Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Calculus and Beyond Homework Help
Expected values in Probability space
Reply to thread
Message
[QUOTE="Lily@pie, post: 4366526, member: 314384"] [h2]Homework Statement [/h2] Let a probability space be [itex](Ω, \epsilon, P)[/itex]. A set of random variables X[SUB]1[/SUB],...,X[SUB]n[/SUB] Give an example where [itex]I_{p}(lim inf_{n -> ∞}X_{n}[/itex]) < [itex]lim inf_{n -> ∞}I_{p}(X_{n})[/itex] [b] The attempt at a solution[/b] I know that [itex]I_{p}(lim inf_{n -> ∞}X_{n}[/itex])=[itex]E[lim inf_{n -> ∞}X_{n}[/itex]] and [itex]lim inf_{n -> ∞}I_{p}(X_{n})[/itex] = [itex]lim inf_{n -> ∞}E[X_{n}][/itex] I think I need to find a sequence of X[SUB]n[/SUB] such that lim inf X[SUB]n[/SUB] will have a smaller value than all the individual expected value, E[X[SUB]n[/SUB]]. Am I on the correct path? I'm kind of stuck here and not sure how to proceed. Would be really really thankful for the help. [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Calculus and Beyond Homework Help
Expected values in Probability space
Back
Top