The dynamics in a confined turbulent convection flow is dominated by multiple long-lived macroscopic circulation states that are visited subsequently the system Markov-type hopping process. In present work, we analyze short transition paths between these subsequent data-driven learning algorithm extracts low-dimensional manifold and related new coordinates, which term collective variables, stat...

Risk assessment is an integral part of enterprise's quality management system. The risk low products the most significant risk, as it directly related to concept enterprise competitiveness. paper analyzes scientific papers products, processes and services, their disadvantages, possible limits application. It proposed use mathematical dependences obtain estimates product indicators on a dimensio...

Model predictive control (MPC) is widely used in resource optimization problems because it naturally deals with bounded controls and states allows information to be included. However, at each sampling instant, an problem must solved. Resource switching actions lead integer decision variables, which are computationally costly, particularly when the number of variables large. As a result, approac...

Proportional hazards models and, in some situations, accelerated failure time models, are not suitable for analyzing data when the ratio between two individuals is constant. We present a Weibull model with covariables on location and scale parameters. By considering effects of only parameter, but also scale, regression should be able to adequately describe difference treatments. In addition, de...

In this article, we consider the problem of estimating the stress-strength reliability $Pr (X > Y)$ based on upper record values when $X$ and $Y$ are two independent but not identically distributed random variables from the power hazard rate distribution with common scale parameter $k$. When the parameter $k$ is known, the maximum likelihood estimator (MLE), the approximate Bayes estimator and ...