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JRN Michaelmas 2009 Probability and Measure 1 1.1 Let ...
www.statslab.cam.ac.uk/~james/Lectures/pmex1.pdf2 Oct 2009: algebra. 1.2 Show that the following sets of subsets of R all generate the same σ-algebra:(a) {(a, b) : a < b}, (b) {(a, b] : a < b}, (c) {(, b] : b ... cn, } are. independent. 1.8 Let B be a Borel subset of the interval [0, 1]. -
93 1 TELE1RAFFIC AND DATA1RAFFIC in a Period of ...
www.statslab.cam.ac.uk/~frank/PAPERS/cin.pdf8 May 2009: Table 7: Comparison of dimensioning procedures. Carrier Direct routing. Bundle B = 0.01. ... B b ir eJ d 'Ii. iI. -
JRN Michaelmas 2009 Probability and Measure 2 3.1 Suppose ...
www.statslab.cam.ac.uk/~james/Lectures/pmex2.pdf2 Oct 2009: 2 )dx 0. 3.8 Let u and v be differentiable functions on [a, b] with continuous derivatives u′. ... and v′. Show that for a < b b. a. u(x)v′(x)dx = {u(b)v(b) u(a)v(a)}. -
ASYMPTOTICS OF IMPLIED VOLATILITY FAR FROM MATURITY MICHAEL R. ...
www.statslab.cam.ac.uk/~mike/papers/implied-vol-asymptotics.pdf24 Jul 2009: Theorem 5.2. Suppose that is such that for some b > 0 the inequality. ... sinh b/2)2. 2 log cosh(b/2). ) δ(k, τ ). where g(, τ ) is the 2b-periodic function whose restriction to the interval (b, b] is given by. -
THE PHASE TRANSITION OF THEQUANTUM ISING MODEL IS SHARP ...
www.statslab.cam.ac.uk/~grg/papers/qimfinalUS.pdf24 Jun 2009: b. c. g. g. g. Figure 1. Three examples of colourings for given B B, G F. ... Let A K be a finite setof sources, and let B B, G F. -
Uniform limit theorems for wavelet density estimators
www.statslab.cam.ac.uk/~nickl/Site/__files/AOP447.pdf22 Jul 2009: Such aninterval exists because p0 is bounded and continuous. Set I = [a, b] and define. ... ω2δm (φ). Using the last two estimates, (20), (24) and that |a/α b/β| α1|a b| |b|(αβ)1|β α| we obtain. -
paper.dvi
www.statslab.cam.ac.uk/~frank/CP/cp.pdf26 Apr 2009: Broadband trac and statistical sharing a Eective bandwidths b Multiplexing models c Charging mechanisms. ... grows the probability B approaches a solution of the equation. B E B BC. -
RANDOM GRAPHS WITH FORBIDDEN VERTEX DEGREES GEOFFREY GRIMMETT AND ...
www.statslab.cam.ac.uk/~grg/papers/sj208.pdf2 Jul 2009: RANDOM GRAPHS WITH. FORBIDDEN VERTEX DEGREES. GEOFFREY GRIMMETT AND SVANTE JANSON. Abstract. We study the random graph Gn,λ/n conditioned on theevent that all vertex degrees lie in some given subset S of the non-negative integers. Subject to a
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