In this paper, we propose a class of monitoring statistics for mean shift in sequence high-dimensional observations. Inspired by the recent U-statistic based retrospective tests developed Wang et al.(2019) and Zhang al.(2020), advance approach to sequential problem developing new adaptive procedure that can detect both dense sparse changes real-time. Unlike where self-normalization was used the...

Network-constrained points are constrained by and distributed on road networks, for example, taxi pick-up drop-off locations. The aggregation pattern (clustering) of network-constrained (significantly denser than randomly distributed) along roads may indicate spatial anomalies. For detecting quantifying the with highest intensity (i.e., number per network length) can reveal high demand. K-funct...