Assume that y 1 , y 2 ,. .., y n are independent from a Poisson distribution.
Question:
Assume that y1, y2,. .., yn are independent from a Poisson distribution.
a. Obtain the likelihood function. Show that the ML estimator µ̂ = y̅.
b. Construct a large-sample test statistic for H0: µ. = µ0 using (i) the Wald method, (ii) the score method, and (iii) the likelihood-ratio method.
c. Construct a large-sample confidence interval for µ using (i) the Wald method, (ii) the score method, and (iii) the likelihood-ratio method.
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a expn yi so L n n y i log and L n y i 0 yi...View the full answer
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