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29 Nov 2018: We mention that in thecase d = 1, Doss and Wellner (2016b) proved thatd2H(f̂n, f0) = Op(n4/5) for each fixed f0 F1, andindeed showed that the same rate holds for ... Then. supx0I. f̂n(x0) f0(x0) = Op((. log n. n. )β/(2β1)). Here the log-concave MLE

8 Jun 2015: Theorem 1. If the vector x = (xr, r R) solves the op-timization problem.

3 Jun 2024: Lecture Notes on Statistical Modelling. Qingyuan Zhao. December 2, 2021. Website for this course: http://www.statslab.cam.ac.uk/qz280/teaching/modelling-2021/. Copyright c2021 Dr Qingyuan Zhao (qyzhao@statslab.cam.ac.uk). This document should be

30 Apr 2009: n(pYn pY. ) (pZn pZ). p,λ= oP(1) (8). for p = (or p = 2). ... OP(n2t/(2t1). ) = oP(n1/2. ). since t > 1/2, and we have, for example, the following:.

28 Aug 2007: From these. properties, (A.8) and (A.11) it can be proved that φ(Z(k)) 1 = qk Qk 1 =. Op(k/T). This property suggests, although of course does not ... enables us to convert the in-probability bound (qk Qk 1) PPois(z,Z(k)) = Op(k/T).

24 Apr 2005: 9999 m "2@ op@ ) }. "¤£ ) "6@ ¢ "¤£ )) 9999 m£ 9999 == =. "¤£ ) } "¤£ ) "6@ ¢ "¤£ )) m£ 9999. ... ØcËÝ m "2@ op@ )@ ¢ " ¢ ) F }. ò " } ) l F. }ò # F 1 " ) ¢ l F } m.

6 Nov 2017: Kekkonen, H., Lassas, M. and Samuli Siltanen.(2016). Posterior consistency and convergencerates for Bayesian inversion with hypoelliptic op-erators.

3 Jun 2024: Lecture Notes on Causal Inference(with corrections). Qingyuan Zhao. May 30, 2022. Website for this course: http://www.statslab.cam.ac.uk/qz280/teaching/causal-2020/. Please contact me if you find any mistakes or have any comments. Copyright c2022 Dr

23 Jul 2012: Geoffrey Grimmett. The Random-Cluster Model. With 37 Figures. Springer. cSpringer-Verlag 2006. Geoffrey GrimmettStatistical LaboratoryCentre for Mathematical SciencesUniversity of CambridgeWilberforce RoadCambridge CB3 0WBUnited Kingdom. Mathematics

26 Apr 2009: The Cliord Paterson Lecture Modelling communication networks. present and future. By F P Kelly. Statistical Laboratory University of Cambridge Mill Lane Cambridge CB SB UK. Modern communication networks are able to respond to randomly