BetaBinomial

dbeta_binomial

pbeta_binomial

rbeta_binomial

Cumulative density &amp; mass functions, and random number generation for the
Beta-binomial distribution using the following re-parameterisation of the
<a href="https://mc-stan.org/docs/2_29/functions-reference/beta-binomial-distribution.html">Stan
Beta-binomial definition</a>:<ul>
<li><code>mu = alpha * beta</code> mean probability of trial success.</li>
<li><code>phi = (1 - mu) * beta</code> precision or over-dispersion, component.</li>
</ul>

Fit Bayesian generalized (non-)linear multivariate multilevel models
using 'Stan' for full Bayesian inference. A wide range of distributions
and link functions are supported, allowing users to fit -- among others --
linear, robust linear, count data, survival, response times, ordinal,
zero-inflated, hurdle, and even self-defined mixture models all in a
multilevel context. Further modeling options include both theory-driven and
data-driven non-linear terms, auto-correlation structures, censoring and
truncation, meta-analytic standard errors, and quite a few more.
In addition, all parameters of the response distribution can be predicted
in order to perform distributional regression. Prior specifications are
flexible and explicitly encourage users to apply prior distributions that
actually reflect their prior knowledge. Models can easily be evaluated and
compared using several methods assessing posterior or prior predictions.
References: Bürkner (2017) <doi:10.18637/jss.v080.i01>;
Bürkner (2018) <doi:10.32614/RJ-2018-017>;
Bürkner (2021) <doi:10.18637/jss.v100.i05>; Carpenter et al. (2017)
<doi:10.18637/jss.v076.i01>.

PaulChristian Buerkner

brms

Bayesian Regression Models using 'Stan'

Paul-Christian Bürkner

Jonah Gabry

Sebastian Weber

Andrew Johnson

Martin Modrak

Hamada S. Badr

Frank Weber

Mattan S. Ben-Shachar

Hayden Rabel

Simon C. Mills

Stephen Wild

BetaBinomial function

<dl><dt>x, q</dt>
<dd>Vector of quantiles.</dd>
<dt>size</dt>
<dd>Vector of number of trials (zero or more).</dd>
<dt>mu</dt>
<dd>Vector of means.</dd>
<dt>phi</dt>
<dd>Vector of precisions.</dd>
<dt>log</dt>
<dd>Logical; If <code>TRUE</code>, values are returned on the log scale.</dd>
<dt>lower.tail</dt>
<dd>Logical; If <code>TRUE</code> (default), return P(X &lt;= x).
Else, return P(X &gt; x) .</dd>
<dt>log.p</dt>
<dd>Logical; If <code>TRUE</code>, values are returned on the log scale.</dd>
<dt>n</dt>
<dd>Number of draws to sample from the distribution.</dd></dl>

Arguments

Cumulative density &amp; mass functions, and random number generation for the
Beta-binomial distribution using the following re-parameterisation of the
<a href='https://mc-stan.org/docs/2_29/functions-reference/beta-binomial-distribution.html'>Stan
Beta-binomial definition</a>:<ul>
<li><code>mu = alpha * beta</code> mean probability of trial success.</li>
<li><code>phi = (1 - mu) * beta</code> precision or over-dispersion, component.</li>
</ul>

The Beta-binomial Distribution — BetaBinomial

<dl>

<dt>x, q</dt>
<dd>Vector of quantiles.</dd>


<dt>size</dt>
<dd>Vector of number of trials (zero or more).</dd>


<dt>mu</dt>
<dd>Vector of means.</dd>


<dt>phi</dt>
<dd>Vector of precisions.</dd>


<dt>log</dt>
<dd>Logical; If <code>TRUE</code>, values are returned on the log scale.</dd>


<dt>lower.tail</dt>
<dd>Logical; If <code>TRUE</code> (default), return P(X &lt;= x).
Else, return P(X &gt; x) .</dd>


<dt>log.p</dt>
<dd>Logical; If <code>TRUE</code>, values are returned on the log scale.</dd>


<dt>n</dt>
<dd>Number of draws to sample from the distribution.</dd>

</dl>

The Beta-binomial Distribution

BetaBinomial: The Beta-binomial Distribution

Description

Usage

Arguments