Suppose the distributions {μn} on Θ obey a large deviation principle (LDP) and that for each θ ∈ Θ the distributions {Pn θ } on X also obey an LDP. The main purpose of this paper is to give conditions which allow an LDP for the mixtures {Pn}, given by Pn(A) = ∫ Pn θ (A)dμn(θ), to be deduced. The treatment follows that of Dinwoodie and Zabell (1992) who, motivated by exchangeability, consider th...

The exchangeability assumption as defined in this paper on ranking functions seems intuitively natural, and indeed, specific ranking functions previously proposed in the literature are all exchangeable. While pointwise ranking functions are vacuously exchangeable, we now discuss two specifically listwise ranking functions previously proposed by [22] and [26] in light of our representation theor...

Over recent years Dirichlet processes and the associated Chinese restaurant process (CRP) have found many applications in clustering while the Indian buffet process (IBP) is increasingly used to describe latent feature models. These models are attractive because they ensure exchangeability (over samples). We propose here extensions of these models where the dependency between samples is given b...

This paper is concerned with the efficient simulation of P (Sn > s) where Sn is the sum of n i.i.d. heavy-tailed random variables X1, . . . ,Xn. Asmussen and Kroese (2006) and Asmussen and Kortschak (2012) proposed estimators that combine exchangeability arguments with conditional Monte-Carlo and whose relative errors go to 0 as s→∞. We useMn = max (X1, . . . ,Xn) as a control variate to propos...

This paper presents the compilation of the CroCo Corpus, an English-German translation corpus. Corpus design, annotation and alignment are described in detail. In order to guarantee the searchability and exchangeability of the corpus, XML stand-off mark-up is used as representation format for the multi-layer annotation. On this basis it is shown how the corpus can be queried using XQuery. Furth...

We introduce a new function on the set of pairs cluster variables via f-vectors, which is called compatibility degree (of complexes). The natural generalization classical introduced by Fomin and Zelevinsky. In particular, we prove that has duality property, symmetry embedding property one has. also conjecture exchangeability property. As pieces evidence this conjecture, establish for algebras r...

1. Kulkarni PM, Wang S. Re: "Assessing the direction of causality in cross-sectional studies." (Letter). Am J Epidemiol 1997;146:786-7. 2. Flanders WD, Lin L, Pirkle JL, et al. Assessing the direction of causality in cross-sectional studies. Am J Epidemiol 1992; 135:926-35. 3. Greenland S, Robins JM. Identifiability, exchangeability, and epidemiological confounding. Int J Epidemiol 1986;15: 413...