Description Usage Arguments Details Value Note Author(s) References See Also Examples
The function name iprior
stands for
imprecise prior
. A set of $k$ linear inequality
constraints is used for modelling iprior
. The
details of this specification are given under
‘Details’.
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obj |
an object of class |
eqns |
a list with components of |
circle |
a list with components of |
x |
a numeric vector. |
mat |
a numeric matrix. |
verbose |
a logical value; Be more verbose about the
process by displaying messages. Defaults to
|
Modelling a prior ignorance is the second stage on the
imprecise inferential framework. stage
has the
value "iprior"
that is the name of environment
called.
A convex hull is defined by lhs %*% x >= rhs
,
where lhs
is a constraint matrix k x p and rhs
is a constraint vector of length
k from k linear inequality constraints. The
function iprior
searches for the solutions
xtms
of this system which are the extreme points
of that convex hull.
Depending on the numbers of dimensions p and
constraints k, a shape of this convex hull is
determined. For example, a box-constrained convex hull is
made on p=2 dimensional space with k=4
constraints. When k has an infinite number, a
nutural shape defaults to a circle
on p=2
dimensional space.
An object of class imprecise
with the components:
stage |
the environment name called. |
xtms |
the list of solutions of the system supplied. |
Conventionally, the current version classifies a shape of
convex hull into five categories: eqns2d
,
eqns3d
, eqns4more
, circle2d
, and
sphere3d
for visualization.
It is a difficult task to sarch for extreme points in
more than three dimensional cases. The function
convhulln
in the package geometry
is a good
replacement of iprior
. (See more details about
convhulln
at
http://geometry.r-forge.r-project.org/).
Chel Hee Lee <gnustats@gmail.com>
Lee (2013) “Imprecise inferential framework”, PhD thesis.
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