As in Example 34, suppose is a Poisson process on the unit disc S in R2 with location-dependent rate λ(x, y). The Poisson process  ocation-dependent rate λ(x, y). The Poisson process M = n...

As in Example 34, suppose
is a Poisson process on the unit disc S in R2 with location-dependent rate λ(x, y). The Poisson process ocation-dependent rate λ(x, y). The Poisson process M = n δ((Xn,Yn),Xn) on S × Srepresents the number of points of N that are projected onto the x-axis S= [−1, 1]. Give an expression for the location-dependent intensity of M. Switching to polar coordinates as in Example 34, describe the process


that represents the number of points of N that are mapped onto the unit circle C.Example 34