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Probab. Theory Relat. Fields (2012) 153:363–404DOI…
www.statslab.cam.ac.uk/~nickl/Site/__files/ptrf12.pdf1 Jun 2012: 24]. On Sd the differential operator L coincideswith the usual Laplace–Beltrami operator, and we have. ... As mentioned in (24) abovethis is tantamount to assuming a classical t -Hölder condition on f. -
rol.dvi
www.statslab.cam.ac.uk/~grg/papers/rol.pdf15 Aug 2012: F., Percolation theory and some. applications, Itogi Nauki i Techniki (Series of Probability Theory, Mathematical Statistics,Theoretical Cybernetics) 24 (1986), 53–110. -
Collisions of Random Walks Martin T. Barlow∗ Yuval Peres† ...
www.statslab.cam.ac.uk/~ps422/collisions-rws.pdf20 Apr 2012: 24. (5.19). Hence the number of rounds before hitting the root has a Geometric distribution,so it has bounded expectation. ... 1. α2β(n1)1lk=2. Po(Zn, > 0,Zn,k > 0). (5.24). 25. We let An, = Jn,1 Jn, Jn,1, for = 1, ,α2β(n1) 1 and for = 0 we -
sjqrw3.dvi
www.statslab.cam.ac.uk/~grg/papers/sjqrw3.pdf15 Aug 2012: min h, max h] =. [. 12,. 12. ]. (24). For a general unbiased walk, we take ascoin flip the unitary matrix. ... We have as beforethat the domain of the limit distribution is asin (24). -
On adaptive inference and confidence bands
www.statslab.cam.ac.uk/~nickl/Site/__files/AOS903.pdf10 Jan 2012: Following Li [24] the bandCn is called asymptotically honest with level α for a family of probability densitiesP if it satisfies the asymptotic coverage inequality. -
pw.dvi
www.statslab.cam.ac.uk/~grg/papers/pw.pdf15 Aug 2012: mains unproved. Using Theorem 4.2 and an argument of Zhang (see [24, p. ... Related Fields 92, 511–527. 24. Grimmett, G. R. (1989), Percolation, Springer–Verlag, Berlin. -
Rates of contraction for posterior distributions in Lr-metrics, 1
www.statslab.cam.ac.uk/~nickl/Site/__files/AOS924.pdf6 Mar 2012: r. Lr. 2j n.(24). If r = , for p0 and bounded, there exists a constant L such that for all jsatisfying 2j j < n we have. ... PROOF. Since Bα = W2α in [24] and it also equals a constant times Rα in [32],this proposition simply combines Theorem 2.1 in -
houches.dvi
www.statslab.cam.ac.uk/~grg/papers/houches.pdf15 Aug 2012: θΛ(p, q) = φΛ,p,q(A). (24). It is not hard to see that. -
decay2.dvi
www.statslab.cam.ac.uk/~grg/papers/USdecay2.pdf15 Aug 2012: Whenq = 2, this role is played by the Simon{Lieb inequality (see [24, 27]). ... 1986). Phase coexistence and surface tensions for the Pottsmodel. Communications in Mathematical Physics 105, 527{545.24. -
vanzwet.dvi
www.statslab.cam.ac.uk/~grg/papers/USvanzwet.pdf15 Aug 2012: Mathematics and its Applications, vol. 99, Springer, New York, pp. 1–24.Aizenman, M.
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