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  2. Mathematical Tripos: Part IB DJS/Lent 2017 Statistics: Example Sheet…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/ex-S1B-17-1.pdf
    17 Jan 2017: likelihood estimate of θ is (2a b)/(b 2c). 4. (a) Let X1,. ... b) For some n > 2, let X1,. ,Xn be iid with Xi Exponential(θ).
  3. The 1-2 model

    www.statslab.cam.ac.uk/~grg/papers/conm14020.pdf
    18 Aug 2017: 3.10) w(π) = 2|π(a)|a 2|π(b)|b. 2|π(c)|c ,. where π(s) is the set of open s-type edges. ... The weight functionw of (3.10) may now be expressed as. w(π) = |π(a)|a |π(b)|b. |
  4. Strong law of large numbers for the capacity of ...

    www.statslab.cam.ac.uk/~ps422/wiener7.pdf
    22 Dec 2017: compact setsA and B, and for any r > 0 with AB B(0,r),. ... Wδr [0, t] :=. i:τδi t. B(Zδi ,r), for all r 0.
  5. 8 Apr 2017: denote by f (b) = {f (b′)}b′ 6=b the entire collection of curves, potentially including the curve for the. ... 2 log(p)/n for some constant A2 > 0. Define. B = {b Rp : bN = 0}.
  6. Connective constants and height functions for Cayley graphs

    www.statslab.cam.ac.uk/~grg/papers/tran7166.pdf
    18 Aug 2017: By Theorem 4.1(b), Γ has no group height function. Remark 4.6. ... A, B] =〈[a, b] : a A, b B. 〉,. that is, the subgroup generated by all commutators [a, b] with a A, b B.
  7. CRITICAL SURFACE OF THE 1-2 MODEL GEOFFREY R. GRIMMETT ...

    www.statslab.cam.ac.uk/~grg/papers/12-final-revised.pdf
    17 Feb 2017: 2π. It suffices to assume that a b,c > 0 anda <b c. ... we have as implied in part (b) that 〈σe,σf〉 0 as |ef|.

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