(Solved) Let Wk be the time to the kth birth in a pure birth process

July 21, 2017UncategorizedBy classhelp24@gmail.com [email if you need fresh paper done]

Let Wk be the time to the kth birth in a pure birth process starting from X(0) = 0. Can you establish the equivalence?

Pr(W₁ > t, W₂ > t + s) = P₀(t)[P₀(s) + P₁(s)]?

Can you determine the joint density for W₁ and W₂, and then the joint density of S₀ = W₁ and S₁ = W₂ – W₁?

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