Timeline for Probabilty measures that are both discrete and continuous
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 4, 2023 at 7:59 | comment | added | Nate Eldredge | Well, then it depends on what "different measure" you have in mind. There's no universal choice. Indeed, given any $\sigma$-finite measure $\mu$ on an uncountable Polish space $S$, there exists a probability measure $P$ which is singular to $\mu$. | |
| Dec 3, 2023 at 13:36 | comment | added | Iris Allevi | I'd like to write a density with respect to a different measure, e.g. the product measure of the Lebesgue and counting measures. | |
| Dec 3, 2023 at 13:29 | vote | accept | Iris Allevi | ||
| Dec 3, 2023 at 4:23 | history | became hot network question | |||
| Dec 2, 2023 at 20:22 | comment | added | Gerald Edgar | Can you just take $\mu = P$? Then $P$ has density identically $1$ with respect to $\mu$. | |
| Dec 2, 2023 at 19:29 | comment | added | Michael Hardy | My answer below explains the proper way of using the word "discrete" in this context (which differs from what your question seems to suggest) and says something about how "continuous" is to be understood as well. | |
| Dec 2, 2023 at 19:18 | review | Close votes | |||
| Dec 16, 2023 at 3:05 | |||||
| Dec 2, 2023 at 19:07 | answer | added | Michael Hardy | timeline score: 4 | |
| Dec 2, 2023 at 18:45 | answer | added | Mark Schultz-Wu | timeline score: 6 | |
| S Dec 2, 2023 at 18:31 | review | First questions | |||
| Dec 2, 2023 at 19:10 | |||||
| S Dec 2, 2023 at 18:31 | history | asked | Iris Allevi | CC BY-SA 4.0 |