(a) The bilateral exponential is defined by $${ \frac{1}{2}\alpha e^{-\alpha|x|} }$$. Here, $${ \alpha }$$ is the scale parameter. This distribution has an expected value of $${ 0 }$$ and a variance ...

Community driven content discussing all aspects of software development from DevOps to design patterns. Ready to develop your first AWS Lambda function in Python? It really couldn’t be easier. The AWS ...

This paper presents an application of swarm intelligence to a hundred-year-old problem in mathematics, the Hausdorff moment problem (HMP), where one reconstructs a density function from its moments.

A long-standing challenge in statistical mechanics has been to quantify the nonequilibrium nature of active systems such as swarming bacteria, schooling fish, and flocking birds. The entropy ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...

A package to describe amortized (conditional) normalizing-flow PDFs defined jointly on tensor products of manifolds with coverage control. The connection between different manifolds is fixed via an ...

ABSTRACT: In this paper two kernel density estimators are introduced and investigated. In order to reduce bias, we intuitively subtract an estimated bias term from ordinary kernel density estimator.

Abstract: An analytical derivation of the EMG signal’s amplitude probability density function (EMG PDF) is presented and used to study how an EMG signal builds-up, or fills, as the degree of muscle ...