Limit theorems for spatio-temporal models with long-range dependence

We study the asymptotics of the survival probability for the critical and decomposable branching processes in random environment and prove Yaglom type limit theorems for

for a comparison between the joint temporal and contemporaneous aggregation of RCAR(1) processes and that of network traffic models with finite variance and the corresponding

Keywords: birth and death process; structured population; adaptive dynamics; individual based model; averaging technique; trait substitution sequence.. Mathematical

We present a proof of the Generalized Riemann hypothesis (GRH) based on asymptotic expansions and operations on series.. The advan- tage of our method is that it only uses

the object coverage in the initial frame for the proposed segmentation with long range motion cues (using depth order track clusters or BM [9] track clusters) com- pared to

Sample covariance matrices, Spiked population model, limit theorems, Largest eigenvalue, Extreme eigenvalues.. The research of this Zhidong Bai was supported by CNSF grant 10571020

In view of limit theorems, Choquet random sup-measures arise naturally in the inves- tigation of extremes of a stationary sequence, including the independently scattered

[25] (generalized by [23]) studied partial sums and sample variance of a possibly nonzero mean stochastic volatility process with infinite variance and where the volatility is