Timeline for What are the units of a convolution?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 7, 2018 at 17:12 | vote | accept | rhombidodecahedron | ||
| Mar 6, 2018 at 11:46 | answer | added | kjetil b halvorsen♦ | timeline score: 4 | |
| Mar 25, 2017 at 14:23 | comment | added | whuber♦ | @Yves I think you're right. I have answered several questions that needed only a basic understanding of units to resolve and have been thinking that a canonical thread that lays out the "units calculus" could be useful. | |
| Mar 25, 2017 at 9:56 | comment | added | Yves | @whuber A probability density has a unit depending on the r.v. of interest as do moments, regression coefficients and most of concepts used by statisticians. These units are not necessarily from physics and can relate e.g. to economics. While most textbooks of applied statistics do not care much about this, it may be worth a discussion. Maybe a question on this topic could help? | |
| Mar 20, 2017 at 13:40 | comment | added | whuber♦ | For this question to be answerable, you also need to specify the units of $\tau$. Regardless, this question seems to have little to do with statistics: whenever such convolutions arise in statistics, $f$ and $g$ are either probabilities or probability densities, not physical quantities. Perhaps you would get more relevant answers by migrating your question to Physics? | |
| Mar 20, 2017 at 7:38 | comment | added | Yves | Well a integral behaves like a sum. So if $t$ and $\tau$ are time in seconds the result is in meters * Hertz * seconds = meters. Then $g$ is a transfer function transforming a signal expressed in meters. | |
| Mar 20, 2017 at 4:16 | history | asked | rhombidodecahedron | CC BY-SA 3.0 |