Abstract: Traditionally, the uncertainty qualification is utilized with the known probability distribution function (PDF). However, in some scenarios, the PDFs of some uncertain variables are modeled ...

In this valuable contribution, the authors present a novel and versatile probabilistic tool for classifying tracking behaviors and understanding parameters for different types of single-particle ...

Nowadays it is known that it is important to study the safety of structures to avoid tragic accidents or economic losses. The most widely used method in the world to evaluate the safety of structures ...

This article presents an application for failure probability in long-pipeline gas systems through the development of trend curves over time for the attributes of corrosion wear, which are related to ...

This investigation was supported (in part) by the U.S. Public Health Service, National Institutes of Health, grant GM-10525. Join the global community of subscribers to PNAS, the flagship journal of ...

Abstract: This paper proposes a computationally efficient and accurate method to solve probabilistic power flow (PPF) and its global sensitivity analysis (GSA) problems of power distribution systems.

Understanding Joint Probability Density Functions | Examples and Key Concepts In this video, we examine joint probability density functions (PDFs), a key concept in probability and statistics that ...

Nonlinear stochastic dynamics of an array of 67 coupled micromechanical oscillators – Efficient determination of the probability density function of system joint response: (A) Evolution over time of ...