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In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear intercomponent coupling and four wave mixing. The relevant four branches of ...
We consider the problem of estimating the mixing density f from n i.i.d. observations distributed according to amixture density with unknown mixing distribution. In contrast with finite mixtures model...
We prove that ergodicity and weak mixing coincide for the class of stationary symmetric semistable processes and give several characterizations of ergodic semistable processes.
For partial sums {S,) of a stationary ergodic sequence {X,} with zero mean we find conditions for m ny-'Pr {sup (S Jk) > E ] < m n= 1 k?n in terms of the strong mixing weficients {a,,) and moment...
In this Pa per we firstly study f, the inverse Laplace transform of F(s) = n,=(,s - 0 3 . The distribution f is then used to define a family of linear distribution processes. This family generalizes ...
A central limit theorem and a corresponding functional central h i t theorem are given under a uniform mixing condition for uniformly inf~tesimal triangular arrays of random variables which take va...
In the present article we consider a model of motion of a passive tracer particle under a random, non-steady (time dependent), incompressible velocity flow in a medium with positive molecular diffus...
The article deals with the special subclass of cp-mixing periodically correlated (PC) time series and the estimation of autocovariance through Fourier coefficients. The aim is to investigate whethe...
Maximal inequalities for U-processes are required in order to achieve a reduction to the first nonvanishing term in their Hoeffding’s decomposition, which is the relevant quantity for statistical in...
This is an update of, and a supplement to, a 1986 survey paper by the author on basic properties of strong mixing conditions.
In this note the almost sure convergence of stationary, $varphi$-mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is linked to the ful...
Consider a random walk in an irreducible random environment on the positive integers. We prove that the annealed law of the random walk determines uniquely the law of the random environment. An applic...
For a general attractive Probabilistic Cellular Automata on SZ^d, we prove that the (time-) convergence towards equilibrium of this Markovian parallel dynamics, exponentially fast in the uniform norm,...

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