Cross-entropy Method - Generic CE Algorithm

Generic CE Algorithm

  1. Choose initial parameter vector ; set t = 1.
  2. Generate a random sample from
  3. Solve for, where
  4. If convergence is reached then stop; otherwise, increase t by 1 and reiterate from step 2.

In several cases, the solution to step 3 can be found analytically. Situations in which this occurs are

  • When belongs to the natural exponential family
  • When is discrete with finite support
  • When and, then corresponds to the maximum likelihood estimator based on those .

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