Almost surely
Almost-Surely Terminating Asynchronous Byzantine Agreement Revisited
... as almost-surely terminating ABA protocols [1], ensure turning the probability of the occurrence of a non-terminating execution to asymptotically zero, making the honest parties terminate with probability ...
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
... = f(x(t), x(t − τ ), t, r(t)) + g (x(t), x(t − τ ), t, r(t))dB(t). (1.3) In [12], the existence and uniqueness of the solution to Eq. (1.3) are discussed and, moreover, both moment asymptotic boundedness and moment ...
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Existence, uniqueness and almost surely asymptotic estimations of the solutions to neutral stochastic functional differential equations driven by pure jumps
... The rest of the paper is organized as follows. In Section 2, we introduce some notations and hypotheses concerning equation (1); In Section 3, the existence and uniqueness of the solution to equation (1) are ...
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Convergence and (S,T )- Stability Almost Surely for Random Jungck-Noor Type Iterative Scheme with Convergence Comparison
... scheme defined by (2.1). Assume that n . Then the Jungck-Noor type random iterative scheme {Sx n ( )} n0 converges strongly to ( ) almost surely. Also ( ) is unique random common fixed ...
7
Adaptive almost surely asymptotically synchronization for stochastic delayed neural networks with Markovian switching
... It can be checked that Assumption ∼Assumption and inequality () are satisfied and the matrix M is a nonsingular M-matrix. So, the noise-perturbed response system () can be adaptive almost surely ...
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The Relations between Several Kinds of Convergence of Random Variables
... Convergence almost surely is the strongest, but it doesn’t imply convergence in the r − th ...convergence almost surely and convergence in the r − th mean imply convergence in probability, ...
7
A New Randomized Pólya Urn Model
... Urn model have been widely studied and applied in both scientific and social science disciplines. In this paper, we have proposed a general class of discrete stochastic processes generated by a two-color generalized ...
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New (Probabilistic) Derivation of Diaz-Metcalf and Pólya-Szegő Inequalities and Consequences
... almost surely bounded random variable, Diaz - Metcalf inequality, discrete in- equality, integral inequality, Kantorovich inequality, mathematical expectation, P´ olya - Szeg˝ o inequali[r] ...
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On the p th moment estimates for the solution of stochastic differential equations
... The main aim of this paper is to discuss the L p -estimate of solution of stochastic differential equations under nonlinear growth condition. Furthermore, almost surely asymptotic estimates for the solutions ...
9
The boundary of a square tiling of a graph coincides with the Poisson boundary
... that almost surely random walk ends up in X if and only if the values of s along its trajectory converge to 1, then N is a realisation of the Poisson ...
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Optimal dynamic resource allocation to prevent defaults
... is almost surely known that all the companies will reach state D in a finite time, which means that the cost incurred by the economy due to default events is independent of the policy, and is given by P ...
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Recurrence to shrinking targets on typical self-affine fractals
... Notice also that it is possible for this limit to not exist. However, if it does exist for some j and s ∈ R + , then in fact P (s, j) is a continu- ous and non-increasing function of s. In this case, we prove that the ...
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Recurrence to shrinking targets on typical self-affine fractals
... Notice also that it is possible for this limit to not exist. However, if it does exist for some j and s ∈ R + , then in fact P (s, j) is a continu- ous and non-increasing function of s. In this case, we prove that the ...
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Stability of noisy Metropolis–Hastings
... are almost surely equal to 1, and (3) is then the stan- dard Metropolis–Hastings acceptance probability associated with the target density π and the proposal ...
26
Independent Random Matching
... that, almost surely, the proportion in the population of those agents of type t that are matched with agents of type t ′ is equal to the product of the proportions of agents of these types, where both t and ...
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Stability analysis for continuous-time switched systems with stochastic switching signals
... the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching and renewal ...
8
The Assouad spectrum and the quasi Assouad dimension : a tale of two spectra
... is almost surely the dimension of the percolated set (which is as big as possible), see [FMT, T], whereas the quasi-Assouad dimension almost surely coincides with the up- per box-counting ...
9
Mechanism of production of intestinal secretion by elevated venous pressure
... A study was carried out to elucidate the physiological mechanisms responsible for the intestinal secretion produced by venous pressure elevation. In dogs, measurements were made of the rate and composition of small ...
13
Tail probabilities and almost sure bounds for martingales
... Accordingly we shall seek conditions under which a sequence {Sn } e 3 is almost surely bounded in the sense that S has a moment generating function. Results of this kind will give less precise upper bounds ...
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Algebraic Geometric Comparison of Probability Distributions
... a continuous, polynomial valued random variable which almost surely has no algebraic properties except for those that are logically implied by the conditions on it. An algebraic property[r] ...
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