[PDF] Top 20 Limit Theorems on Fuzzy Markov Chains
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Limit Theorems on Fuzzy Markov Chains
... Markov chains are one of the most important tools to model random phenomena evolving in time. A weak point of the most widely used model is that transition probabilities have to be constant and precisely ... See full document
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A note on the strong law of large numbers for Markov chains indexed by irregular trees
... tree-indexed Markov chains and studied the recurrence and ray-recurrence for ...Shannon-McMillan theorems for Markov chains field on the Cayley ...strong limit theorems for ... See full document
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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... Some theorems that characterize this distribution were presented in Olapade (2005) while some properties and applications of this distribution were presented in Olapade (2009) who obtained the distribution of the ... See full document
8
Some Limit Properties of Random Transition Probability for Second Order Nonhomogeneous Markov Chains Indexed by a Tree
... on limit theorems for tree-indexed stochastic ...tree-indexed Markov chains and studied the recurrence and ray-recurrence for ...for Markov chains field on a homogeneous tree a ... See full document
10
A uniform estimate for the rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains
... Ser., 6 1972, 35-42 [8] FORMANOV, SH K, Some estimates of the rate of convergence in the multidimensional limit theorems for homogeneous Markov processes, Lecture Notes m Math., 550 1976[r] ... See full document
10
On the Differentiability of Fuzzy Transition Probability of Fuzzy Markov Chains
... stationary behavior. Smith [4] describes the set of stationary probability vectorU arising when the transition probabilities of an n-state Markov chain vary over a specified range. Takahashi [5] obtained simple ... See full document
11
Some Shannon McMillan Approximation Theorems for Markov Chain Field on the Generalized Bethe Tree
... approximation theorems for arbitrary random fields on the generalized Bethe tree by comparison between the arbitrary measure and Markov measure on the generalized Bethe ...Shannon-McMillan theorems ... See full document
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Some limit theorems for the second order Markov chains indexed by a general infinite tree with uniform bounded degree
... from Theorems 1, 2, and Corollary 4, we can easily obtain the Shannon-McMillan theorem with ...ond-order Markov chain indexed by a general infinite tree with uniformly bounded ... See full document
10
Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
... ability, a.e. convergence) is called the Shannon-McMillan theorem or the entropy theorem or the asymptotic equipartition property (AEP) in information theory. Next, we establish the class where we have a.e. convergence ... See full document
9
Sanov and central limit theorems for output statistics of quantum Markov chains
... In this paper, we consider the statistics of repeated measurements on the output of a quantum Markov chain. We establish a large deviations result analogous to Sanov’s theorem for the multi-site empirical measure ... See full document
15
Computation for Markov Chains
... This chapter contains background materials for the theory of Markov chains. After a brief summary of notations, we review the theory of M-matrices and nonnegative matrices. In § 2.4, basic terminologies and ... See full document
145
On the complexity of computing maximum entropy for Markovian Models
... On top of a purely probabilistic model like MCs, it is probably more interesting to consider probabilistic models with nondeterminism, typically Interval Markov chains (IMCs) and Markov Decision ... See full document
14
Estimation Using Quantized Innovations for Wireless Sensor Networks
... of Markov chains include a random walk, a queuing system, and, of course, the state- space dynamical system that we have been ...of Markov chains has existed since Markov’s pioneering work in ... See full document
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Extreme events of Markov Chains
... important cases such as Markov chains whose transition kernel normalizes under the canonical family from Heffernan and Tawn (2004) nor applies to Gaussian copulas. Our new results cover existing results and ... See full document
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Convergence of alternating Markov chains
... the Markov chain with transition matrix A is determined by the "eigenvalue gap" defined as the difference between the first and second eigenvalues λ λ 1 − 2 = ... See full document
6
Statistical limit point theorems
... Our next goal is to show that, given a fixed nonnegative regular matrix A, a sequence x has a rearrangement z such that every limit point of x is an A-statistical limit point of z. Here again, the ... See full document
12
Perfect sampling for nonhomogeneous Markov chains and hidden Markov models
... 3.1. Background. We now review the existing literature on perfect sampling for nonhomogeneous Markov chains. Glynn and Thorisson [(2001), Section 5] for- mulated a perfect sampling algorithm for a finite ... See full document
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Numerical solution of Markov Chains
... then the distribution of the time spent in a given state.. would have to be geometric.[r] ... See full document
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Topics in the theory and applications of Markov chains
... discrete Markov chains often describe the evolutionary process with respect to the locus; for a discussion of such models we refer to Moran (1962), Chapter ... See full document
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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... of Markov Chains, representing the random transition between deterministic dynamical ...such chains, the covariance operator B usually has a very rich ...Central Limit Theory for Markov ... See full document
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