Suppose that $\log X$ is uniformly distributed on the interval $[1,e]$. How do I describe $P(X=x)$? It seems like there ...
807 views

### How to efficiently choose $n$ subset out of a set of $m$ many numbers, in a randomized uniform manner?

Problems: It is fairly simple: we have a list of numbers $x_1, x_2, \ldots,x_n,\ldots, x_m$. Our goal is to randomly and uniformly choose a subset of $n$ many numbers out of these. This means that, ...
3k views

### Can I use Kolmogorov Smirnov test to check if my data are uniformly distributed?

I'd like to check if distribution of my data is significantly different from a uniform distribution. I know that the K-S test is used for checking the normality of data, but I wonder if it can be ...
2k views

385 views

2k views

### Uniform random variable distribution

This is a homework problem out of the book. It says If $U$ is a uniform random variable on [0,1], what is the distribution of the random variable $X = [nU]$, where [$t$] denotes the greatest ...
601 views

### Asymtotic distribution of the MLE of a Uniform

A property of the Maximum Likelihood Estimator is, that it asymptotically follows a normal distribution if the solution is unique. In case of a continuous Uniform distribution the Maximum Likelihood ...
78 views

### Continuous uniform random variables convergence question

Let $X_1, X_2, \ldots$ be independent $U(0,2)$ random variables and let $$Y_n = \prod_{i=1}^n \, X_i \;.$$ How do I prove or disprove that that $Y_n$ converges to $0$ almost surely ?