fisheretal

fisheretal.Q4

fisheretal.SO3

Find the radius of a \(100(1-\alpha)\)% confidence region for the central
orientation based on transforming a result from directional statistics.

Tools for working with rotational data, including
simulation from the most commonly used distributions on SO(3),
methods for different Bayes, mean and median type estimators for
the central orientation of a sample, confidence/credible
regions for the central orientation based on those estimators and
a novel visualization technique for rotation data.  Most recently,
functions to identify potentially discordant (outlying) values
have been added.  References: Bingham, Melissa A. and Nordman, Dan J. and Vardeman, Steve B. (2009),
Bingham, Melissa A and Vardeman, Stephen B and Nordman, Daniel J (2009),
Bingham, Melissa A and Nordman, Daniel J and Vardeman, Stephen B (2010),
Leon, C.A. and Masse, J.C. and Rivest, L.P. (2006),
Hartley, R and Aftab, K and Trumpf, J. (2011),
Stanfill, Bryan and Genschel, Ulrike and Hofmann, Heike (2013),
Maonton, Jonathan (2004),
Mardia, KV and Jupp, PE (2000, ISBN:9780471953333),
Rancourt, D. and Rivest, L.P. and Asselin, J. (2000),
Chang, Ted and Rivest, Louis-Paul (2001),
Fisher, Nicholas I. (1996, ISBN:0521568900).

Bryan Stanfill

rotations

Working with Rotation Data

Heike Hofmann

Ulrike Genschel

Aymeric Stamm

Luciano Selzer

fisheretal function

<dl><dt>x</dt>
<dd>\(n\times p\) matrix where each row corresponds to a
random rotation in matrix (\(p=9\)) or quaternion (\(p=4\)) form.</dd>
<dt>alp</dt>
<dd>alpha level desired, e.g. 0.05 or 0.10.</dd>
<dt>boot</dt>
<dd>should the bootstrap or normal theory critical value be used.</dd>
<dt>m</dt>
<dd>number of bootstrap replicates to use to estimate critical value.</dd>
<dt>symm</dt>
<dd>logical; if TRUE (default), a symmetric region is constructed.</dd></dl>

Arguments

Transformation based pivotal bootstrap confidence region — fisheretal

<dl>

<dt>x</dt>
<dd>\(n\times p\) matrix where each row corresponds to a
random rotation in matrix (\(p=9\)) or quaternion (\(p=4\)) form.</dd>


<dt>alp</dt>
<dd>alpha level desired, e.g. 0.05 or 0.10.</dd>


<dt>boot</dt>
<dd>should the bootstrap or normal theory critical value be used.</dd>


<dt>m</dt>
<dd>number of bootstrap replicates to use to estimate critical value.</dd>


<dt>symm</dt>
<dd>logical; if TRUE (default), a symmetric region is constructed.</dd>

</dl>

fisheretal: Transformation based pivotal bootstrap confidence region

Description

Usage

Value

Arguments

Details

See Also

Examples