IEOR161 HW6 - N1 and N2 are consistent with Poisson...

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0 5 10 15 20 25 0 200 400 600 800 1000 1200 1400 0 5 10 15 20 25 30 0 200 400 600 800 1000 1200 1400 IEOR161 HW6 Simulation Part A: Figure 1: Histogram of N1(t) for t=10 Stats for N1: mean: 10.545800 sd: 3.231152 Part B: Figure 2: Histogram of N2(t)|N1(t)=6 Stats for N2|N1 = 6 mean: 10.489100 sd: 3.233624
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0 5 10 15 20 25 0 200 400 600 800 1000 1200 1400 0 5 10 15 20 25 0 200 400 600 800 1000 1200 1400 Figure 3: Histogram of N2(t)|N1(t)=10 Stats for N2|N1 = 10 mean: 10.507100 sd: 3.195586 Figure 4: Histogram of N2(t)|N1(t)=14 Stats for N2|N1 = 14 mean: 10.492800 sd: 3.143650 Part C:
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Unformatted text preview: N1 and N2 are consistent with Poisson Thinning Theory in that theyre independent and their distributions are passion(p*lambda*t). The mean and variance of N2 conditioned on N1 are independent as well. Part D: Figure 5: Histogram Plot of N1(T) with dependence Stats for N1: mean: 9.228800 sd: 2.694323 Figure 6: Histogram of N2(T) with dependence 5 10 15 20 25 30 200 400 600 800 1000 1200 Stats for N2: mean: 9.280100 sd: 3.783289...
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IEOR161 HW6 - N1 and N2 are consistent with Poisson...

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