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Probability J.R. Norris January 22, 2024 1 Contents 1 ...
www.statslab.cam.ac.uk/~james/Lectures/p.pdf22 Jan 2024: 24. Then µX has mass function given by. px = µX({x}) = P(X = x), x S. -
NON-SELF-TOUCHING PATHS IN PLANE GRAPHS GEOFFREY R. GRIMMETT…
www.statslab.cam.ac.uk/~grg/papers/qt-matching7.pdf12 Feb 2024: NON-SELF-TOUCHING PATHS IN PLANE GRAPHS. GEOFFREY R. GRIMMETT. Abstract. A path in a graph G is called non-self-touching if two vertices areneighbours in the path if and only if they are neighbours in the graph. We in-vestigate the existence of -
PERCOLATION CRITICAL PROBABILITIESOF MATCHING LATTICE-PAIRS GEOFFREY…
www.statslab.cam.ac.uk/~grg/papers/percprob-rsa6.pdf20 Feb 2024: The subpaths σiM of σ̂Mmay now be defined as above. 24 GEOFFREY R. -
Design: The Elusive Principle of Statistics
www.statslab.cam.ac.uk/~qz280/talk/oxford-2024/slides.pdf3 Jun 2024: Red (symptom onsets before January 24): 3.9 days (2.9–5.5). Original study: 6.4 days (5.8–7.1). ... Initial Date of first medical visit 23-Jan 6.5% NA. Confirmed Date confirmed 24-Jan. -
Mendelian randomization
www.statslab.cam.ac.uk/~qz280/talk/mr-tutorial/slides.pdf3 Jun 2024: β̂IVW = Mean(β̂j,weights =1/σ2j ). 2. Weighted median:. β̂WMED = Median(β̂j,weights =1/σ2j ). 3. MR-Egger regression:. β̂Egger = lm(Γ̂j γ̂j,weights =1/σ2j ). 24/40. Weak instrument biasI -
SISCER Module 12 Lecture 2: Matching for Cohort Studies
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf3 Jun 2024: multipleinference. 24 / 29. Observational studies and causal inference Basics of matching Various issues and techniques in matching References. -
Selecting and ranking individualized treatment rules with…
www.statslab.cam.ac.uk/~qz280/talk/selective-inference-webinar-2021/slides.pdf3 Jun 2024: Take-home message: Precision medicine or Jenga? Qingyuan Zhao (Stats Lab, Cambridge) ITRs with unmeasured confounders January 14, 2021 24 / 25. -
Mathematics of Machine LearningRajen D. Shah…
www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/notes.pdf12 Mar 2024: 1 t)vm1 conv S. 24. Lemma 13. Let S Rd. -
Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf3 Jun 2024: Department Men WomenApplicants Admitted Applicants Admitted. A 825 62% 108 82%B 560 63% 25 68%C 325 37% 593 34%D 417 33% 375 35%E 191 28% 393 ... 24. Exercise 2.18. Show that for the normal linear model with known α2, AIC concideswith Mallows’ Cp. -
Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf3 Jun 2024: 24. Informal proof of (2.17). Notice that θ̂ is an empirical solution to the equation. ... 2]0. 2.31 Exercise. Use your results in Exercise 2.24 to derive the conditions under whichV1 = V2 = V3.
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