Add to ORKGLet N points be uniformly randomly distributed in a d-dimensional ball of radius R, centered at the origin. This Demonstration plots the distribution (pdf) of the distance to the nth nearest neighbor from the origin for such a point process. The mean and variance values of the distance are also providedEducação Superior::Ciências Exatas e da Terra::Matemátic
Abstract. We determine exact expressions for the probability distribution and the average of the dis...
In this letter, we present an analytic framework for formulating the statistical distribution of the...
(a)-(b) are generated using the fidelity, F, and (c)-(d) using the Kolmogorov distance, K, for neare...
Let N points be uniformly randomly distributed in a d-dimensional ball of radius R, centered at the ...
We study different ways of determining the mean distance <rn> between a reference point and it...
This paper discusses various estimators for the nearest neighbour distance distribution function D o...
Abstract. We determine the probability distribution for the dis-tance between two random points in a...
This letter characterizes the statistics of the contact distance and the nearest neighbor (NN) dista...
Given a rectangle containing uniformly distributed random points, how far are the points from the re...
Consider an unlimited homogeneous medium disturbed by points generated via Poisson process...
International audienceIn the d-dimensional Euclidean space, any set of n+1 independent random points...
We present a new mathematical formalism for analytically obtaining the probability density function,...
We study the cumulative distribution function (CDF), probability density function (PDF), and moments...
Abstract. We calculate the distribution and the expectation of the distance between two random point...
This paper derives the exact cumulative density function of the distance between a randomly located ...
Abstract. We determine exact expressions for the probability distribution and the average of the dis...
In this letter, we present an analytic framework for formulating the statistical distribution of the...
(a)-(b) are generated using the fidelity, F, and (c)-(d) using the Kolmogorov distance, K, for neare...
Let N points be uniformly randomly distributed in a d-dimensional ball of radius R, centered at the ...
We study different ways of determining the mean distance <rn> between a reference point and it...
This paper discusses various estimators for the nearest neighbour distance distribution function D o...
Abstract. We determine the probability distribution for the dis-tance between two random points in a...
This letter characterizes the statistics of the contact distance and the nearest neighbor (NN) dista...
Given a rectangle containing uniformly distributed random points, how far are the points from the re...
Consider an unlimited homogeneous medium disturbed by points generated via Poisson process...
International audienceIn the d-dimensional Euclidean space, any set of n+1 independent random points...
We present a new mathematical formalism for analytically obtaining the probability density function,...
We study the cumulative distribution function (CDF), probability density function (PDF), and moments...
Abstract. We calculate the distribution and the expectation of the distance between two random point...
This paper derives the exact cumulative density function of the distance between a randomly located ...
Abstract. We determine exact expressions for the probability distribution and the average of the dis...
In this letter, we present an analytic framework for formulating the statistical distribution of the...
(a)-(b) are generated using the fidelity, F, and (c)-(d) using the Kolmogorov distance, K, for neare...