2015/04/13 by Chengxiu Ling, Ling, Chengxiu, Zhongquan Tan +1
Economics, Econometrics and Finance · Mathematics · #Complex Systems and Time Series Analysis #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR #msc:60F05 #msc:60G15
paper · pdf · doi:10.48550/arxiv.1504.03135
arxiv created 2015/04/13 · arxiv updated 2015/04/14
In this paper, with motivation from [30] by Piterbarg (Extremes 7:161--177, 2004) and the considerable interest in stationary chi-processes, we derive asymptotic joint distributions of maxima of stationary strongly dependent chi-processes on a continuous time and an uniform grid on the real axis. Our findings extend those for Gaussian cases and give three involved dependence structures via the strongly dependence condition and the sparse, Pickands and dense grids.