centersMc {pcds}

Parameterized centers of intervals

Description

Returns the centers of the intervals based on 1D points in Yp parameterized by c \in (0,1) so that 100c % of the length of interval is to the left of M_c and 100(1-c) % of the length of the interval is to the right of M_c. That is, for an interval (a,b), the parameterized center is M_c=a+c(b-a) Yp is a vector of 1D points, not necessarily sorted.

See also (Ceyhan (2012, 2016)).

Usage

centersMc(Yp, c = 0.5)

Arguments

Yp

A vector real numbers that constitute the end points of intervals.

c

A positive real number in (0,1) parameterizing the centers inside the intervals with the default c=.5. For the interval, int=(a,b), the parameterized center is M_c=a+c(b-a).

Value

(parameterized) centers of the intervals based on Yp points as a vector

Author(s)

Elvan Ceyhan

References

Ceyhan E (2012). “The Distribution of the Relative Arc Density of a Family of Interval Catch Digraph Based on Uniform Data.” Metrika, 75(6), 761-793.

Ceyhan E (2016). “Density of a Random Interval Catch Digraph Family and its Use for Testing Uniformity.” REVSTAT, 14(4), 349-394.

See Also

centerMc

Examples

n<-10
c<-.4  #try also c<-runif(1)
Yp<-runif(n)
centersMc(Yp,c)

c<-.3  #try also c<-runif(1)
Yp<-runif(n,0,10)
centersMc(Yp,c)