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.
متن کاملThe Jacobsthal Sequences in Finite Groups
Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...
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We prove a uniformly computable version of de Finetti’s theorem on exchangeable sequences of real random variables. In the process, we develop machinery for computably recovering a distribution from its sequence of moments, which suffices to prove the theorem in the case of (almost surely) continuous directing random measures. In the general case, we give a proof inspired by a randomized algori...
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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Let S be a Polish space and (Xn : n ≥ 1) an exchangeable sequence of S-valued random variables. Let αn(·) = P ( Xn+1 ∈ · | X1, . . . , Xn ) be the predictive measure and α a random probability measure on S such that αn weak −→ α a.s.. Two (related) problems are addressed. One is to give conditions for α λ a.s., where λ is a (non random) σ-finite Borel measure on S. Such conditions should concer...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1980
ISSN: 0091-1798
DOI: 10.1214/aop/1176994663