Recent content by ensei

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    Graduate Convergence of non increasing sequence of random number

    All the elements of the sequence are bounded below by c. So, I am not sure what are you trying to say. can you please elaborate?
  2. E

    Graduate Convergence of non increasing sequence of random number

    I have a non-increasing sequence of random variables \{Y_n\} which is bounded below by a constant c, \forall \omega \in \Omega. i.e \forall \omega \in \Omega, Y_n \geq c, \forall n. Is it true that the sequence will converge to c almost surely? Thanks