The evolution of the state probability density function over time leads to several interesting observations regarding stability regions as a function of damping parameter. The Fokker-Planck equation ...

To this end, we develop a machine learning method that estimates the gradient of the logarithm of the system’s probability density, which can be characterized as a solution to the many-body stationary ...

Gaussian mixture probability hypothesis density (GM-PHD) filtering often assumes a uniform distribution of clutter in the observation area. However, in practice, clutter is often unknown and ...

These are mathematical functions that describe the wave-like behavior of either one electron or a pair of electrons in an atom. These functions can be used to determine the probability of finding an ...

In scenario A of figure 1, φ is 40%. In the online supplemental materials, we show that the outsurvival statistic relates to the joint probability density function of two lifespan distributions, which ...

In this paper, probability theory is used to solve electrical grid power load flow. The method applies two Maximum Entropy (ME) methods and a Gram-Charlier (GC) expansion to generate voltage magnitude ...

By using one of the common stock probability distribution methods of statistical calculations, an investor may determine the likelihood of profits from a holding.