iseq

This internal function is used to determine whether two vectors/matrices have
the same elements (or, a vector/matrix is all equal to 0)
using <code><a href="/link/all.equal()?package=qfratio&version=1.1.1" data-mini-rdoc="qfratio::all.equal()">all.equal()</a></code>. Attributes and dimensions are ignored as
they are passed as vectors using <code><a href="/link/c()?package=qfratio&version=1.1.1" data-mini-rdoc="qfratio::c()">c()</a></code>.

Evaluates moments of ratios (and products) of quadratic forms
in normal variables, specifically using recursive algorithms developed by
Bao and Kan (2013) <doi:10.1016/j.jmva.2013.03.002> and Hillier et al.
(2014) <doi:10.1017/S0266466613000364>. Also provides distribution,
quantile, and probability density functions of simple ratios of quadratic
forms in normal variables with several algorithms. Originally developed as
a supplement to Watanabe (2023) <doi:10.1007/s00285-023-01930-8> for
evaluating average evolvability measures in evolutionary quantitative
genetics, but can be used for a broader class of statistics. Generating
functions for these moments are also closely related to the top-order zonal
and invariant polynomials of matrix arguments.

Junya Watanabe

qfratio

Moments and Distributions of Ratios of Quadratic Forms Using
Recursion

Patrick Alken

Brian Gough

Pavel Holoborodko

Gerard Jungman

Reid Priedhorsky

Free Software Foundation, Inc. 

iseq function

<dl><dt>x</dt>
<dd>Main <code>target</code> vector/matrix in <code><a href="/link/all.equal()?package=qfratio&version=1.1.1" data-mini-rdoc="qfratio::all.equal()">all.equal()</a></code></dd>
<dt>y</dt>
<dd><code>current</code> in <code><a href="/link/all.equal()?package=qfratio&version=1.1.1" data-mini-rdoc="qfratio::all.equal()">all.equal()</a></code>. Default zero vector.</dd>
<dt>tol</dt>
<dd>Numeric to specify <code>tolerance</code> in <code><a href="/link/all.equal()?package=qfratio&version=1.1.1" data-mini-rdoc="qfratio::all.equal()">all.equal()</a></code></dd></dl>

Arguments

This internal function is used to determine whether two vectors/matrices have
the same elements (or, a vector/matrix is all equal to 0)
using <code><a href='https://rdrr.io/r/base/all.equal.html'>all.equal()</a></code>. Attributes and dimensions are ignored as
they are passed as vectors using <code><a href='https://rdrr.io/r/base/c.html'>c()</a></code>.

Are these vectors equal? — iseq

<dl>

<dt>x</dt>
<dd>Main <code>target</code> vector/matrix in <code><a href='https://rdrr.io/r/base/all.equal.html'>all.equal()</a></code></dd>


<dt>y</dt>
<dd><code>current</code> in <code><a href='https://rdrr.io/r/base/all.equal.html'>all.equal()</a></code>. Default zero vector.</dd>


<dt>tol</dt>
<dd>Numeric to specify <code>tolerance</code> in <code><a href='https://rdrr.io/r/base/all.equal.html'>all.equal()</a></code></dd>

</dl>

iseq: Are these vectors equal?

Description

Usage

Arguments

See Also