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  2. Probability J.R. Norris January 22, 2024 1 Contents 1 ...

    www.statslab.cam.ac.uk/~james/Lectures/p.pdf
    22 Jan 2024: P(A|B) = P(A B)P(B). For fixed B, we can define a new function P̃ : F [0,1] by.
  3. NON-SELF-TOUCHING PATHS IN PLANE GRAPHS GEOFFREY R. GRIMMETT…

    www.statslab.cam.ac.uk/~grg/papers/qt-matching7.pdf
    12 Feb 2024: These new vertices are called facial sites,. and the graph Ĝ is called the facial graph of G. ... For A C(G), we shall construct a new cycle B = Ext(A) called the exteriorcycle of A.
  4. PERCOLATION CRITICAL PROBABILITIESOF MATCHING LATTICE-PAIRS GEOFFREY…

    www.statslab.cam.ac.uk/~grg/papers/percprob-rsa6.pdf
    20 Feb 2024: graph, denoted Ĝ, that is obtained from G by placing a new vertex within eachnon-triangular face of G and joining this new vertex to each vertex of the face. ... These new verticesare called facial sites, or simply sites in order to distinguish them
  5. Small Data, Big Time—A retrospect of the first weeks of COVID-19

    www.statslab.cam.ac.uk/~qz280/publication/covid-19-retrospect/paper.pdf
    3 Jun 2024: Similar to many other new human diseases, there was an initial period of confusion. ... The leftpanel shows the new incidences with no exposure to the Huanan Seafood Market; the right panel showsthe logarithm of the cumulative incidences.
  6. Mathematics of Machine LearningRajen D. Shah…

    www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/notes.pdf
    12 Mar 2024: form new datasets D1,. ,DB and performs the following. 1. For each b = 1,. ... New convex functions from old:. (i) Let g : C R be a (strictly) convex function.
  7. 6 Nov 2023: The natural thing to do is to define a new random variable X′ = E[X|G] as follows. ... So for allA Fn we have. E[Xn1(A)] = E[X1(A)]. Hence if we now define a new probability measure Q̃(A) = E[X1(A)], then Q(A) =
  8. Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...

    www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf
    3 Jun 2024: The cycle: conjecture–design–experiment–analysis leads to a new cycle of conjecture–design–experiment–analysis and so on. ... 2 log f(Yn1; θ̂) | θ̂. }where the expectation is taken over a new observation Yn1.
  9. www.statslab.cam.ac.uk/~qz280/tag/mendelian-randomization/index.xml

    www.statslab.cam.ac.uk/~qz280/tag/mendelian-randomization/index.xml
    3 Jun 2024: 2021/ Mendelian randomization: Old and new insights https://www.statslab.cam.ac.uk/qz280/talk/penn-biostat-2021/ Fri, 16 Apr 2021 18:00:00 0000 ... uk/qz280/talk/penn-biostat-2021/ Mendelian randomization: Old and new insights
  10. Sensitivity analysis for inverse probability weighting estimators via …

    https://www.statslab.cam.ac.uk/~qz280/publication/sensitivity-ipw/
    3 Jun 2024: Seeking to overcome these limitations, we propose a new approach to sensitivity analysis based on the inverse probability weighting estimator.
  11. Two-sample instrumental variable analyses using heterogeneous samples …

    https://www.statslab.cam.ac.uk/~qz280/publication/two-sample-iv/
    3 Jun 2024: We derive a new class of linear IV estimates that are robust to sample heterogeneity.

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