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15 Mar 2016: Mathematics of Operational Research. Contents. Table of Contents i. Schedules v. 1 Lagrangian Methods 11.1 Lagrangian methods. 11.2 The Lagrange dual. 31.3 Supporting hyperplanes. 3. 2 Convex and Linear Optimization 62.1 Convexity and strong duality.

2 Dec 2015: maximizesi,tj. { i. si j. tj : αiβj si tj 0, i, j}.

14 Nov 2011: 25. . Theorem 5.8. Suppose P is irreducible and recurrent.Then for all j I we have P(Tj < ) = 1.

17 Sep 2015: Assume p > q. Let Tj = inf{n > 1 : Xn = j} if this is finite, and Tj = otherwise. ... Let Ti = inf{n > 1 : Xn = i}. For each i 6= j letqij = P(Tj < Ti | X0 = i) and mij = E(Tj | X0 = i).

22 May 2013: Pj(Tj < ) Pj(Hi < )Pi(Hj < ) = 1. 5.5 Relation with closed classes. ... P(X0 = i)Pi(Tj < ). so it suffices to show that Pi(Tj < ) = 1 for all i I.

21 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).

28 Aug 2007: 2/d , then, with v defined by. (4.8), and tj = νj1 {ν/k2(ν)}.

24 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

14 Feb 2019: and (Xj )TXj = X. Tj (I Pj)Xj = ‖(I Pj)Xj‖2.

15 Jan 2023: Modern Statistical MethodsRajen D. Shah r.shah@statslab.cam.ac.uk. Course webpage:http://www.statslab.cam.ac.uk/rds37/modern_stat_methods.html. In this course we will study a selection of important modern statistical methods. Thisselection is