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  2. Leverage Mendelian Randomization to Learn MeaningfulRepresentations…

    www.statslab.cam.ac.uk/~qz280/talk/lmrl-2021/slides.pdf
    3 Jun 2024: ψ(ρ)1 (β,τ. 2) =. pj=1. ( β. tj)ψ(tj ),. ψ(ρ)2 (β,τ. ... 2) =. pj=1. tj ψ(tj ) E[Tψ(T )], for T N(0, 1).
  3. MATHEMATICS OF MACHINE LEARNING Part IIExample Sheet 2 (of ...

    www.statslab.cam.ac.uk/~rds37/teaching/machine_learning/Qu2.pdf
    20 Feb 2024: F̂(t1,. , tp) =1. n. ni=1. 1A(Wi). where A =pj=1(, tj]. ... n. [Hint: Consider H := {1A : A =pj=1(, tj], tj R}, and H := {h : h H}, and.
  4. Simultaneous Hypothesis Testing using Internal Negative Controls…

    www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf
    3 Jun 2024: 2 (Ti)iI (Tj)jInc;3 (Tj)jInc is mutually independent;. 4 (Ti)iI is PRDS on (Ti)iI0;. ... R(t) 1, 0 t 1. Further define. Vnc(t) :=jInc. 1{Tj t}, V̄nc(t) :=n (Vnc(t) 2).
  5. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/epfl-2021/slides.pdf
    3 Jun 2024: 4): Q-Q plot of standardized residual:. tj (β̂) =Γ̂j β̂γ̂j. 1 β̂2. ... Robust adjusted profile score (RAPS). I Define standardized residual: tj (β,τ2) =. Γ̂j βγ̂j1 β2 τ2. I For some robust loss ρ (let ψ = ρ′), the RAPS equations
  6. Mendelian Randomization: Old and New Insights Qingyuan Zhao…

    www.statslab.cam.ac.uk/~qz280/talk/penn-biostat-2021/slides.pdf
    3 Jun 2024: 4): Q-Q plot of standardized residual:. tj (β̂) =Γ̂j β̂γ̂j. 1 β̂2. ... Robust adjusted profile score (RAPS). I Define standardized residual: tj (β,τ2) =. Γ̂j βγ̂j1 β2 τ2. I For some robust loss ρ (let ψ = ρ′), the RAPS equations
  7. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=87
    15 Jun 2024: F SEILLIERMOISEIWITSCH, TJ SWEETING, AP DAWID. – SCANDINAVIAN JOURNAL OF STATISTICS.
  8. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=59
    15 Jun 2024: TJ Cole, M Cortina-Borja, J Sandhu, FP Kelly, H Pan. – Biostatistics (Oxford, England).
  9. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=57
    15 Jun 2024: GR Grimmett, TJ Osborne, PF Scudo. – Journal of Statistical Physics.
  10. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=81
    15 Jun 2024: VP Godambe, BG Lindsay, B Li, P McCullagh, G Casella, TJ Diciccio, MT Wells, AP Dawid, C Goutis, TA Severini, LM Ryan, N Reid, KY Liang, SL Zeger. –
  11. Confounder Adjustment in Multiple Hypothesis Testing

    www.statslab.cam.ac.uk/~qz280/publication/cate/slides.pdf
    3 Jun 2024: p. tj =. nβ̂j. σ̂j. 1 ‖α̂‖2, Pj = 2(1 Φ(|tj|)).

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