dxxx(x,) returns the density or the value on the y-axis of a probability distribution for a discrete value of x pxxx(q,) returns the cumulative density function (CDF) or the area under the curve to ...

Abstract: Traditionally power is generated from power stations to load centers in one direction. Due to variable load from Electrical Vehicles (EV’s) and variable generation like Distributed ...

Abstract: The stochastic nature of renewable energy sources (RESs) necessitates treating power system frequency response as a random process with a nonstationary probability density function (PDF).

Bernstein polynomial estimators employ weighted sums of Beta basis functions to approximate unknown probability density functions on compact intervals. By representing the target density as a convex ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

ABSTRACT: In this paper, we explore the dynamic relationship between exchange rates, natural gas, and crude oil prices using the wavelet vine copula approach. The vine copula method offers the ...

Centrality measures allow to identify important nodes in networked systems. An open question in network theory is the empirical observation that a node’s centrality—whose computation requires ...

When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...