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Random-cluster representation of the Blume–Capel model B. T. Graham,…
www.statslab.cam.ac.uk/~grg/papers/blume.pdf15 Aug 2012: limΛLd. φ0Λ(A B) = Φ0(1A(ψ)µ0ψ(B)). (7.7). 24 B. T. Graham and G. -
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 -
notes-reprint2012.dvi
www.statslab.cam.ac.uk/~grg/papers/notes-reprint2012.pdf15 Aug 2012: PERCOLATION AND. DISORDERED SYSTEMS. Geoffrey GRIMMETT. Percolation and Disordered Systems 143. PREFACE. This course aims to be a (nearly) self-contained account of part of the math-ematical theory of percolation and related topics. The first nine -
Influence and sharp-threshold theorems for monotonic measures
www.statslab.cam.ac.uk/~grg/papers/influe.pdf15 Aug 2012: 2.24) λ(C | Uj = 1) = λ(g(U ) A) λ(f (U ) A) = λ(B | Uj = 1). -
elec.dvi
www.statslab.cam.ac.uk/~grg/papers/USelec.pdf15 Aug 2012: 2.24) x = f (x). As is well known (see Harris (1963) proof of Theorem I.6.1) the only solutions of(2.24) in [0, 1] are q and 1. ... 24 GEOFFREY GRIMMETT AND HARRY KESTEN. as n. Proof. We prove. -
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. -
bg6.dvi
www.statslab.cam.ac.uk/~grg/papers/USbg6.pdf15 Aug 2012: Our basic strategy in proving the central limit theorem isto adapt the arguments proposed by Kipnis and Varadhan [24] and further developed byDeMasi, Ferrari, Goldstein, and Wick [10, 11]. ... One of the main properties of the chain Xω is its -
Optimization and Control Contents Table of Contents i Schedules ...
www.statslab.cam.ac.uk/~rrw1/oc/oc2012.pdf21 Mar 2012: 24. 6.6 Forward induction policies. 24. 7 Average-cost Programming 25. 7.1 Average-cost optimality equation. -
entperc.dvi
www.statslab.cam.ac.uk/~grg/papers/USentperc.pdf15 Aug 2012: Et(ΨA) aΛs(A) b. for every increasing cylinder event A. Here are some remarks about these two lemmas, which are essentially equa-tions (13.24) and (13.25) of [7]. -
10-grg.dvi
www.statslab.cam.ac.uk/~grg/books/hammfest/10-grg.pdf15 Aug 2012: F. (1986). Percolation. theory and some applications. Itogi Nauki i Techniki, Series of ProbabilityTheory, Mathematical Statistics, Theoretical Cybernetics, 24, 53–110.
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