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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...
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...
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...
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
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...
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...
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...
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...
In this paper we establish some conditional limit theorems for some critical superprocesses X = {X t ,t ≥ 0}. First we identify the rate of non-extinction. Then we show that, for a large class of func...
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...
In this paper we study the conditional limit theorems for critical continuous-state branching processes with branching mechanism ψ(λ) = λ 1+α L(1/λ)where α ∈ [0,1] and L is slowly varying at ∞. We pro...
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...
It is shown that the heavy-traffic Gaussian limit for GI/G/∞ queues is Markovian if and only if the service-time distribution H(t) is of the form 1-H(t)=pe-αt for α>0 and 0< p≤1.
In a discrete-event simulation, the information related to the events scheduled to occur in the future is kept in a data structure called the future event set (FES). In this paper, we study the intera...
We show that su,cient conditions in terms ofmoments for cumulative processes (additive functionals of regenerative processes) to satisfy the central limit theorem and the weak law of large numbers est...

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