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  2. Selective Inference for Effect Modification

    https://www.statslab.cam.ac.uk/~qz280/publication/effect-modification/slides.pdf
    3 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).
  3. 2 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.
  4. Here is a Pascal program to solve small problems ...

    https://www.statslab.cam.ac.uk/~rrw1/opt1998/solver.html
    23 Apr 1997: From: Stephen Gale. Newsgroups: sci.op-research. Subject: Re: SIMPLEX code for PC.
  5. Biometrika (2015), 102, 2, pp. 315–323 doi:…

    https://www.statslab.cam.ac.uk/~rjs57/Biometrika-2015-Yu-315-23.pdf
    23 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.
  6. IMS CollectionsHigh Dimensional Probability V: The Luminy VolumeVol.…

    https://www.statslab.cam.ac.uk/~nickl/Site/__files/IMSCOLL522.pdf
    26 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).
  7. meanf.dvi

    https://www.statslab.cam.ac.uk/~grg/papers/USmeanf.pdf
    15 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.
  8. Journal of Machine Learning Research ? (????) ?-?? Submitted ...

    https://www.statslab.cam.ac.uk/~rds37/papers/shah16.pdf
    9 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.
  9. Stochastic Networks Conference, 2006

    https://www.statslab.cam.ac.uk/~frank/TALKS/StochNet2006.pdf
    2 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.
  10. MAHD-CV-26.3.2018 (002)

    https://www.statslab.cam.ac.uk/~mike/QF2023/MAHD-CV-26.3.2018.pdf
    4 Jul 2023: Curriculum Vitae 1 26 March 2018. Curriculum Vitae. Michael Alan Howarth Dempster. Personal Information. Date of birth: 10.4.1938. Nationalities: Canadian, British. Present Position. Professor Emeritus (Mathematics and Statistics). Centre for
  11. CAUSAL INFERENCE - Example Sheet 3 Solutions J. Hera ...

    https://www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S3.pdf
    3 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).
  12. 2 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 OPOP â Pã ä <bàë OPOP â Pjã ä
  13. Asymptotics and optimal bandwidth selection for highest density…

    https://www.statslab.cam.ac.uk/~rjs57/Samworth10.pdf
    21 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.
  14. Nonparametric Bernstein-von Mises theorems in Gaussian white noise

    https://www.statslab.cam.ac.uk/~nickl/Site/__files/AOS1133.pdf
    28 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).
  15. sjqrw3.dvi

    https://www.statslab.cam.ac.uk/~grg/papers/sjqrw3.pdf
    15 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
  16. visa06f-courcoubetis.dvi

    https://www.statslab.cam.ac.uk/~rrw1/research/visa09.pdf
    20 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
  17. Mathematical models of multiservice networks F�P� Kelly University of …

    https://www.statslab.cam.ac.uk/~frank/PAPERS/ima.pdf
    27 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
  18. Michael's major contributions to stochastic optimization and…

    https://www.statslab.cam.ac.uk/~mike/QF2023/Consigli1.pdf
    18 Apr 2023: Sci. and Op.Res., pp. 177–200. MAHD with Medova, E., Y.Yong, Y., 2012.
  19. Towards Reliable Inference for Precision Medicine

    https://www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf
    3 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).
  20. 24 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
  21. CORRECTIONS for ‘Mathematical foundations of infinite-dimensional…

    https://www.statslab.cam.ac.uk/~nickl/Site/__files/CORRECTIONS.pdf
    19 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 ’

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