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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). -
Bayesian Non-linear Statistical Inverse Problems
www.statslab.cam.ac.uk/~nickl/Site/__files/FINALBOOKPDF.pdf16 Jan 2024: Theusual stochastic OP ;oP notation will be used throughout for P D PN or equivalentlyP N. – -
Probability J.R. Norris January 22, 2024 1 Contents 1 ...
www.statslab.cam.ac.uk/~james/Lectures/p.pdf22 Jan 2024: Probability. J.R. Norris. January 22, 2024. 1. Contents. 1 Mathematical models for randomness 61.1 A general definition. 61.2 Equally likely outcomes. 61.3 Throwing a die. 61.4 Balls from a bag. 71.5 A well-shuffled pack of cards. 71.6 Distribution -
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). -
Mathematics of Machine LearningRajen D. Shah…
www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/notes.pdf12 Mar 2024: Y ), which determines the op-timal h, will be unknown. -
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). -
Simultaneous Hypothesis Testing using Internal Negative Controls…
www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf3 Jun 2024: RemarksBy assuming f0 and f are differentiable at τ. λ and (f0/f ). ′(τλ) > 0, we show in the paperthat τ̂λ,n,m τλ = Op((n m)1/3). -
Causal Inference
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/slides.pdf3 Jun 2024: where R(Pn,P) = oP(1/n) is a negligible remainder term. See blackboard:. -
Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf3 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 -
Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf3 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
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