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10 May 2024: Curr Biol. 2021 Mar 8;31(5):R239-R240. doi: 10.1016/j.cub.2021.01.106. PMID: 33689719. Kroll F, Powell GT, Ghosh M, Gestri G, Antinucci P, Hearn TJ, ... Elife. 2021 Jan 8;10:e59683. doi: 10.7554/eLife.59683. PMID: 33416493; PMCID: PMC7793621. Hearn TJ,

14 May 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).

14 May 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

14 May 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).

14 May 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

12 May 2024: i1j =1. tij. (i1k=1. tikσj k j 1k=1. tj kσik. ), (A4). ... tij tj ktkσi〉. (A7). As above, the first sum vanishes except for = j.

14 May 2024: Robust adjusted profile score (RAPS). I Define standardized residual: tj (β,τ2) =. Γ̂j βγ̂j(σ2Yj τ. 2) β2σ2Xj. I For some robust loss function ρ, the RAPS are. ... ψ(ρ)1 (β,τ. 2) =. pj=1. ρ′(tj ). βtj,. ψ(ρ)2 (β,τ. 2) =. pj=1.

14 May 2024: p. tj =. nβ̂j. σ̂j. 1 ‖α̂‖2, Pj = 2(1 Φ(|tj|)).

14 May 2024: Consider any function g : Z [M] anda collection of test statistics: Tj : Z W R, j [M].The p-value of the CRT is given by.

12 May 2024: Fij =〈xi1x. Tj1〉pθ〈eie. Tj. 〉pθ. (22). There is no reason to expect that this expression is zero for i 6= j, unless the outputs xi or the errorsei are ... Fij =(Wbi ΣW. bj. T)(Wai. T Σ̃1Waj. )=〈xi1x. Tj1〉pθ〈eie. Tj. 〉pθ.