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CENTRAL LIMIT THEOREMS FOR FOUR NEW TYPES OF U-DESIGNS
Central limit theorem correlation controlled U-design nested U-design sliced U-design strong orthogonal array based U-design
2016/1/26
Orthogonal array based Latin hypercube designs, also called U-designs, have been popularly adopted in designing a computer exper-iment. Nested U-designs, sliced U-designs, strong orthogonal array base...
Functional central limit theorems for supercritical superprocesses
Functional central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/26
In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment co...
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 Superprocesses
Central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/25
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. This c...
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...
Functional central limit theorems for supercritical superprocesses
Functional central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/20
In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment co...
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 Superprocesses
Central limit theorem supercritical superprocess excursion measures of superprocesses
2016/1/20
In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. This c...
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...
Central limit theorems and uniform laws of large numbers for arrays of random fields
Random field Spatial process Central limit theorem Uniform law of large numbers Law of large numbers
2015/9/24
Over the last decades, spatial-interaction models have been increasingly used in economics. However, the development of a sufficiently general asymptotic theory for nonlinear spatial models has been h...
CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
Parameters random limit theorem dimension index level
2015/7/7
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...
On Functional Central Limit Theorems for Semi-Markov and Related Processes
Semi-Markov processes Markov chains Central limit theorem Martingales Discrete-event systems
2015/7/6
The semi-Markov process (SMP) has long been used as a model for the underlying process of a discrete-event stochastic system. Important refinements of this model include the continuous-time Markov cha...
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...
Central Limit Theorems and Large Deviations for Additive Functionals of Reflecting Diffusion Processes
Central Limit Theorems Large Deviations Additive Functionals Reflecting Diffusion Processes
2015/7/6
This paper develops central limit theorems (CLT's) and large deviations results for additive functionals associated with reflecting disions in which the functional may include a term associated with t...
Central limit theorems for pre-averaging covariance estimators under endogenous sampling times
Central limit theorem Hitting times Market microstructure noise Nonsynchronous observa-tions Pre-averaging Time endogeneity
2013/6/13
We consider two continuous It\^o semimartingales observed with noise and sampled at stopping times in a nonsynchronous manner. In this article we establish a central limit theorem for the pre-averaged...