Skip to main content
20 events
when toggle format what by license comment
Nov 30, 2022 at 21:50 vote accept Thomas Kojar
Oct 2, 2019 at 23:02 comment added Thomas Kojar actually, it is fine, try using the proof for BM having the Strong Markov Property and you will see. Then use that T and X are inverses of each other. I assumed you made a typo writing $T_{a_{\epsilon}}+x-T_{a_{\epsilon}}$ as opposed to $T_{a_{\epsilon}+x}-T_{a_{\epsilon}}$ .
Oct 2, 2019 at 21:34 comment added Mateusz Kwaśnicki Your reasoning in item 2) seems to be flawed: equality in distribution of $X_{T_a+\epsilon+t} - X_{T_a+\epsilon}$ and $X_t$ does not imply that $T_{a_\epsilon}+x - T_{a_\epsilon}$ has the same distribution as $T_x$. Not only one would need equality in law rather then in distribution; even then one would need $X_{T_{a+\epsilon}+t} - X_{T_{a+\epsilon}} \stackrel{d}{=} X_t$ rather than $X_{T_a+\epsilon+t} - X_{T_a+\epsilon} \stackrel{d}{=} X_t$ (watch the nested subscripts).
Oct 2, 2019 at 20:57 history edited Thomas Kojar CC BY-SA 4.0
added 528 characters in body
Oct 1, 2019 at 20:17 history edited Thomas Kojar CC BY-SA 4.0
added 22 characters in body
Oct 1, 2019 at 19:11 answer added Mateusz Kwaśnicki timeline score: 1
Oct 1, 2019 at 17:56 history edited Thomas Kojar CC BY-SA 4.0
added 116 characters in body
Oct 1, 2019 at 17:36 history edited Thomas Kojar CC BY-SA 4.0
added 19 characters in body
Oct 1, 2019 at 17:30 history edited Thomas Kojar CC BY-SA 4.0
added 19 characters in body
Oct 1, 2019 at 12:20 answer added mike timeline score: 1
Oct 1, 2019 at 0:06 history edited Thomas Kojar CC BY-SA 4.0
edited title
Sep 30, 2019 at 23:51 history edited Thomas Kojar CC BY-SA 4.0
edited body
Sep 30, 2019 at 23:45 history edited Thomas Kojar CC BY-SA 4.0
added 99 characters in body
Sep 30, 2019 at 23:39 history edited Thomas Kojar CC BY-SA 4.0
added 99 characters in body
Sep 30, 2019 at 22:37 history edited Thomas Kojar CC BY-SA 4.0
added 2 characters in body
Sep 30, 2019 at 21:28 history edited Thomas Kojar CC BY-SA 4.0
added 144 characters in body; edited title
Sep 30, 2019 at 20:49 history edited Thomas Kojar CC BY-SA 4.0
added 1 character in body
Sep 30, 2019 at 18:36 history edited Thomas Kojar CC BY-SA 4.0
added 4 characters in body
Sep 30, 2019 at 18:25 history edited Thomas Kojar CC BY-SA 4.0
added 2 characters in body
Sep 30, 2019 at 18:19 history asked Thomas Kojar CC BY-SA 4.0