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 Yearling
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awarded  Yearling
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awarded  Notable Question
Jul
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comment What is meant by “constant” in the optional stopping theorem?
Is the optional stopping theorem still true with a definition of stopping time that allows it to be infinite? I think no: let the random walk stop moving as it reaches $m$ or $-m$, but define the stopping time to be the time it reaches $m$; this stopping time is infinite but if we could use part (c) we got a contradiction.
Jul
10
comment What is meant by “constant” in the optional stopping theorem?
Thank you! I did not encounter that definition of stopping time before (I'm in the "some cases" of the Wikipedia definition en.wikipedia.org/wiki/Stopping_time#Definition).
Jul
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accepted What is meant by “constant” in the optional stopping theorem?
Jul
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asked What is meant by “constant” in the optional stopping theorem?
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awarded  Tumbleweed
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asked Some questions about a “relaxed” invariant probability problem $|\mu(P-I)|\leq \epsilon$
Feb
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awarded  Yearling
Jan
29
accepted How to formally write a property of a specific coloring of a graph.
Jan
28
asked How to formally write a property of a specific coloring of a graph.
Dec
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awarded  Analytical
Dec
2
accepted On the meaning of the equal sign when used to define the event of a r.v. taking some value.
Dec
2
comment On the meaning of the equal sign when used to define the event of a r.v. taking some value.
@MichaelHardy sorry, I rewrote $\{\omega : X(\omega)=k-Y\}$ without noticing to become redundant.
Dec
2
asked On the meaning of the equal sign when used to define the event of a r.v. taking some value.