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Journal of Machine Learning Research ? (????) ?-?? Submitted ...
www.statslab.cam.ac.uk/~rds37/papers/shah16.pdf9 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. -
Goodness of fit tests for high-dimensional linear models Rajen ...
www.statslab.cam.ac.uk/~rds37/papers/RPtests8 Apr 2017: Goodness of fit tests for high-dimensional linear models. Rajen D. Shah. University of CambridgePeter BühlmannETH Zürich. April 8, 2017. Abstract. In this work we propose a framework for constructing goodness of fit tests in both lowand -
Lecture Notes on Statistical Modelling Qingyuan Zhao December 2, ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/notes.pdf29 Apr 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 -
Causal Inference
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/slides.pdf29 Apr 2024: where R(Pn,P) = oP(1/n) is a negligible remainder term. See blackboard:. -
CAUSAL INFERENCE - Example Sheet 3 Solutions J. Hera ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S3.pdf29 Apr 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). -
Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf29 Apr 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 -
Towards Reliable Inference for Precision Medicine
www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf29 Apr 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.pdf29 Apr 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). -
Selective Inference for Effect Modification
www.statslab.cam.ac.uk/~qz280/publication/effect-modification/slides.pdf29 Apr 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). -
Probab. Theory Relat. Fields (2008) 141:333–387DOI…
www.statslab.cam.ac.uk/~nickl/Site/__files/ptrf08.pdf11 Sep 2008: n sup. f F. f (x)pn(x)d x. f (x)p0(x)d x. = OP(1), (3). ... supf F. |(Pn P)(µ̄n f f )| = oP(1/. n). The last two estimates prove (9) since F is P-Donsker.
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