Questions tagged [uniform]

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

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Cumulative distribution functions (cdfs) range uniformly [duplicate]

I am confused .. how does this happen? "continuous cumulative distribution functions (cdfs) range uniformly over the open interval (0,1).". How does the cdf range "uniformly" (each value having the ...
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A question about a sum of squares of uniform random variables

For independent and identical $V_1,V_2\in U(-1,1)$, what is the probability that $V_1^2+V_2^2<1$? I tried but can't get an answer, the answer is $\frac{\pi}{4}$
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Estimator of The Mean of the Ratio of Uniformly Distributed Variables

Given two random variables, $ X \sim U \left[ {\mu}_{x} - \frac{{l}_{x}}{2} > 0, {\mu}_{x} + \frac{{l}_{x}}{2} \right] $ and $ Y \sim U \left[ {\mu}_{y} - \frac{{l}_{y}}{2} > 0, {\mu}_{y} + \...
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Uniformly choosing from a list of samples which are normally distributed?

What kind of distribution do we get if I have a list of let's say 100 numbers which were generated by a normal distribution [mean$=0$, variance$=1$], and I now choose $k$ times uniformly from this ...
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105 views

Algorithm for uniform sampling with bounded replacement

Is there a simple algorithm to sample from the uniform distribution on sequences of $n$ numbers, each taking one of $m$ integer values from $0$ to $m-1$, where each value can be repeated at most $r$ ...
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Testing uniformity of data

I need to test if a vector of observed values are uniform distribution. Lets assume: This values are not a sample, but my entire universe. I have a dataset of 12000 observations, where most of the ...
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138 views

Correct notation wrt. uniform distribution

Assume that I have a discrete set $L$ and a transformation $\phi: L \rightarrow [0,1]$ that normalizes set $L$ such that now values belonging $L$ are uniformly distributed among the unit interval. ...
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608 views

Drawing floating numbers with [0, 1] from uniform distribution by using numpy

I'm currently trying to draw floating numbers from a uniform distribution. The Numpy provides numpy.random.uniform. ...
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60 views

Determining maximum of a noisy waveform with known frequency over multiple periods

I have a base signal which is a wave with (fairly) consistent shape and known frequency. On top of that signal is some uniformly distributed additive noise (wave goes from -1 to 1, noise is uniformly ...
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45 views

Sampling subsegments from discrete input ranges

I have an set of input ranges {[a1, b1], [a2, b2], ...}. Each a and b represent integer ...
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The pdf of a standard uniform random variable divided by constant [closed]

For a random variable $\frac{U}{a}$ where $U$ is a standard uniform random variable, I'm trying to determine the pdf. I'm not so sure what I'm getting is correct as I'm getting some funny results ...
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121 views

Uniform distribution - a simple question

I know this is a really simple one, but for some reason I see various ways and I'm not sure which one should I follow. So - I have $Y_1,...Y_n \sim U(1,3)$ and I want to know $P(y<c)$. The answer ...
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Normalize the posterior density for a Cauchy Distribution C ($\theta$,1) and a Uniform [0,100] prior [closed]

Using a Bayesian approach we have $$P(\theta|\text{data})= P(\text{data}|\theta) \frac{P(\theta)}{P(\text{data})}$$ Therefore, the posterior distribution will be proportional to $$\frac{1}{N} (1+(y+\...
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103 views

What efficient methods are there to assert that a population has a uniform distribution?

I stumbled upon this article on confidence intervals. The concept as a whole made sense but seemed strange to me. I concluded that given a fixed method of randomly sampling the population, a fixed ...
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Deriving standard normal distribution from a statistic involving normal and uniform random variables

I tried deriving distributions of numerator and denominator separately. But found that there is no closed form. I have no clue on how to show that Z is standard normal.
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Probability model question [closed]

Counts of the number of broken bones in college athletes during the season would be best represented by which of the following probability models? Question options: Binomial --Thinking this is the ...
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PDF of the maximum likelihood estimator of a uniform distribution

Suppose $ \{X_1, \dots , X_n \}$ is a random sample from: $$ f_X(x; \theta) = \frac{1}{\theta} \text{, for } 0 \leq x \leq \theta $$ The Likelihood function is easy to calculate: $$ L_Y(\theta; y)...
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Uniform Density Function

As we know the uniform probability density function is f(x)=1/(b-a) if i find the density function and area of this uniform distribution between (0, 1/2) then it would be f(x)=1/(1/2-0) f(x)=2 ...
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Uniform distribution on 255 from text [closed]

I'm trying to create a way to link letters from a text to a position between 1 to 255. For example, the text is : "stackexchange" I would like to link every letter to a number between 1 and 255. The ...
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Help me understand how to apply a beta-binomial model in order to estimate a parameter when there are several Bernoulli trials?

So, I have been presented with this question: A sample of 100 people were asked how many days they drove their car during the last week (inc. the weekend). The resulting frequency of response is shown ...
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What is $EY$, if $Y=max(X_{1},X_{2},…,X_{n})$ where $X_{i}$ are observations from uniform distribution over $(0,a)$

What is $EY$, if $Y=max(X_{1},X_{2},...,X_{n})$ where $X_{i}$ are observations from uniform distribution over set $(0,a)$, $EY$ goes to $a$ as $n$ goes to infinity ?

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