# Questions tagged [distributions]

A distribution is a mathematical description of probabilities or frequencies.

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### Find distribution of the transformation $Y'(I-P_1)Y$ given distribution of $𝑌_{nx1}$ ~ 𝑁$(𝜇1, 𝜎^2𝐼)$

I am currently self learning econometrics from A Course in Econometrics of Goldberger and I'm attempting a problem sheet from the course given by my uni. The problem is the following: Let $𝑌_{nx1}$ ~�...
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### Which probability result is greater? Using hypergeometric distribution or binomial distribution?

Suppose I have $N$ samples, and 1/4 of them are bad. I draw $n$ samples $(n<N)$, and I want to know what's the probability that less than 1/3 are bad. I know it should use hypergeometric ...
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### Fitting a sample streamflow data to log-normal distribution

So I'm a beginner at python and I have a streamflow data for 132 months and I need to fit every months streamflow data to lognormal distribution and finally plot the original data and fitted data on ...
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### How to do a statistical test for numeric data that is discretised and broken down by groups

Background I have a situation where I have data on bank balances available with various respondents, and a flag for whether they completed a desired action (i.e., whether they purchased a loan or not)....
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### In which scenarios is the exponential power distribution better than the t-student distibution?

I know there are some differences between these two distributions (exponential power distribution does have a cusp at the origin and t-student doesn't), but there are also similarities (heavy tails). ...
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### Probability density function for possible intersections/conjunctions

Imagine the following scenario: There are n senators voting on two bills to be passed. A fraction of n voted to pass each bill respectively. For simplicity, let's assume n/2 senators voted for bill 1 ...
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### Existence of moments of random variables

I need to find an example of two random variables that share equal moments up to say 3 and no other moment exists. How should I go about approaching this problem? I tried to define two polynomial mgfs ...
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### Identify the distribution/family of a variable

I have this distribution for my response variable that I want to use to build a model with a binary matrix as predictor variable. I think to use glm to do this, but I don't know which family to use, ...
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### Poisson Distribution vs Poisson Process [duplicate]

I need to understand the relation between both these concepts with an example. I have an good understanding of Poisson distribution and it's applications. But I am having difficulties linking it to ...
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### What distribution may electric vehicle battery capacity data follow?

I'm trying to find out the shape of the curve that reflects electro vehicles battery degradation data (depending on cumulative travelling distance). The red line on the plot doesn't seem a perfect fit....
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### What is the difference between statistical distribution and probabilistic distribution?

What is the difference between statistical distribution and probabilistic distribution? Are these terms used interchangeably? Are they same or different?