10 16 In the same setting as in the previous problem, let Ri denote the distance from the origin to the ith closest event to it Prove that Yi R2 i R2 i1, with i 1 being independent random variables exponentially distributed with mean 1

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Question: 10.16 In the same setting as in the previous problem, let Ri denote the distance from the origin to the ith closest event to it.

10.16 In the same setting as in the previous problem, let Ri denote the distance from the origin to the ith closest event to it. Prove that Yi = πR2 i − πR2 i−1, with i ≥ 1 being independent random variables exponentially distributed with mean 1/λ.

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