centerMc

Returns the (parameterized) center, \(M_c\),
of the interval, <code>int</code>\(=(a,b)\),
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 the interval, <code>int</code>\(=(a,b)\),
the parameterized center is \(M_c=a+c(b-a)\).
See also (ceyhan:metrika-2012,ceyhan:revstat-2016;textualpcds).

Contains the functions for construction and visualization of various families
of the proximity catch digraphs (PCDs), see (Ceyhan (2005) ISBN:978-3-639-19063-2),
for computing the graph invariants for testing the patterns of segregation and association against complete spatial randomness (CSR)
or uniformity in one, two and three dimensional cases.
The package also has tools for generating points from these spatial patterns.
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>). The PCD families considered are Arc-Slice PCDs,
Proportional-Edge PCDs, and Central Similarity PCDs.

Elvan Ceyhan

pcds

Proximity Catch Digraphs and Their Applications

centerMc function

<dl><dt>int</dt>
<dd>A <code>vector</code> with two entries representing an interval.</dd>
<dt>c</dt>
<dd>A positive real number in \((0,1)\)
parameterizing the center inside <code>int</code>\(=(a,b)\)
with the default <code>c=.5</code>.
For the interval, <code>int</code>\(=(a,b)\),
the parameterized center is \(M_c=a+c(b-a)\).</dd></dl>

Arguments

Author

Parameterized center of an interval — centerMc

<dl>

<dt>int</dt>
<dd>A <code>vector</code> with two entries representing an interval.</dd>


<dt>c</dt>
<dd>A positive real number in \((0,1)\)
parameterizing the center inside <code>int</code>\(=(a,b)\)
with the default <code>c=.5</code>.
For the interval, <code>int</code>\(=(a,b)\),
the parameterized center is \(M_c=a+c(b-a)\).</dd>

</dl>

centerMc: Parameterized center of an interval

Description

Usage

Value

Arguments

Author

References

See Also

Examples