Consider independent observations y1,,yn from the model YiPoisson() . Using likelihood L() and log-likelihood l() as appropriate, compute the following items.

1.Derive the maximum likelihood estimate ^ .

2.Write the second derivative of log-likelihood l() .

3.Give an expression of the approximated asymptotic standard error of by plugging inand then s.e.() =

4.Consider data 9, 6, 12, 8, 9, 15, 8, 11, 10, 8. Using your formul, compute and write numerical estimates , s.e.() and give a 95% confidence interval for using the normal approximation.