Let x 1 , x 2 , be a sequential sample from a Poisson distribution P() Suppose that the stopping rule is to stop sampling at time n 2 with probability for n 2, 3, (define 0 0 1) Suppose that the first five observations are 3, 1, 2, 5, 7 and that sampling then stops Find the likelihood function for ...

To find the likelihood function for the parameter in a Poisson distribution we need to consider ...

Let x 1 , x 2 , ... be a sequential sample from a Poisson distribution P().

Question:

Let x₁, x₂, ... be a sequential sample from a Poisson distribution P(λ). Suppose that the stopping rule is to stop sampling at time n ≽ 2 with probability

Xi Xi

for n 2, 3, ... (define 0/0 = 1). Suppose that the first five observations are 3, 1, 2, 5, 7 and that sampling then stops. Find the likelihood function for A (Berger, 1985).

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