A computer network experiences 4 disconnections in one minute, 2 in another minute and 7 in another minute. Assume the number N of disconnections in one minute follows a Poisson distribution with parameter Λ, so
Pr(N=k)= ((e^-/\ )*(/\^k)) divided by k!
(a) Given this data, a likelihood function L for the parameter Λ.
(b) Find all the critical points of L.
(c) Find the maximum likelihood estimator Λ.
A computer network experiences 4 disconnections in one minute, 2 in another minute and 7 in anoth...
2. A computer network experiences 4 disconnections in one minute, 2 in another minute and 7 in another minute. Assume the number N of disconnections in one minute follows a Poisson distribution with parameter Λ, so Pr(N = k) = e −ΛΛ k k! . (a) Given this data, a likelihood function L for the parameter Λ. (b) Find all the critical points of L. (c) Find the maximum likelihood estimator Λ.
Return to the original model. We now introduce a Poisson intensity parameter X for every time point and denote the parameter () that gives the canonical exponential family representation as above by θ, . We choose to employ a linear model connecting the time points t with the canonical parameter of the Poisson distribution above, i.e., n other words, we choose a generalized linear model with Poisson distribution and its canonical link function. That also means that conditioned on t,...
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