Let N1 T T 0 And N2 T T 0 Be Two Independent Time Homogeneous Poisson Processes

/in /by

Let {N1 (t), t ≥ 0} and {N2 (t), t ≥ 0} be two independent, time homogeneous Poisson processes with constant rate λ1 and λ2 respectively. Then, for a fixed time point t, the distribution of the random variable N1 (t) + N2 (t) is what?

Is it is a poisson process, if yes then with what parameters?

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
ORDER NOW