# Questions tagged [joint-distribution]

Joint probability distribution of several random variables gives the probability that all of them simultaneously lie in a particular region.

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### Rewrite joint probability as product of marginals when all the probabilities are $1$ or $0$

I have a question about the possibility of rewriting a joint probability as the product of the marginals when all the probabilities can only take value $1$ or $0$. I start with introducing some ...
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### Gibbs algorithm using negative binomial produces NAs

I have the following full conditionals distributions: $$X_2|X_1=x_1\sim Bin(x_1,p)\\ X_1|X_2=x_2\sim NegBin(x_2,p)$$ So I'm using the following code to generate a sample from each one: ...
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### Distribution of the Sum of 2 Rayleigh Distributed Values

Problem I have been trying to determine the distribution of the sum of 2 values sourced from a Rayleigh distribution with the parameter $\sigma$. Unfortunately, I am unable to match a computer ...
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### Conditional Probability vs Conditional Probability Distribution

I am having hard time interpreting the relationship, if any, between conditional probabilities vs. conditional probability distributions, in particular, regarding the number of random variables ...
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### Conditional probability of n sequential time series points

I have hourly road traffic volume data. While I assume the volume data can be defined as normally distributed, there is some correlation. i.e. The traffic in the past hour may affect the traffic in ...
$\newcommand{\norm}[1]{\left\lVert#1\right\rVert}$ We have an $n$-variate distribution $X\in\{0,1\}^n | \sum_i^n X_i = k$. Or, in other words, we are guaranteed that only $k$ variables will be $1$ in ...