Jump to content

Talk:Pushforward measure

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia


Thanks

[edit]

Thanks for elaborating this page. I have relinked to here as much as possible. Now I will take it off my watch list. Good luck! Geometry guy 00:17, 12 February 2007 (UTC)[reply]

Attention needed to the definition/examples? [Resolved]

[edit]

The first example seems to state that the measure of an arc of the circle is equal to the measure of on the real line, where is the wrap-around function. But has measure .

Should the correct definition define ? Am I missing something?

69.81.71.60 (talk) 11:54, 28 June 2017 (UTC)[reply]

No, why? It is written "Let λ also denote the restriction of Lebesgue measure to the interval [0, 2π)". Also f is defined on [0, 2π). Not infinity. Boris Tsirelson (talk) 18:47, 28 June 2017 (UTC)[reply]
I see now. Thank you! Norbornene (talk) 13:29, 9 July 2017 (UTC)[reply]

"Random variables are pushforward measures"

[edit]

As far as I can see, the following statement is false:

Random variables are pushforward measures

A r.v. defines a pushforward measure, but there is not one-to-one identification. For example, i.i.d r.v.'s define the same pushforward measure , although they are clearly distinct mappings from the probability space to a measurable space . AVM2019 (talk) 12:50, 19 May 2022 (UTC)[reply]