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Mathematics of Operational Research Example Sheet 2 R. Weber ...
www.statslab.cam.ac.uk/~rrw1/mor/examples2.pdf2 Dec 2015: maximizesi,tj. { i. si j. tj : αiβj si tj 0, i, j}. -
Minkowski dimension of Brownian motion with drift Philippe H. ...
www.statslab.cam.ac.uk/~ps422/minkowski.pdf3 Aug 2012: the ball B(f(tj),ε) is contained in B(f(ti), (2k1 1)ε). ... S(k) = {j : |ti tj| < 2ε and |f(ti) f(tj)| [2kε, 2k1ε)},. -
Confounder Adjustment in Multiple Hypothesis Testing
www.statslab.cam.ac.uk/~qz280/publication/cate/slides.pdf3 Jun 2024: p. tj =. nβ̂j. σ̂j. 1 ‖α̂‖2, Pj = 2(1 Φ(|tj|)). -
Mendelian randomization: From genetic association to epidemiological…
www.statslab.cam.ac.uk/~qz280/publication/mr-partially-bayes/slides.pdf3 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. -
Applied Probability 1, Lent Term 2020 grg@statslab.cam.ac.uk Example…
www.statslab.cam.ac.uk/~grg/teaching/app-prob2020-1.pdf20 Jan 2020: random variables, independent of N. Show that if g(s,x) is a function and Tj are the. ... E. expθ. Ntj=1. g(Tj,Xj). = exp {λ t. 0. [E(eθg(s,X)) 1. -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?cid=2092101501&clv=1&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&page=1715 Jun 2024: GR Grimmett, TJ Osborne, PF Scudo. – Journal of Statistical Physics. -
notes.dvi
www.statslab.cam.ac.uk/~grg/papers/USrednotes.pdf15 Aug 2012: PERCOLATION ANDDISORDERED SYSTEMSGeorey GRIMMETT. 2PREFACEThis course aims to be a (nearly) self-contained account of part of the mathematicaltheory of percolation and related topics. The rst nine chapters summarise rigorousresults in percolation -
Mathematical Foundations of Infinite-Dimensional Statistical Models
www.statslab.cam.ac.uk/~nickl/Site/__files/FULLPDF.pdf25 Feb 2020: Mathematical Foundations of Infinite-DimensionalStatistical Models. In nonparametric and high-dimensional statistical models, the classical Gauss–Fisher–Le Cam theory of the optimality of maximum likelihood and Bayesianposterior inference does -
Markov Chains, Computer Proofs, andAverage-Case Analysis of Best Fit…
www.statslab.cam.ac.uk/~rrw1/publications/Coffman%20-%20Johnson%20-%20Shor%20-%20Weber%201993%20Markov%20chains,%20computer%20proofs,%20and%20average-case%20analysis%20of%20best%20fit%20bin%20packing.pdf15 Sep 2011: chains Mj,K, t > 1,which have the same state space w MJ,K = (S,K, TJ,K ),but have product matrices J,K for transition functions, i.e.,chains in ... The tint is theta [ 1, an n(,K x. larray of integers,that is used as a sparse representation for the -
Stability of Flexible Manufacturing Systems
www.statslab.cam.ac.uk/~rrw1/publications/Courcoubetis%20-%20Weber%201994%20Stability%20of%20flexible%20manufacturing%20systems.pdf15 Sep 2011: In a similar manner as in the proof of Theorem 2, we have that for s = o-i and t = Tj,. ... T'E4 (X('Tj) E (Nk (st) -Nk (S))t). and therefore E(vi) is o(t).
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