Timeline for why can two random variables be added only when they have the same domain?
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2 events
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| Sep 29, 2019 at 19:52 | comment | added | figs_and_nuts | What should the meaning of X+Y as a random variable be if the sources of randomness in X and Y were distinct? You sample event A From domain of X.. record X(A) .. you sample event B from domain of Y ... Record Y(B) ... Add X(A) and Y(B).. this is one realization of r.v. X+Y .. it's sample space is Cartesian product of domains of X and Y.. | |
| Sep 29, 2019 at 13:00 | history | answered | kjetil b halvorsen♦ | CC BY-SA 4.0 |