countable_set

<p>A countably infinite support set, such as the non-negative
integers. It satisfies the concept of a support (see <code>has</code>,
<code>infimum</code>, <code>supremum</code>, <code><a href="/link/dim?package=algebraic.dist&version=0.9.1" data-mini-rdoc="algebraic.dist::dim">dim</a></code>).</p>

Provides an algebra over probability distributions enabling
composition, sampling, and automatic simplification to closed forms.
Supports normal, exponential, gamma, Weibull, chi-squared, uniform,
beta, log-normal, Poisson, multivariate normal, empirical, and mixture
distributions with algebraic operators (addition, subtraction,
multiplication, division, power, exp, log, min, max) that automatically
simplify when mathematical identities apply. Includes closed-form MVN
conditioning (Schur complement), affine transformations, mixture
marginals/conditionals (Bayes rule), and limiting distribution builders
(CLT, LLN, delta method). Uses S3 classes for distributions and R6
for support objects.

Alexander Towell

algebraic.dist

Algebra over Probability Distributions

countable_set function

<p><div class="r6-fields"></div></p><dl>
<dt><code>lower_bound</code></dt>
<dd><p>Integer lower bound of the set.</p></dd><p></p><p>
</p></dl><p></p>

Public fields


<div class="section" id="public-methods">
<h3>Public methods</h3><p></p><p><ul>
<li><p><a href="/link/countable_set%24new()?package=algebraic.dist&version=0.9.1" data-mini-rdoc="algebraic.dist::countable_set$new()"><code>countable_set$new()</code></a></p></li>
<li><p><a href="/link/countable_set%24clone()?package=algebraic.dist&version=0.9.1" data-mini-rdoc="algebraic.dist::countable_set$clone()"><code>countable_set$clone()</code></a></p></li>
</ul></p><p></p></div><p><hr>
<a id="method-countable_set-new"></a></p><div class="section" id="method-new-">
<h3>Method <code>new()</code></h3>
<p>Initialize a countable set.</p><div class="section" id="usage">
<h4>Usage</h4>
<p><div class="r"></div></p><pre><code>countable_set$new(lower = 0L)</code></pre><p></p></div><p></p>
</div><p></p><p><div class="section" id="arguments">
<h4>Arguments</h4>
<p><div class="arguments"></div></p><dl>
<dt><code>lower</code></dt>
<dd><p>Integer lower bound (default 0).</p></dd></dl></div></p><p>
</p><p></p>
<p></p><p></p><p><hr>
<a id="method-countable_set-clone"></a></p><div class="section" id="method-clone-">
<h3>Method <code>clone()</code></h3>
<p>The objects of this class are cloneable with this method.</p><div class="section" id="usage">
<h4>Usage</h4>
<p><div class="r"></div></p><pre><code>countable_set$clone(deep = FALSE)</code></pre><p></p></div><p></p>
</div><p></p><p><div class="section" id="arguments">
<h4>Arguments</h4>
<p><div class="arguments"></div></p><dl>
<dt><code>deep</code></dt>
<dd><p>Whether to make a deep clone.</p></dd></dl></div></p><p>
</p><p></p>
<p></p><p>
</p>

Methods

<p>A countably infinite support set, such as the non-negative
integers. It satisfies the concept of a support (see <code>has</code>,
<code>infimum</code>, <code>supremum</code>, <code><a href='https://rdrr.io/r/base/dim.html'>dim</a></code>).</p>

Countable Set — countable_set

<p><div class="r6-fields"></p><dl>
<dt><code>lower_bound</code></dt>
<dd><p>Integer lower bound of the set.</p></dd>


</dl><p></div></p>


<div class='section' id='public-methods'>
<h3>Public methods</h3>

<ul>
<li><p><a href='#method-countable_set-new'><code>countable_set$new()</code></a></p></li>
<li><p><a href='#method-countable_set-clone'><code>countable_set$clone()</code></a></p></li>
</ul>

</div><p><hr>
<a id="method-countable_set-new"></a></p><div class='section' id='method-new-'>
<h3>Method <code>new()</code></h3>
<p>Initialize a countable set.</p><div class='section' id='usage'>
<h4>Usage</h4>
<p><div class="r"></p><pre><code>countable_set$new(lower = 0L)</code></pre><p></div></p>
</div>

<div class='section' id='arguments'>
<h4>Arguments</h4>
<p><div class="arguments"></p><dl>
<dt><code>lower</code></dt>
<dd><p>Integer lower bound (default 0).</p></dd>


</dl><p></div></p>
</div>

</div><p><hr>
<a id="method-countable_set-clone"></a></p><div class='section' id='method-clone-'>
<h3>Method <code>clone()</code></h3>
<p>The objects of this class are cloneable with this method.</p><div class='section' id='usage'>
<h4>Usage</h4>
<p><div class="r"></p><pre><code>countable_set$clone(deep = FALSE)</code></pre><p></div></p>
</div>

<div class='section' id='arguments'>
<h4>Arguments</h4>
<p><div class="arguments"></p><dl>
<dt><code>deep</code></dt>
<dd><p>Whether to make a deep clone.</p></dd>


</dl><p></div></p>
</div>

</div>


countable_set: Countable Set

Description

Arguments

Public fields

Methods

Public methods

Method `new()`

Usage

Arguments

Method `clone()`

Usage

Arguments

Description

Arguments

Public fields

Methods

Public methods

Method new()

Usage

Arguments

Method clone()

Usage

Arguments

Method `new()`

Method `clone()`