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www.statslab.cam.ac.uk/~frank/PAPERS/ghk.pdf31 Mar 2010: Then xK is a Markovprocess with transition rates. xK Tj,j1xK at rate νxKj K,j = 0, 1,. ... C 1. xK Tj,j1xK at rate jxKj K,j = 1, 2,. -
Adaptive estimation of a distribution function and its density in…
www.statslab.cam.ac.uk/~nickl/Site/__files/BEJ239.pdf19 Nov 2010: Let T := Tj = {ti (j )} = 2j Z, j Z, be a bi-infinite sequence of equally spaced knots,ti := ti (j ). A function S is a spline of order r , or ... Nj,k,r (x) := Nk,r (2j x) = N0,r (2j x k).By the Curry–Schoenberg theorem, any S Sr (Tj ) can be uniquely -
Asymptotics and optimal bandwidth selection for highest density…
www.statslab.cam.ac.uk/~rjs57/Samworth10.pdf21 Apr 2010: tn, tj tn], where D4 = 12 μ2(K)f ′′(xj ) D1;. • ... tn = o(n1/6).Then. P(f̂h(x. tj ) < f̂h,τ. ) ( tf ′(xj ) D4n1/2h5/2{R(K)fτ 2D3,j D2}1/2). -
Maximum likelihood estimation of a multidimensional log-concave…
www.statslab.cam.ac.uk/~rjs57/CSSFinalLV.pdf24 Mar 2010: Maximum likelihood estimation of a multidimensional log-concave density. Madeleine Cule and Richard Samworth†University of Cambridge, UK. and Michael StewartUniversity of Sydney, Australia. Summary. Let X1,. , Xn be independent and identically
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