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  2. MATHEMATICAL TRIPOS Part IA Friday, 1 June, 2018 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperia_2_2018.pdf
    17 Jun 2019: Part IA, Paper 2 [TURN OVER. 8. 11F Probability. (a) Consider a GaltonWatson process (Xn). ... In the case of a GaltonWatson process with. P(X1 = 1) = 1/4, P(X1 = 3) = 3/4,.
  3. MATHEMATICAL TRIPOS Part III Monday, 11 June, 2012 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_9.pdf
    30 Aug 2019: λeλ. 4. (i) Let T(n,p) be the GaltonWatson branching process with offspring distribution Bi(n, p).Show that, for p = (1 ε)/n, with ε > 0 small, the ... survival probability ρ = ρ(n,p) of thebinomial GaltonWatson branching process Tn,p
  4. MATHEMATICAL TRIPOS Part IA 2018 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/list_ia_2018.pdf
    21 Aug 2019: 11F Probability. (a) Consider a GaltonWatson process (Xn). Prove that the extinction probability q isthe smallest non-negative solution of the equation q = F(q) where F(t) = ... In the case of a GaltonWatson process with. P(X1 = 1) = 1/4, P(X1 = 3)

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