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We consider the parametric estimation of the driving L\'evy process of a multivariate continuous-time autoregressive moving average (MCARMA) process, which is observed on the discrete time grid $(0,h,...
An epidemiological model which incorporates synergistic effects that allow the infectivity and/or susceptibility of hosts to be dependent on the number of infected neighbours is proposed. Constructive...
The model described in this paper represents the flow of dry air in one horizontal dimension of domain length 64 km and the vertical dimension of height 16 km (the height of the tropopause in tropical...
Given a birth-death process on N with semigroup P_t and a discrete gradient D depending on a positive weight u, we establish intertwining relations of the form D P_t = Q_t D, where Q_t is the Feynman...
We describe the processes obtained by time reversal of a class of stationary jump-diffusion processes that model the dynamics of genetic variation in populations subject to repeated bottlenecks. Assu...
Deriving the time evolution of a distribution of probability (or a probability density matrix) is a problem encountered frequently in a variety of situations: for physical time, it could be a kinetic...
In this paper, we study reflected generalized backward doubly stochastic differential equations driven by Teugels martingales associated with L\'evy process (RGBDSDELs, in short) with one continuous ...
In the paper we introduce the truncated variation, upward truncated variation and downward truncated variation. These are closely related to the total variation but are well-defined even if the latte...
We are concerned with the supercritical process on the integers. The extension of the argument of Kuczek (1989) to this case is due to Mountford and Sweet (2000). Their approach is based on proving th...
Fiber spinning process is an important industrial process for synthetic polymers. The study on the dynamics of the melt spinning process is quite important industrially as well as academically because...
The paper deals with the approximation of the law of a random functional of a Dirichlet process using a finite number of its moments. In particular, three classes of approximation procedures – expansi...
We consider a stochastic gradient process, which is used for the estimation of a conditional expectation : Xn+1 = Xn−an∇xφ(Vn,Xn)(φ(Vn,Xn)−Un). We give one theorem of almost sure con...
On the precise asymptotics in complete moment convergence of moving average processes under NA random variables.
A generalization of geometric Pakes generalized Linnik laws and related processes are discussed here. This class of distributions possesses a different kind of closure under geometric compounding and ...
General composite implicit iteration processes for common fixed points of asymptotically nonexpansive mappings

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