Results 1 to 1 of 1

Thread: HELP with Probability Result

  1. #1
    Sep 2010

    HELP with Probability Result


    During the course of some proof, I encountered the following given by the author and I cannot figure out how he came by this relation (the integral part):

    T=\min\left\{ T_{1},\ldots,T_{n}\right\}
    \Pr\left(T_{1}=T\right)=\Pr\left(T_{1}=t,T=t\right  )=\int_{0}^{\infty}\Pr\left(T_{2}>t,\ldots,T_{n}>t  \right)\cdot\mathrm{d}\Pr\left(T_{1}=t\right)

    I appreciate any help ...
    Thank You - Sam
    Last edited by mr fantastic; Sep 1st 2010 at 05:19 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability- result of multiple trials
    Posted in the Statistics Forum
    Replies: 2
    Last Post: Feb 13th 2011, 06:24 PM
  2. Prove result
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: Jul 4th 2010, 02:33 PM
  3. Replies: 2
    Last Post: May 21st 2010, 10:56 AM
  4. how can u get this result?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Oct 14th 2008, 12:23 PM
  5. Division Result
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Aug 8th 2008, 09:41 AM

Search Tags

/mathhelpforum @mathhelpforum