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3 Sep 2013: Assumption 1’. All the eigenvalues of the K K matrix pαB′B are bounded away from both 0and as p , where 0 < α < 1. ... To examine the effect of missing the Kth common factor, assume (2.1) and that rank(B′B) = K,but the estimator is.

16 Oct 2013: Show thatit converges a.s. and in Lp for all p 1 to a [0, 1]-valued random variable X. ... If he wins, he receives $26 all of which he bets on the event that.

28 Feb 2013: Consider first those θ for which all agents are ex-ante self-excluded. ... Θ0 = {θ : θi < th for all i},. For these θ the system is not provided and.

26 Aug 2013: b) If µ(v) = µ for some v V , then µ(v) = µ for all v V. ... We have thatµ(G) < 1 if either. (a) G is -regular and contains a cycle, or(b) deg(v) for all v V , and there exists w V with deg(w).

28 Oct 2013: b) ψlk is S-times differentiable with all derivatives in L2, L N, al = |Zl| =2l , and {ψlk : l L, k Zl} forms an orthonormal basis of L2. ... The following results can be seen to be uniform (“honest”)in all f0 that satisfy Condition 1 with fixed

3 Feb 2013: over all densities f. February 3, 2013- 5. R. J. Samworth Log-concavity. ... Consider maximising over all log-concave functions. ψn(f) =1. n. n. i=1.

7 Feb 2013: A Linear Programming Relaxation. Primal. maximize{zi}. iE. rizi. iS. ASi zi b(S) , for all S E,. ... Primal. maximize{zi}. iE. rizi. iS. ASi zi b(S) , for all S E,.

12 Sep 2013: bj 1). As illustrated in Figure 7, for sufficiently large N and all vectors a, b of length j ,there exists a configuration ωa,b of primal edges of N such ... Assume for the momentthat pi > 0 for all i. The configurations ωa,b may be chosen in such a

30 Oct 2013: For all β > 0 the H-parabolic β-dimensionalHausdorff content is defined by. ... K(D) =. { k=1. (aknk,bkm. k) : (ak,bk) D for all k. }.

7 Mar 2013: Rather than the (b1)-regular tree, for convenience we work withthe rooted tree Tb all of whose vertices other than the root (denoted0) have degree b 1; the root has degree ... We argue as follows to show that Π 6=. There exists an edgef = 〈a, b〉