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Suppose that y,k are non-negative integers and , 0 and so that y | k, follows a Negative Binomial distribution with stopping rule k + 1 failures...

Suppose that y,k are non-negative integers and λ,θ > 0 and

so that y | k,θ follows a Negative Binomial distribution with stopping rule k + 1 failures and probability of failure in each trial p = θ/(1+ θ) .

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