# Questions tagged [distribution-identification]

Questions about recognizing a probability distribution from a figure, formula, or text description. Please use a specific, informative title.

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### Altiplano distribution---Distributions very flat around the center?

(This comes from a Facebook post, reference at the end) "Everybody knows" that the function $x \mapsto \exp\left(-1/x^2 \right)$ is infinitely differentiable, but not (real) analytic, ...
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1 vote
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### Is this the CDF of a known probability distribution?

Consider the following cumulative distribution function over $\mathbb{R}^{+}$ $F\left(x\right)\;=\;1+\mathcal{W}\left(-e^{-1-x}\right)$ where $\mathcal{W}\left(\cdot\right)$ is the Lambert W function. ...
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1 vote
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### Estimating the Distribution of the data

I wanted to know the distribution of some discrete points and they don't follow any particular distribution according to the graphical and other methods. So, I thought of applying non-parametric ...
43 views

### What distribution has CDF $\propto \psi ^{(1)}\left(x^{-\frac{1}{2}}\right)$

Is there a way to express random variable with the following CDF $g(x)$, $x\ge 0$, in terms of known named distributions? $$g(x)\propto \psi ^{(1)}\left(x^{-\frac{1}{2}}\right)$$ where $\psi^{(k)}$ is ...
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### What is this distribution called by?

I have pdf of a continuous distribution as below $$f\left(x\right)=\frac{1}{\sqrt{2 \pi x^3}} e^{-\frac{1}{2} {\left( \frac{x-\mu}{\mu \sqrt{x}} \right)}^2}$$ Is there any specific name for this ...
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1 vote
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### What kind of distribution might this be? [closed]

I have ran a series of experiments on a theoretical system. For a relatively small number of runs (~30) the data is normally distributed, but for longer runs (~200), a tail develops on the right... ...
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### Which distribution is it?

I recently came across the following distribution $$\Pr(X\le x)=e^{\tfrac{1}{a}-\tfrac{1}{x}}\left(\dfrac{a}{x}\right)^{\tfrac{1}{a}},\; 0\le x< a,$$ and the cdf is 0 for all $x\lt 0$ and 1 for ...
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### Distribution of the ratio of dependent non-central chi-square random variables

I am working on a problem that is similar to the one discussed in this link. But in my case $X_i \sim \mathcal{N}(1, \sigma^2)$, i.e., $X_i$ is not a zero-mean Gaussian RV. Specifically, I want to ...
59 views

### Thoughts on a distribution

I've been having trouble figuring out an appropriate distribution for this data. I wanted to ask for any thoughts. I have percent incidence data (0-100%; not integers) for disease. Using ...
1k views

### Simulate skewed distribution

I want to simulate a left-skewed distribution in R similar to this one: I can do it with rbeta ...
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1 vote
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### What the type of distribution may mean?

Some time ago I crossed paths with a textbook that had a whole back chapter on this subject. I loaned it to a co-worker and it went missing. The book was for modeling and simulation people who were ...
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### What distribution could the data stem from?

From checking the histogram of the distribution I had the intuition that the data could follow a Poisson or an exponential distribtuion. However, Lilliefors test that the data is exponentially ...
107 views

### Estimating the blockchain mining time for $N$ nodes

I am trying to simulate a set of times for the below problem. There are N nodes. Each node generates a random number($R$) in the range $[0,K]$ per second. Guess the time it takes by each node to ...
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### Test for statistical distribution

I'm new to statistical analysis and I'm trying to identify which distribution fits my BD better. My BD has length of stay (LOS) data in two different hospitals: ...
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### What kind of distribution does this have?

Currently I'm trying to figure out the distribution of the following: $X \sim \frac{\sqrt{n}}{\sqrt{Gamma(n,\beta)}}$ where the denominator follows a $Gamma(n,\beta)$ distribution. I've checked out ...
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### calculate mean of normal distribution given SD and probability corresponding to a single range

Suppose that I have a normally distributed variable with unknown mean and known SD: $X \sim N(\mu, 1)$. I also know that $P(-2 < X < 2) = 0.3.$ Is it possible to calculate $\mu$ from this ...
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### Is there a way to find a statistical distribution for the below data?

Is there a way to find a statistical distribution for the below data? This is derived from frequency count of different topics in a large corpus of news stories. I wonder if this follows a Poisson ...
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### What's the name for a distribution where at the extreme there are more values farther away from the mean than closer?

The image below from this blog provides a good example. I'm talking about distributions that are roughly Gaussian except that there are more values at the high end that would be expected. In ...
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### QQ plot distribution check

I want to check if a distribution is log normal or not by using qq plot. So for convenience I am creating a lognormal distribution using stats and checking it in ...
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### Are there any methods to test whether a data set obeys a certain probability distribution?

If one has a set of data, are there any methods or techniques of testing whether that set obeys a candidate distribution? I have thought of a number of possibilities: Simply histogram and look at it, ...
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### How can I identify an unfamiliar cumulative distribution function?

I have 116 Bessel-corrected sample variances (average of squared distances from sample mean), each from a sample of three measurements. All measurements were done using the same method. I had ...
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### What is the name of this distribution?

I came across this: a categorical distribution with $K=10,000$ parameters (categories), and we take only few samples from this distribution, say $N=400$ (the point is $N < K$). Now, obviously, not ...
663 views

### Identifying the following distribution

I have a distribution, which I initially assumed to be a Rayleigh, but it almost certainly isn't. Before I consider convolutions of various distributions, e.g. Rayleigh convolved with Boltzmann, ...
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### How can i find a suitable distribution that fits my data?

I have some data on prevalence of a given infection, provided for each country for 6 different age groups. I am trying to find a suitable distribution that may be suitable to model capture the ...
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1 vote
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### Compare distribution to given shapes to find the most similar

I have a multiple comparison problem between some thousands of correlation distributions and given shapes. I have computed pair-wise correlation for a given set of gene expresion data, and I have ...
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### Name for a distribution between exponential and gamma?

The density $$f(s)\propto \frac{s}{s+\alpha}e^{-s},\quad s > 0$$ where $\alpha \ge 0$ is a parameter, lives between the exponential ($\alpha=0$) and $\Gamma(2,1)$ ($\alpha \to \infty$) ...
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### Identifying a distribution

I am trying to understand what sort of distribution is produced by the following code. Using the following Matlab code we can generate a distribution (normalized such that the sum of the set is equal ...
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### Can anyone suggest a distribution for this histogram

I have some data and I am trying to identify its distribution. The nearest I can get is a skewed-Gaussian distribution, but I don't think it is. The data itself consists of 130000 points and is binned ...
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### Name this distribution!

While looking for a link function for my model I realized I cannot find a good fit for the distribution of my Y (see fig. below). It is the distribution of number of offspring for a given season, the ...
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### Understanding the Cullen and Frey plot

I would like to figure out which distribution fits my data best. Here is the histogram of my data : I used the fitdistrplus package in R to try to find the best ...
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