Distance Distributions in Finite Uniformly Random Point Processes

number of points N

10

radius of the ball R

10

number of dimensions d

2

n

1

mean	=	2.7026
variance	=	1.78685

Let

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

th

n

nearest neighbor from the origin for such a point process. The mean and variance values of the distance are also provided.