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Central Limit Theorems for Supercritical Branching Nonsymmetric Markov Processes
Central limit theorem branching Markov process supercritical mar- tingale
2016/1/25
In this paper, we establish a spatial central limit theorem for a large class of supercritical branching, not necessarily symmetric, Markov processes with spatially dependent branching mechanisms sati...
Central Limit Theorems for Supercritical Branching Markov Processes
Central limit theorem branching Markov process supercritical mar- tingale eigenfunction expansion
2016/1/25
In this paper we establish spatial central limit theorems for a large class of supercritical branching Markov processes with general spatial-dependent branching mechanisms. These are generalizations o...
Central Limit Theorems for Supercritical Branching Nonsymmetric Markov Processes
Central limit theorem branching Markov process supercritical mar- tingale
2016/1/20
In this paper, we establish a spatial central limit theorem for a large class of supercritical branching, not necessarily symmetric, Markov processes with spatially dependent branching mechanisms sati...
Central Limit Theorems for Supercritical Branching Markov Processes
Central limit theorem branching Markov process supercritical
2016/1/20
In this paper we establish spatial central limit theorems for a large class of supercritical branching Markov processes with general spatial-dependent branching mechanisms. These are generalizations o...
Parameter Estimation and Model Testing for Markov Processes via Conditional Characteristic Functions
Conditional characteristic function Diffusion processes Empirical likelihood Kernel smoothing L′ evy driven processes
2016/1/19
Markov processes are used in a wide range of disciplines including finance.The transition densities of these processes are often unknown. However, the conditionalcharacteristic functions are more like...
Two-sided Taboo Limits for Markov Processes and Associated Perfect Simulation
Markov processes Quasi-stationary distribution Eigenvalues Perron{Frobenius theory
2015/7/8
In this paper, we study the two-sided taboo limit processes that arise when a Markov chain or process is conditioned on staying in some set A for a long period of time. The taboo limit is time-homogen...
Estimation of Continuous-time Markov Processes Sampled at Random Time Intervals
Method of moments parameter estimation Markov process
2015/7/6
We introduce a family of generalized-method-of-moments estimators of the parameters of a continuous-time Markov process observed at random time intervals. The results include strong consistency, asymp...
Laws of Large Numbers and Functional Central Limit Theorems for Generalized Semi-Markov Processes
Central limit theorem Discrete-event stochastic systems Generalized semi-Markov processes
2015/7/6
Because of the fundamental role played by generalized semi-Markov processes (GSMPs) in the modeling and analysis of complex discrete-event stochastic systems, it is important to understand the conditi...
Bounding Stationary Expectations of Markov Processes
Markov processes diff usions stationary bounds Poisson’s equation queueing
2015/7/6
This paper develops a simple and systematic approach for obtaining bounds on stationary expectations of Markov processes. Given a function f which one is interested in evaluating, the main idea is to ...
Wide-sense Regeneration for Harris Recurrent Markov Processes: An Open Problem
Harris recurrence Markov chains Markov processes regeneration renewal theory
2015/7/6
Harris recurrence is a widely used tool in the analysis of queueing systems. For discrete time Harris chains, such systems automatically exhibit wide-sense regenerative structure, so that renewal theo...
Branching Markov processes on fragmentation trees generated from the paintbox process
paintbox process Markov processes
2011/7/19
A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on the space o...
On sequential estimation of parameters of continuous Gaussian Markov processes
sequential estimation of parameters continuous Gaussian Markov processes
2009/9/24
On sequential estimation of parameters of continuous Gaussian Markov processes。
Stopping games for symmetric Markov processes。
On integrated square errors of recursive nonparametric estimates of nonstationary Markov processes
integrated square errors recursive nonparametric estimates nonstationary Markov processes
2009/9/23
The integrated square error (ISE) and the mean
integrated squark error (MISE) for a class of recursive estimators of
the transition density function of a vector-valued nonstationary
Markov process ...
Hausdorff dimension theorems for self-similar Markov processes
Hausdorff dimension theorems self-similar Markov processes
2009/9/22
Let X(t) (ts R,) be an u-self-similar Markov process
on Rd or Rd+. The Hausdorff dimension of the image, graph and zero
set of X(t) are obtained under certain mild conditions. Similar results
are a...