The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [bivariate]

Joint probability distribution of two variables.

212 questions
Filter by
Sorted by
Tagged with
35 views

Example: Writing the joint PDF $f(x, y)$ as the product of a marginal and a conditional probability function

I am presented with the following notes on Bivariate distribtions: If we can write the joint probability density function $f(x, y)$ of a pair of random variables $(X, Y)$ as the product of a ...
26 views

299 views

Given bivariate data (X, Y), how to determine a cut-off of X that meets some condition of Y?

I have two distributions, $X$ and $Y$ (shown on the horizontal X axis and vertical Y axis, respectively, see image), that represent different ways of scoring some complex system. For a subset of ...
173 views

Numerical computation of the means and covariance in a truncated bivariate normal distribution

How can I compute the means and covariance of a truncated bivariate normal distribution? I am particularly worried about the case when the truncation occurs very far from the mean. Is there a robust ...
108 views

Creating a bivariate distribution with one customized marginal distribution

I am looking at modelling a bivariate distribution with observed data from distributions that look like this: Variable 1's distribution looks like a gamma distribution and variable 2's distribution ...
676 views

Copula for non-standard distributions in R

I'm trying to model a bivariate distribution using copulas in R. See image below for the pairs plot of the data. Variable 1 can be modeled nicely using a gamma distribution, but variable 2 fails ...
I have a Bivariate continuous random variable (X,Y) with joint probability density function $f_{X,Y}(x,y) = \{{6(y^2-x^2)}$ for $0 < x < y < 1$ (0 otherwise) I want to work out \$P(X + Y &...