Factorization Theorem
Identifying a sufficient statistic resorts most often to the Factorization Theorem which states that if a distribution p(x; θ) is such that the joint distribution of the sample L(X; θ) can be factored as ...
The unique factorization theorem says that every positive integer number greater than 1 can be written in only one way as a product of prime numbers.
Lenat claimed that the system had rediscovered both Goldbach's conjecture and the Unique Prime Factorization Theorem. Later critics accused Lenat of over-interpreting the output of AM.
 See also: Sufficient statistic, Distribution, Estimation, Demon, Uniform distribution
  
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