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

3 Jun 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.

10 Jul 2013: We abusenotation and denote by nj the root of Tj and by 0 the root of T0. ... Using Claim 4.2 for the function (h(x) h(nj)) restricted to x Tj we obtainvTj.

15 Sep 2011: Now. Z7ji, i- 1) =tj(i, i - )c(y) hj(i, i - 1). ... 1, O)]/[tj(1, 0) X-'] < oo.).

4 Feb 2020: RANDOM PLANAR GEOMETRY, LENT 2020, EXAMPLE SHEET 1. Please send corrections to jpmiller@statslab.cam.ac.uk. Problem 1. (i) Show that the cardinality of the set Tk of plane trees with k edges is the kth Catalan number. Ck =1. k 1. (2kk. ). [Hint:

4 Oct 2023: Figure 1: Optimality criterion. 30 ,I ,I. 25-. -. -0. C=500 -t.lI tj 20-. -. ... Overflow Traffic, }.2. 3.3 Remarks. 0. -t.lI tj. (l) Cl). £.

18 Sep 2011: Pij (J1) = P { i K (tJ ) -] = j L1 i < j 1, pEA,.

8 Jul 2009: Tk kM for all 1 k n and Tk Tj < (k j 1)M for all 0 j < k n. ... mn, i.e. ml < Tj ml1 mlr < Tk mlr1for some l and r k j.

15 Sep 2011: lim l-Z"(tJ)cJb=f. (l.Dt—co t j =. The model here is the same as that in Refs.

3 Jun 2024: Confounder adjustment in large-scale linearstructural models. Qingyuan Zhao. Department of Statistics, The Wharton School, University of Pennsylvania. June 19 2018, EcoStat. Based on. I Wang, J., Zhao, Q., Hastie, T., & Owen, A. B. Confounder