The density topology on the real line consists of all measurable sets whose all points are their points of Lebesgue density one. A real-valued function of a real variable that is continuous with ...

The joint probability density function \(f\) of two random variables \(X\) and \(Y\) satisfies, for every \(a_1 b_1\) and \(a_2 b_2\), \[ P(a_1\le X\le b_1, a_2\le Y ...

Translation elongation plays an important role in regulating protein concentrations in the cell, and dysregulation of this process has been linked to several human diseases. In this study, we use data ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

In this lab, we will look at building visualizations known as density plots to estimate the probability density for a given set of data. Import the dataset 'weight-height.csv' as a pandas dataframe.

Abstract: In this paper, we consider a device-to-device-enabled cellular ultra dense network. We use stochastic geometry to model the deployment of base stations, and to locate the users. Users are ...

Abstract: Recently a growing interest has been seen in multi-modality image registration with graph based entropy estimator. As contrasted to the plug-in estimator, entropic spanning graph estimates ...