In this research, we propose a bi-objective model for the economic-statistical design of the X-bar and S control charts. The model minimizes out-of-control average time to signal as well as minimizing mean hourly loss-cost where it incorporates the Taguchi loss function. Statistical constraint is considered in the model to achieve desired in-control time to signal. A non-dominated sort...

We develop a non-parametric statistical test for self-similarity based on the crossing tree and use simulation experiments to test its performance. It is applied to a number of packet traces both to determine the range of scales over which they appear self-similar and to detect temporal changes in the mean packet arrival rate and/or scaling behaviour.

Inspired by the success of control barrier functions (CBFs) in addressing safety, and rise data-driven techniques for modeling functions, we propose a non-parametric approach online synthesis CBFs using Gaussian Processes (GPs). A dynamical system is defined to be safe if subset its states remains within prescribed set, also called <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xl...