The zero truncated Poisson distribution has probability function given by P(X=x)= Given a random sample X,...

 

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The zero truncated Poisson distribution has probability function given by P(X=x)= Given a random sample X₁, ..., Xn, show that the method of moments estimator and the maximum likelihood estimator coincide and both satisfy 2x (e-1x! 2 for x = 1, 2, ..., in which >> 0. X= Â 1-e- The zero truncated Poisson distribution has probability function given by P(X=x)= Given a random sample X₁, ..., Xn, show that the method of moments estimator and the maximum likelihood estimator coincide and both satisfy 2x (e-1x! 2 for x = 1, 2, ..., in which >> 0. X= Â 1-e-

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To find the method of moments estimator we equate the first moment of the distribution to the first ... View the full answer