منابع مشابه
On Finite Markov Exchangeable Sequences
We show that a finite Markov exchangeable sequence of random variables with finite state space is a signed mixture of Markov chains. This is shown to partially generalize earlier work by Fortini et al. and Freedman under the added condition of stationarity. Associated statistical issues are discussed and a test of Markov exchangeability is proposed.
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chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولExceptional Sequences in Hall Algebras and Quantum Groups
Let be a nite dimensional hereditary algebra over a nite eld k; H(() and C(() be respectively the Hall algebra and the composition algebra of ; P be the isomorphism classes of nite dimensional-modules and I the isomorphism classes of simple-modules. We deene and , 2 P, to be the right and left derivations of H(() respectively. By using these derivations and the action of the braid group on the ...
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A major direction in the theory of cluster algebras is to construct (quantum) cluster algebra structures on the (quantized) coordinate rings of various families of varieties arising in Lie theory. We prove that all algebras in a very large axiomatically defined class of noncommutative algebras possess canonical quantum cluster algebra structures. Furthermore, they coincide with the correspondin...
متن کاملIdentifiability of Exchangeable Sequences with Identically Distributed Partial Sums
Consider two exchangeable sequences (Xk)k2N and (X̂k)k2N with the property that Sn P n k=1 Xk and Ŝn P n k=1 X̂k have the same distribution for all n 2 N. David Aldous posed the following question. Does this imply that the two exchangeable sequences have the same joint distributions? We give an example that shows the answer to Aldous' question is, in general, in the negative. On the other hand, w...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2009
ISSN: 0022-2518
DOI: 10.1512/iumj.2009.58.3939