Google is coming up a bit short when I searched for "joint vs sum random variables". Perhaps someone can provide an authoritative answer to compare and contrast the sum/convolution of 2 distributions vs the joint probability distribution?
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1This would be hard to answer because a sum of random variables and a joint probability distribution are completely different objects, both mathematically and conceptually. – whuber Dec 07 '22 at 22:17
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True so maybe there isn't much compare and only contrast, or vice versa, but anything helps and will get an upvote for shore – Alexander Mills Dec 07 '22 at 22:47
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1Instead, might I suggest you research our posts on joint distributions and if--in conjunction with the duplicate post on convolutions--you are still puzzling over some aspect of the distinction, edit this post to reflect your refined question. – whuber Dec 07 '22 at 22:50
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akright, they are both distributions that result in combining two+ other distributions, so I am thinking there is plenty of compare to go with the contrast, nahmsayin? do it for search engines not just for me. I request an undo of the dupe call on OP, respectfully. It may be a stupid question, but it is a valid question and people should be free to answer it as they please. if nobody searches for it on google, it will not litter the internet. – Alexander Mills Dec 07 '22 at 22:58