The uniform-distribution tag has no wiki summary.
2
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2answers
62 views
Comparison of 2 samples from different uniform distributions
Given that $0\le a\le b<1$ and $p$ is uniform on $[a,1]$ and $q$ is uniform on $[b,1]$ then if $p$ and $q$ are random selections then what is the probability that $q>p$?
Edit: I am trying to ...
1
vote
2answers
18 views
Combining two identical uniform distributions
Say two random variables, $X$ and $Y$, are such that $X$ ~ $U(0,a)$ and $Y$ ~ $U(0,a)$.
What will the pdf be for $Z$, where $Z=X-Y$?
2
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1answer
78 views
Expected Value Problem (Q-function…inside a function)
I'm working through my textbook for a communications course I'm taking, and this problem is confusing me big time. Like always, the math questions give me the most problems. Maybe I should take the ...
1
vote
1answer
65 views
Measure the uniformity of distribution of points in a 2D square
I am currently running into this problem: I have a 2D square, and have a set of points inside it, say, 1000 points. I need a way to see if the distribution of points inside the square are spread out ...
0
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1answer
63 views
Find coordinates of n points uniformly distributed in a rectangle
I have a rectangle R of width W and height H.
I have N points inside this rectangle.
I need to find an algorithm to position my points in the rectangle in the most uniform way possible (no overlaps, ...
0
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1answer
45 views
How do you generate mean from a uniform distribution between 0 and 1
How do you generate mean from a uniform distribution between 0 and 1
with a sample size of 10? using excel?
Do you have to first generate random numbers from 0 to 1?
0
votes
1answer
51 views
Probability of elements in a subset of the original set
Let me try and rephrase the question as an example. I'll use bits since its convenient in this case.
You have 3 bits A, B and C, that have probability 1/2 of being ...
0
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1answer
37 views
Consider $X \sim \text{Unif} (\alpha, \beta)$. Find $P(X<\alpha + p(\beta - \alpha))$ Assume $p$ is a constant with $0<p<1$
Consider $X \sim \text{Unif} (\alpha, \beta)$. Find $P(X<\alpha + p(\beta - \alpha))$ Assume $p$ is a constant with $0<p<1$
0
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1answer
135 views
Uniform distribution of points on the surface of a circle around a randomly chosen point
In a Monte Carlo simulation i have encountered the following problem: given a unity vector u defining a point A on the surface of a unity sphere, i must randomly determine a new vector forming an ...
10
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0answers
165 views
Two questions about weakly convergent series related to $\sin(n^2)$ and Weyl's inequality
By using partial summation and Weyl's inequality, it is not hard to show that the series $\sum_{n\geq 1}\frac{\sin(n^2)}{n}$ is convergent.
Is is true that ...
3
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0answers
28 views
What is the difference between these two questions?
Consider two independent random variables: X~U(0,1) and Y~U(0,2). Let Z = min(X,Y).
b) Find F$_Z$(z) in terms of F$_X$(.) and F$_Y$(.).
c) Eliminate F$_X$(.) and F$_Y$(.) to find F$_Z$(z).
What is ...
1
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0answers
71 views
Finding Limits of Integration
I have two functions, one depending on $x$ which is
$\frac {1} {2} {\delta(x-5)} + \frac {1} {4}$ which is the combination of a dirac delta function at $5$ and a uniform distribution from $5$ to $7$. ...
1
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0answers
53 views
Approximation or calculation of the probability of getting “clumps” when sampling from a uniform distribution
Suppose that there are $n$ independent samples $X_1,X_2,...,X_n$ sampled from the uniform distribution on $[0,1]$ with the pdf $f(x)=1$.
Is there a good way to calculate or approximate the ...
0
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0answers
16 views
function of a continuous random variable that is a bernoulli trial?
what is a function of a continuous random variable that is a bernoulli trial?
x= continuous random variable
function(x) = bernoulli trial
examples of continuous random variables: exponential, ...
0
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0answers
16 views
compare multi-distribution
If
$Y$= a random variable, it is a product of 2 independent uniform distributions [0,1]
$X_1$ = a random variable, it is a independent uniform distributions [0,1]
$X_2$ = a random variable, it is ...
0
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0answers
68 views
Distribution of Sum of Discrete Uniform Random Variables
I just had a quick question that I hope someone can answer.
Does anyone know what the distribution of the sum of discrete uniform random variables is?
Is it a normal distribution?
Thanks!
0
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0answers
51 views
Need a proof check for a Uniform Consistent Estimator: Statistical Theory
So I have a homework question that goes:
Let X~U$(0,\theta$). Show that Max($\{X_1, X_2 , \ldots , X_n \}$) is a consistent estimator for $\theta$.
From my class, we were shown that our CDF for Max ...
0
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0answers
41 views
Is transfert theorem the best choice in this kind of exercise?
I am studying Probability theory and came to this exercise :
Let $U,V$ be independent uniform random variables over $[0,1]$. Show that $X:=\cos(2\pi V)\sqrt{-2\ln U}$ and $Y:=\sin(2\pi V)\sqrt{-2\ln ...
0
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0answers
53 views
Distribution of binary digits in moduli
Considering the (infinite) set of all positive integers that are a product of $2$ primes only,
represented in binary $100...01$.
Question: is the distribution of the proportion of $0,1$ digits ...
0
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0answers
51 views
Calculated probability not matching simulated results
I know that if you take random and uniformly continuous number that are generated by the sum of x1+x2 (so y=x1+x2), the probability $P(0.9<y<=1.8)$ the calculated results are:
y~u(0,1)
= 0.575
...
0
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0answers
19 views
uniform test for a clustering algorithm
I have some clusters of data. Each cluster contains ablout 5 data points. How can I assign a score to these clusters (a real number) that indicates how uniformly these data points are in clusters. In ...
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0answers
34 views
Generating samples from $u(7,10)$
I have the following assignment:
It requires to generate samples from $u(7,10)$,the uniform distribution on the interval $2 \leq x \leq 11$. Compare the normalized histogram with the density ...
-2
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0answers
38 views
Uniform probability question
Anyone here that can solve this challenging question that I have?
Let $U \sim U[a,b]$. Suppose $X = U$ and $Y = \frac{1}{2} U$.
Find $P(X \le x, Y \le y)$ for $-\infty \le x, y \le + \infty$.
