# Questions tagged [distributions]

A distribution is a mathematical description of probabilities or frequencies.

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### KL divergence of categorical distribution with continuous inputs

I want to simulate a process. I have a probability distribution and I have d classes to choose from. The inputs of my distribution are 3d points and it maps each of these points to a d-dimensional ...
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### Estimating ratio of two PDFs where one of them is noisy

I have a list $L_1$ of positive integers, such as $[1, 2, 1, 3, 10, ...]$. There are repetitions. From this list, I sample (with repetition) according to some method (not relevant to my question), and ...
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### Combining information from multiple distributions

I have 13 classes. For each class, I have a different distribution: e.g. For each distribution, the y-axis indicates the probability and the x-axis indicates a count value. Given some input data, I ...
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### R: Question about central limit theorem

Hello everyone :) can you help me please, I really don't understand my teacher's videos and it is the last part of our 20-pages work :O In the question 1 they ask us to create a Poisson distribution ...
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### the true proportion is within two standard deviations of the sample proportion

A tutorial says If there's a 95% chance that the sample proportion is within two standard deviations of the true proportion, that's equivalent to that there's a 95% chance that the true proportion ...
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### Determine Normal Distribution based on LogNormal Distribution

Suppose that we have that $Y=e^{aX}$ where $a$ is a positive scalar. We know that $Y$ follows a logNormal distribution with parameters $0$ and $2$. Then is there a way to derive the distribution of $X$...
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### Fitting stock prices to MLE in Python

Given the return prices $r(t) = p(t) - p(t-1)$, fit these to the mle of the following distributions in Python: t Exponential Power law Mixture Dirac Binomial So i've got my return prices through <...
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### Is the mean of two symmetric, independent random variables also symmetric?

Does a proof exist that the mean of two symmetric, independent random variables is also symmetric? Or is the conjecture false? I would be interested to learn about references to this question, or ...
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### Extending normalized probability generating function (pgf) in branching process

My question is in the context of branching processes and simply how to extend a normalized negative binomial probability generating function (pgf) from $\frac{1}{y}[G(s)]^y$ to $\frac{n}{y}[G(s)]^y$ ...
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### Gaussian closest to a maximum of Gaussians

Let $X_i \sim \mathcal{N}(\mu_i, \sigma_i)$ be independent, normally-distributed random variables. Let $$Y = a + b \max_i X_i$$ where $a \in \mathbb{R}$ and $b \in (0, 1)$. Which Gaussian ...
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### Parametric model closed under translation, contraction, and maximum

Is there a nontrivial parametric model that is closed under translation, contraction, and maximum? That is, does there exist a nontrivial parametric model $\mathcal{M}$ such that \forall i \in I : ...
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### Smooth sample space

What does it mean that a sample space is smooth and thus we can represent the target distribution with a probability density function? Source: http://arxiv.org/abs/1701.02434 in section "1. ...
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### Trying to find errors in the distribution and the numerical summary of a graph of test scores

My mathematics and statistics instructor gave me a graph showing the distribution of test scores for exam 1. She said that there are errors in the numerical summary of the graph and in the ...
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### Difference between pooled data or panel data for my situation

i am a beginner for panel data econometrics. Need help of experts of the field deciding if it is panel or pooled data or should i use any other methodology. I have data from wind mill and we use wind ...
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### Fitting a distribution. How

First of all, i am not good at this. i need to know what distribution fits in this dataset. i though it could be a poisson due to the characteristics of the data. the data talks about forest fires. ...