Polyhedral Approximation of Convex Sets with an Application to Large Deviation Probability Theory

نویسندگان

  • Peter E. Ney
  • Stephen M. Robinson
چکیده

We extend the well known large deviation upper bound for sums of independent, identically distributed random variables in IR d by weakening the requirement that the rate function have compact level sets (the classical Cram er condition). To do so we establish an apparently new theorem on approximation of closed convex sets by polytopes.

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تاریخ انتشار 2007