centersMc

A <code>vector</code> real numbers that constitute the end points of intervals.

A positive real number in \((0,1)\) parameterizing the centers inside the intervals.
For the interval, <code>int</code>\(=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\).

Returns the centers of the intervals based on 1D points in \(x\) 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 \(M_c=a+c(b-a)\)
<code>x</code> is a <code>vector</code> of 1D points, not necessarily sorted.
See also (ceyhan:metrika-2012,ceyhan:revstat-2016;textualpcds).

Contains the functions for generating patterns of segregation, association, complete spatial randomness (CSR))
and Uniform data in one, two and three dimensional cases, for testing these patterns based on two invariants of
various families of the proximity catch digraphs (PCDs) (see (Ceyhan (2005) ISBN:978-3-639-19063-2).
The graph invariants used in testing spatial point data are the domination number (Ceyhan (2011)
<doi:10.1080/03610921003597211>) and arc density (Ceyhan et al. (2006) <doi:10.1016/j.csda.2005.03.002>;
Ceyhan et al. (2007) <doi:10.1002/cjs.5550350106>) of for two-dimensional data for visualization of PCDs for one,
two and three dimensional data. The PCD families considered are Arc-Slice PCDs,
Proportional-Edge PCDs and Central Similarity PCDs.

Elvan Ceyhan

pcds

Proximity Catch Digraphs and Their Applications

centersMc function

<dl><dt>x</dt>
<dd>A <code>vector</code> real numbers that constitute the end points of intervals.</dd>
<dt>c</dt>
<dd>A positive real number in \((0,1)\) parameterizing the centers inside the intervals.
For the interval, <code>int</code>\(=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\).</dd></dl>

Arguments

Author

Parameterized centers of intervals — centersMc

<dl>

<dt>x</dt>
<dd>A <code>vector</code> real numbers that constitute the end points of intervals.</dd>


<dt>c</dt>
<dd>A positive real number in \((0,1)\) parameterizing the centers inside the intervals.
For the interval, <code>int</code>\(=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\).</dd>

</dl>

centersMc: Parameterized centers of intervals

Description

Usage

Value

Arguments

Author

References

See Also

Examples