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The stochastic block model (SBM) is a probabilistic model de- signed to describe heterogeneous directed and undirected graphs. In this paper, we address the asymptotic inference on SBM by use of max...
The allocation problem for multivariate stratified random sampling as a problem of stochastic matrix integer mathematical programming is considered. With these aims the asymptotic normality of sampl...
High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of...
Two families of improper stochastic integrals with respect to Lévy processes.
This paper is a survey on some recent aspects and developments in stochastic control. We discuss the two main historical approaches, Bellman's optimality principle and Pontryagin's maximum principle, ...
This text is a survey on the general theory of stochastic processes, with a view towards random times and enlargements of filtrations. The first five chapters present standard materials, which where d...
These notes survey some aspects of discrete-time chaotic calculus and its applications, based on the chaos representation property for i.i.d. sequences of random variables. The topics covered include ...
In this paper we study the a.s. convergence of all solutions of the It^{o}-Volterra equation [ dX(t) = (AX(t) + int_{0}^{t} K(t-s)X(s),ds),dt + Sigma(t),dW(t) ] to zero. $A$ is a constant $dtimes d$ m...
We study the optimal control problem for Rd-valued absolutely continuous stochastic processes with given marginal distributions at every time. When $d=1$, we show the existence and the uniqueness of a...
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
Stochastic delay differential equations (SDDE) on a manifold $M$ depend intrinsically on a connection $nabla$ in this space. The main geometric result in this notes concerns the horizontal lift of sol...
The purpose of this work is to study some possible application of FKG inequality to the Brownian motion and to Stochastic Differential Equations. We introduce a special ordering on the Wiener space an...
We consider linear stochastic differential-algebraic equations with constant coefficients and additive white noise. Due to the nature of this class of equations, the solution must be defined as a gene...
We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses x and y coalesce at rate (approximately) xa+ya, for some a in (0,1), and su...

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