Best visualization of joint/marginal distributions?

In summary, the conversation discusses the speaker's struggle with visualizing joint/marginal distributions and their desire to fully understand this concept on a statistical level. They mention being comfortable with the mathematical aspects of integration, but feeling lacking in their ability to identify the necessary limits. They inquire about the best visualizations for various forms of ƒ(x,y) given certain conditions, and mention having seen Σp(x,y) used to represent marginals. They also provide a link to a Google search for visualizations of joint/marginal distributions.
  • #1
nycixc
1
0
I'm trying to get a better visualization of joint/marginal distributions. It's my weakest conceptual area as I pursue the actuary exams, and I want to fully understand this on a more statistical level.

I've taken linear/diff-eq/multivariate, so I'm completely comfortable with the integration and other menial work involved, but I feel like I am lacking in the area of visualizing the distribution, and therefore am incorrectly identifying the limits needed. I'm used to looking at a shape and identifying the limits that way or being given the limits flat-out.

So for ƒ(x,y), what are the best visualizations you've got for:
ƒx(x), ƒy(y), ƒ(X|Y=y), and ƒ(Y|X=x), given 0 < x < y < 1 or x>0, y>0.(I've seen the marginals represented using Σp(x,y), but anything will help!)
 
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  • #2
https://www.google.com/search?q=Bes...ChMI4de43IydxwIVhnU-Ch2w9go6&biw=1024&bih=653

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