BACKGROUND More patient-specific medical care is expected as more is learned about variations in patient responses to medical treatments. Analytical tools enable insights by linking treatment responses from different types of studies, such as randomized controlled trials (RCTs) and observational studies. Given the importance of evidence from both types of studies, our goal was to integrate thes...

The RobotMODIC project run by the Universities of Essex and Sheffield investigates ways of quantitative description and accurate, transparent modelling of robot-environment interaction. Transparent, analysable models allow the evaluation of robot controllers with regard to issues such as stability, relevance of individual sensor perceptions for the control task at hand, and quantitative compari...

A new control algorithm has been developed for linear stochastic ARMAX systems subjected to arbitrary random inputs. The purpose is to make the shape of the output probability density function (PDF) to be as close as possible to a target PDF. A feedback control function is formulated to re-configure the open-loop linear system into a non-linear closed-loop system, where the vector of control pa...

This paper deals with the weighted minimum-variance self-tuning regulation of stochastic time-varying systems, which can be described by linear input-output mathematical models. We consider the input-output ARMAX mathematical models with unknown time-varying parameters. The recursive extended least squares RELS algorithm, which can be applied to the stochastic time-varying systems, is presented...

The price of crude oil soared after the outbreak Russia-Ukraine conflict. However, China's stock market, by contrast, continues to fall. This paper studies impact on dynamic China’s market. We build an ARMAX model and ARMA-GARCH analyze whether there are connections between finds that futures rate return is positively correlated with Shenzhen Component index Shanghai return. Also, has a signifi...

This paper extends current theory on the identification and estimation of vector time series models to nonstationary processes. It examines the structure of dynamic simultaneous equations systems or ARMAX processes that start from a given set of initial conditions and evolve over a given, possibly infinite, future time horizon. The analysis proceeds by deriving the echelon canonical form for su...