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IMS CollectionsHigh Dimensional Probability V: The Luminy VolumeVol.…
www.statslab.cam.ac.uk/~nickl/Site/__files/IMSCOLL522.pdf26 Feb 2010: o(n1/2H(n)2tK(n)ts) oP(K(n)(sk)). If s t, then. ... OP (n1/2(tk)/(2t1)) OP(n1/2H(n)(tk)) o(H(n)2t). -
Selective Inference for Effect Modification
www.statslab.cam.ac.uk/~qz280/publication/effect-modification/slides.pdf3 Jun 2024: difference is op(1). The actual proof is much more technical (mainly becauseestimation error complicates the selection event). ... References. 26/28. Assumptions in the paper II. Assumption. (Accuracy of treatment model) ‖µ̂t µt‖ = op(n1/4). -
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www.statslab.cam.ac.uk/~james/Markov/s14.pdf2 Oct 2001: GI?:&6OP-/W.W.-4w+":e&D{B/RS7:W&IiNJ,& J);?:&nJj),9;-/":ef@>B/9,C3-<M7N9,-37& ... p),?N&69 Ba"=-/R),.RS& J Z OP-39ThµBa9;&fJF);-/7:7N+":ey);RS& JBa"N=UcE5);?:&pJj),9;-/":e5@>B/9,C3-<y7N9,-37& 9j)FE. -
Here is a Pascal program to solve small problems ...
www.statslab.cam.ac.uk/~rrw1/opt1998/solver.html23 Apr 1997: From: Stephen Gale. Newsgroups: sci.op-research. Subject: Re: SIMPLEX code for PC. -
Biometrika (2015), 102, 2, pp. 315–323 doi:…
www.statslab.cam.ac.uk/~rjs57/Biometrika-2015-Yu-315-23.pdf23 Oct 2016: s. Then. ‖ sin (V̂ , V )‖F 2 min(d1/2‖̂ ‖op, ‖̂ ‖F). ... is in themin(d 1/2‖̂ ‖op, ‖̂ ‖F) term in the numerator of the bounds. -
meanf.dvi
www.statslab.cam.ac.uk/~grg/papers/USmeanf.pdf15 Aug 2012: There are Op(1) unicyclic components with a total numberof Op(1) vertices. ... The largest tree has order Op(n2/3). (b) If q > 2, then a.e. -
Journal of Machine Learning Research ? (????) ?-?? Submitted ...
www.statslab.cam.ac.uk/~rds37/papers/shah16.pdf9 Jun 2016: Journal of Machine Learning Research? (?)? -? Submitted 11/13; Revised 3/16; Published? /? Modelling Interactions in High-dimensional Data withBacktracking. Rajen D. Shah r.shah@statslab.cam.ac.ukStatistical Laboratory. University of Cambridge. -
Mathematical models of multiservice networks F�P� Kelly University of …
www.statslab.cam.ac.uk/~frank/PAPERS/ima.pdf27 Sep 2021: Mathematical models of multiservice networks. FP Kelly. University of Cambridge. This paper describes several simple models that have helped our understanding of communication networks and describes some of the newproblems that arise in connection -
CAUSAL INFERENCE - Example Sheet 3 Solutions J. Hera ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S3.pdf3 Jun 2024: 1. cov(Ai, g(Zi)). R3. =1pn. nX. i=1. (Zi, Ai, Yi) op(1). ... This implies. that:pn(̂ ) = 1p. n. nX. i=1. (xi) op(1) (14). -
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www.statslab.cam.ac.uk/~james/Markov/s18.pdf2 Oct 2001: OP (ë OP7âPãä-o%}Ïb)1A(Ð?0à N ø Q â )1/q-/qj#H #/qj#I/z2?,Càsá ä (ë ä â àsá (ë â I àá (ë â ... Y}{|r%39:F9t#l26A(ij]#vmI)1/8A6#IH7o)1mI#26'7#vH7A(?jmI#%6%àá OP 6ë OP â Pã ä <bàë OP 3á OP â Pjã ä -
Asymptotics and optimal bandwidth selection for highest density…
www.statslab.cam.ac.uk/~rjs57/Samworth10.pdf21 Apr 2010: x2jx2j 1. f̂h(x) f (x) dx}. (A.8). Op(. log(1/ h). nh2+ h. ... 2r. Thus B̂1,j = B1,j Op(n2/7), B̂2,j = B2,j Op(n. -
sjqrw3.dvi
www.statslab.cam.ac.uk/~grg/papers/sjqrw3.pdf15 Aug 2012: E (Xrn) =. 2π. 0. 〈Ψn(k),DrΨn(k)〉dk. 2π, (16). where D = X̂ = id/dk is the position op-. ... 2d}. In general, the evolution op-erator U(k) generates entanglement betweenthe different spatial directions and it is neces-sary therefore to consider -
CORRECTIONS for ‘Mathematical foundations of infinite-dimensional…
www.statslab.cam.ac.uk/~nickl/Site/__files/CORRECTIONS.pdf19 Dec 2020: p.602, last display of Corollary 7.3.24 should read. = OP. ... n/ log n)γ/(2γ1)un. ), instead of OP. ((n/ log n)γ/(2γ1)un. )p.609, in the 3rd display in Theorem 8.1.1, the exponents should be ‘ 14r1 ’ -
Stochastic Networks Conference, 2006
www.statslab.cam.ac.uk/~frank/TALKS/StochNet2006.pdf2 Jul 2006: M. N. OP. Q. R ST. 21. Reference: Schafer and Victor (2000) The future mobility of the world population, Transportation Research A34(3), 171-205. -
visa06f-courcoubetis.dvi
www.statslab.cam.ac.uk/~rrw1/research/visa09.pdf20 Jan 2011: In this paper welook at a number of models, making different assumptionsabout the parameters that can be measured, and obtain op-timal policies for each model. ... Thus, a sharing policy which simply op-timizes the efficiency of the system for a given -
Towards Reliable Inference for Precision Medicine
www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf3 Jun 2024: Assumption. I ‖µ̂t µt‖2 = op(n1/4);I ‖µ̂y µy‖2 = op(1);I ‖µ̂t µt‖2 ‖µ̂y µy‖2 = op(n1/2). -
Goodness of fit tests for high-dimensional linear models Rajen ...
www.statslab.cam.ac.uk/~rds37/papers/RPtests8 Apr 2017: Goodness of fit tests for high-dimensional linear models. Rajen D. Shah. University of CambridgePeter BühlmannETH Zürich. April 8, 2017. Abstract. In this work we propose a framework for constructing goodness of fit tests in both lowand -
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www.statslab.cam.ac.uk/~rjs57/richessay.pdf24 Apr 2005: HJI8IL]MPOnak3Oy]RTM[?Y[REuPH(cREL] LdB) #KR X OP" RTMM[H3gfk2ak3U] ak3OnY[RTM. ... Rl[]giYkiXiL_SY[RNQePvP]ltutuLGVYSU[RNL_lVY[]tQVUceSVYXZL:kiSYccemcTm bXi[RNX[]dVUXiL1QTzMVUXiceSZS Wcbgxw EHG;G I 4CTA)C O[M[cRam UZ|LZYy<32O)C8yRTMeMcIk3OY[REgfUZoaopb_M -
Nonparametric Bernstein-von Mises theorems in Gaussian white noise
www.statslab.cam.ac.uk/~nickl/Site/__files/AOS1133.pdf28 Oct 2013: Then, as n ,P nf0 (f0 Cn) 1 α and Rn = OP (1). ... n(f : ‖f f0‖22 > rn. ) = oP (1).Let μn, νn satisfy (21). -
THE WORK OF LUCIO RUSSO ON PERCOLATION GEOFFREY R. ...
www.statslab.cam.ac.uk/~grg/papers/russo3.pdf24 Apr 2016: 2, and integrate (5.6) to obtain. (5.7) Pp(A). { ǫp if p < p0, 1 ǫp if p > p0,. ... with. ǫp =1. 1 (1/η)c′|pp0|. Such inequalities have found numerous applications in percolation and relatedtopics, see for example [12, 19, 24].
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