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.

1,350 questions
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Binomial distribution/conjugate posterior

Let's consider some experiment with tossing a coin. NOTE: my question is given at the very last paragraph. Observation $y=0$ or $y=1$ [tails (T) or heads (H)], $p \in [0, 1]$ (probability of heads) ...
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How is the subtraction of a uniform (0, k) and its entire part distributed?

Let X be a random variable distributed as $U[0, K]$ for an integer K. Find the density function of $Y = f (x) = x- [x]$, where [x] denotes the integer part of the real number x. I think that [X] ...
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How to sample uniformly from ten urns with ten balls each

I have ten numbered urns with numbered 10 balls in each. I want to draw $n<100$ balls in a uniform distribution from all $100$ balls (the urns and all balls are distinct.) My procedure: I roll a 10-...
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probability of renewal process with uniformly inter arrival times

What is the probability the (N(t)=n) for a renewal process with interarrival time uniformly distributed on (0,1)? I thought that P(N(t)=n)== F (n)(t) − F (n+1)(t) where F (n)(t)=(t over n)/(n!). Do ...
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Pdf of $|X-Y|$ when $X,Y$ are independent Uniform $[0,a]$ variables

Need to find pdf of $|X-Y|$ .I little confused and not getting answer after taking below limits. As it is symmetrical I have taken one part of triangle. Considering lower triangle limits I have ...
Let $g = (g_1, ..., g_n)$ be a random vector distributed uniformly on the sphere $\{ x \in \mathbb{R}^n : \| x \|_2 = 1 \}$. Let $A, B$ be two symmetric $n \times n$ matrices. I am interested in a ...
If $X\sim U(0,n)$, how can I show that $X-[X]\sim U(0,1)$?
If $X\sim U(0,n) ; n \in \mathbb N$ , how can I show that the distribution of $Y =X-[X]$ is $U(0,1)$? Any hint will also help me...