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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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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59 views

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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25 views

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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45 views

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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1answer
68 views

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 ...
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Question on excluding one point on the support of a continuous random variable

Suppose that I have a continuous random variable $X$ which has a support equal to $\mathbb{R}$. Can I construct a new random variable $Y$ such that it is equal in distribution to $X$ on the support of ...
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59 views

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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1answer
50 views

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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1answer
193 views

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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2answers
203 views

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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1answer
122 views

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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2answers
2k views

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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2answers
188 views

What does the distribution of bootstrapped values in this Cullen and Frey Graph tell me?

I am trying to find a suitable distribution to describe my data, and as one of the first few steps I created a Cullen and Frey Graph using the descdist command from ...
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Identifying the best fitting distribution type to test

Hi I tried to analyze a dataset, of USDT concurrency and following is the frequency distribution I received for log return I need this dataset to fit for a particular distribution. Can we suggest ...
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3answers
398 views

How to determine which distribution fits my data set?

I have this data set which I am trying to find which distribution my data set can be accurately represented by using r. I performed the Shapiro-Wilk test and found that my data does not come from a ...
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0answers
38 views

Identifying the distribution of this data

I'm working with a datetime series, and each observation is the count of occurrences per that period. This sounds to me like these values would be Poisson distributed. But my EDA has left me ...
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3answers
108 views

How long is a distribution considered normal?

I have a dataset of metric distances ($n=5800$) and plotted those as a histogram. My initial thought was that this distribution looks normal. But after performing a Shapiro Wilk test and plotting the ...
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1answer
278 views

Is there a common underdispersed discrete distribution with unbounded support for general mean and variance?

I have a mean $\mu$ and a variance $\sigma^2$ with underdispersion, i.e., $\sigma^2<\mu$. Is there a standard discrete distribution with these moments and unbounded-on-the-right support, i.e., ...
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1answer
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What kind of distribution is this?

I'm sorry is this is too obvious, but I'm having a hard time trying to find a distribution for my data. It is clearly not a normal distribution. It does not seem to be skewed, but seems to have fat ...
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2answers
88 views

What kind of frequency distribution is this?

I have a discrete frequency distribution, that looks like this I am trying to find what type of distribution is it? I looked at many models but it does not seem to comply with any. I have 345 ...
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1answer
119 views

Are the data in this figure normally distributed?

What kind of distribution is figure 2 in this study? If it's a Gaussian distribution for the LH hormone, I can't make any sense of the data. The article: Aksglaede, L. et al. (2009): Recent decline ...
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45 views

Identify the underlying distribution from multiple samples

I have $30$ unequal samples ($n_i >1000$) from a supposedly same population. How should I go about identifying the underlying distribution of the population using these $30$ samples simultaneously? ...
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0answers
27 views

Distribution of relative proportions of draws from two uniform distributions

Drawing samples from 2 uniform distributions and calculating pairwise proportions of drawn values gives rise to a distribution I cannot recognize. What distribution is this? ...
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0answers
59 views

Determining the distribution of data

Hi, I am a student learning financial modelling. I would like some help in determining the distribution of the data given the plots above. I am reluctant to assume normal distribution of the data due ...
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522 views

If this is a log normal distribution, how can I fit it?

The qualified question title hints at my not being certain as to what I'm really dealing with. I have some truly random samples that generate the following graph. This is just a small extract and ...
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2answers
156 views

How to determine the distribution iof this transformed variable $X_c = X ({1_{\{|X|>c\}}}-{1_{\{|X|\le c\}}})$

I have one question from econometric class which asks to find the probability distribution of the following: $$X_c = X ({1_{\{|X|>c\}}}-{1_{\{|X|\le c\}}}) $$ where $X \sim N(0,1)$ and $c > 0$...
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1answer
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KS, Anderson-Darling and Cramer -Von Mises don'y work on these data . Why? [closed]

I am using Mathematica to model the distribution of the data below and I test the fits with AD, CVM and KS but none of them seems to work I was told that my data may have an excessive amount of ties. ...
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2answers
1k views

How to determine the type of probability distribution for a dataset?

I have aggregated(total) youtube videos views. I have take log of that views. And calculated autoregressive koefs that can be used for the video views predictibility tests. Let say I have aggregated ...
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55 views

Looking for a good distribution to analyse market dynamics

I'm experimenting with replacement for normal distribution for my models. So far, I tried Gamma and Inverse Gamma distributions. Gamma significantly underestimates the probability of the extreme ...
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0answers
170 views

What distribution should my data on sales follow

I'm a chain store and have many stores across the country that all sell a particular shampoo product P. I have made a plot as shown in the image below. For example, 30 stores each sold 1 of P in the ...
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3answers
208 views

What kind of distribution is this? (Number of stones until 2 are adjacent in a game of Go)

I've plotted the histogram of the number of stones required so that 2 are adjacent when randomly placed 1 by 1 on a goban (think of a 19x19 chessboard and I place pieces 1 by 1 until 2 are adjacent, ...
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3answers
1k views

Does this distribution have a name? $f(x)\propto\exp(-|x-\mu|^p/\beta)$

It occurred to me today that the distribution $$ f(x)\propto\exp\left(-\frac{|x-\mu|^p}{\beta}\right) $$ could be viewed as a compromise between the Gaussian and Laplace distributions, for $x\in\...
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283 views

Distinguish between distributions

I have the following data frame and want to know what distribution is consistent with it. ...
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1answer
269 views

Right angled Triangular distribution

I have an empirical probability distribution which looks somewhat like a right angled triangle. I am trying to model a process which relys on a semi accurate model of this distribution. There isn't ...
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64 views

Any one knows what the distribution with density $\frac{{x{e^{ - \frac{{{x^2}}}{{2t}}}}}}{{\sqrt {2\pi {t^3}} }}$ is?

As the title, any one knows what the distribution with density $f(x)=\frac{{x{e^{ - \frac{{{x^2}}}{{2t}}}}}}{{\sqrt {2\pi {t^3}} }}$ is? Thank you!
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1answer
119 views

What distribution is this? (time until task completion and submission)

I am looking at submission data—the length of time it takes for someone to complete a flow which involves submitting an item of content. I am getting the following distributions. I have two ...
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0answers
315 views

Distribution with a given moment generating function

As a follow-up to a question on a central limit theorem for independent random variables (r.v.) here, let $Y_j=-\log(1-V_j)$, where $V_j\sim\mbox{beta}(1-\sigma,j\sigma)$, $j\in\mathbb{N}^*$, $\sigma\...
142
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2answers
194k views

How to determine which distribution fits my data best?

I have a dataset and would like to figure out which distribution fits my data best. I used the fitdistr() function to estimate the necessary parameters to ...
2
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1answer
27 views

Modeling Smooth Decay on Logarithmic Y

I have an empirical distribution that looks like the the image below and I hoping to model it with some parametric distribution. The X axis measures "number of ...
3
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1answer
272 views

What is this distribution? (time-delays between two events)

I have a right-skewed distribution that has this qq-plot against a normal with the same mean and standard deviation: The data are time-delays between two events. Also, this is the histogram of the ...
2
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1answer
206 views

What is this distribution? $(x-1) \theta^2 (1-\theta)^{x-2}$

Does anyone know what the following distribution is, please? I can tell it is discrete and $\theta$ is somehow a probability. Thank you! $$\mathbb P_X(x; \theta) = (x-1) \theta^2 (1-\theta)^{x-2}, \ \...
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1answer
186 views

The number of times a CI contains the true value: What distribution does this follow?

Suppose we repeat an experiment identically and independently 100 times. Each time we construct a 99% confidence interval for $\mu$ via the t-distribution. Let X = the number of times the confidence ...
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3answers
23k views

What distribution does my data follow?

Let us say that I have 1000 components and I have been collecting data on how many times these log a failure and each time they logged a failure, I am also keeping track of how long it took my team to ...
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0answers
209 views

What is the name of the distribution whose support is (0,1) and whose pdf kernel is exp(ax) - 1?

Does this probability distribution have a name? $$f_a(x) dx = \frac{a}{e^a-(a+1)} \left(e^{a x} - 1\right) dx, \quad 0 \le x \le 1.$$ Edit: I want $a$ to be positive. I don't think this is what is ...
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2answers
552 views

Distribution of values in a time series (tidal data)

I was trying to help my colleague with fitting a distribution curve to some empiric data (these are sea water level observations at different time points). However, I haven't succeeded since it's my ...
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3answers
468 views

What kind of distribution is this “almost” uniformly distributed data for calls/week?

My supervisor asked me to find out which distribution represents a particular situation. I have a VoIP generator that generates calls "uniformly" distributed between callers. This means that the ...
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9answers
6k views

How do I figure out what kind of distribution represents this data on ping response times?

I've sampled a real world process, network ping times. The "round-trip-time" is measured in milliseconds. Results are plotted in a histogram: Ping times have a minimum value, but a long upper tail. ...