Revision as of 06:43, 9 November 2008 by Atlyles (Talk)

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$ f_X (x;\lambda)= \lambda e^{-\lambda x} $

  • to find $ \hat \lambda_{ml} $ maximize $ \lambda e^{-\lambda x} $ by taking the derivative
  • $ -e^{-\hat \lambda x} - \hat \lambda x e^{-\hat \lambda x} = 0 $
  • $ \hat \lambda x = 1 $
  • $ \hat \lambda = 1/x $
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