# Clustering and hitting times of threshold exceedances and applications

@article{Markovich2017ClusteringAH, title={Clustering and hitting times of threshold exceedances and applications}, author={Natalia M. Markovich}, journal={Int. J. Data Anal. Tech. Strateg.}, year={2017}, volume={9}, pages={331-347} }

We investigate exceedances of the process over a sufficiently high threshold. The exceedances determine the risk of hazardous events like climate catastrophes, huge insurance claims, the loss and delay in telecommunication networks.
Due to dependence such exceedances tend to occur in clusters. The cluster structure of social networks is caused by dependence (social relationships and interests) between nodes and possibly heavy-tailed distributions of the node degrees. A minimal time to reach a…

## 3 Citations

Nonparametric Analysis of Extremes on Web Graphs: PageRank Versus Max-Linear Model

- Computer Science
- 2017

The cluster structure in large networks by means of clusters of exceedances regarding the influence characteristics of nodes is analyzed, using PageRank and the Max-Linear model and comparing their distributions and dependence structure.

A Caching policy driven by clusters of high popularity

- Computer Science2016 International Wireless Communications and Mobile Computing Conference (IWCMC)
- 2016

A mixture of m-dependent Markov and Poisson renewal processes is proposed as example of an inter-request time model and the hit/miss probabilities of such caching policy are presented and cache size estimation is considered.

Distributed Computer and Communication Networks

- Communications in Computer and Information Science
- 2017

The Internet of Things (IoT) undergoes fundamental changes, expanding its infrastructure with more advanced and mobile devices. As the IoT develops, the existing cellular communication technologies…

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