13.07.2015 Views

Central Limit Theorem, Random Walk, Brownian Motion

Central Limit Theorem, Random Walk, Brownian Motion

Central Limit Theorem, Random Walk, Brownian Motion

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Gambler’s RuinCLT and<strong>Random</strong><strong>Walk</strong>JeffreySchenkerRemember, we each start with $10.A GameWorking onthe ProblemInterlude:Gambler’sRuinCLTRand. <strong>Walk</strong><strong>Brownian</strong><strong>Motion</strong>The game stops when your total winnings W nreach either$10 (you win all my money)or −$10 (I win all your money)But, will the game always reach an end?How can we tell?

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!