Timeline for Questions on Notation for PMF and Expectation
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 18, 2019 at 20:29 | comment | added | Xi'an | ... (assuming $\Omega$ is the set of all possible realisations and not the standard origin set for the random variable $X=X(\omega)$...) | |
| Jan 18, 2019 at 20:23 | comment | added | Xi'an | How are $\Omega$ and $\mathcal{F}$ defined in the first quote? A pmf associates to every possible realisation of the random variable $X$ in $\Omega$ a probability between $0$ and $1$ so I see no issue with this definition. And $\mathbb{1}A(x)$ is the indicator function, taking value $0$ when $x\not\in A$ and $1$ when $x\in A$. Which is a notion unrelated with random variables. | |
| Jan 18, 2019 at 17:19 | comment | added | whuber♦ | +1 The notation in that document is shockingly sloppy. You can readily resolve your questions, though, by consulting Wikipedia. See, e.g., en.wikipedia.org/wiki/Probability_mass_function. | |
| Jan 18, 2019 at 16:27 | history | asked | Noah Stebbins | CC BY-SA 4.0 |