Determine which of the above processes

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Let {X(t), t ≥ 0} and {Y(t),t ≥ 0} be independent Poisson processes with parameters λ1 and λ2, respectively. Define Z1(t) = X(t) + Y(t), Z2(t) = X(t) - Y(t), Z3(t) = X(t) + k, k a positive integer. Determine which of the above processes are Poisson and find λ.

Reference no: EM13760471

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