Let xt t ge 0 be a poisson process with intensity parameter, Mathematics

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Let xt t ge 0 be a poisson process with intensity parameter

Let {X(t), t ≥ 0} be a Poisson process with intensity parameter λ. Suppose each arrival is "registered" with probability p, independent of other arrivals. Let {Y(t), t ≥ 0} be the process of "registered" arrivals. Prove that Y(t) is a Poisson process with parameter λp.

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Mathematics: Let xt t ge 0 be a poisson process with intensity parameter

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Mathematics: Let xt t ge 0 be a poisson process with intensity parameter

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