rVIB

The function generates random values from the variance-inflated beta distribution, or from the augmented variance-inflated beta distribution.

Functions to fit regression models for bounded (e.g., proportions and rates) and binomial responses. In case of bounded responses, available models are the flexible beta (Migliorati, S., Di Brisco, A. M., Ongaro, A. (2018) <doi:10.1214/17-BA1079>), the variance-inflated beta (Di Brisco, A. M., Migliorati, S., Ongaro, A. (2020) <doi:10.1177/1471082X18821213>), the beta (Ferrari, S.L.P., Cribari-Neto, F. (2004) <doi:10.1080/0266476042000214501>), and their augmented versions to handle the presence of zero/one values (Di Brisco, A. M., Migliorati, S. (2020) <doi:10.1002/sim.8406>). In case of binomial responses, available models are the flexible beta-binomial (Ascari, R., Migliorati, S. (2021) <doi:10.1002/sim.9005>), the beta-binomial, and the binomial. Inference is dealt with a Bayesian approach based on the Hamiltonian Monte Carlo (HMC) algorithm (Gelman, A., Carlin, J. B., Stern, H. S., Rubin, D. B. (2014) <doi:10.1201/b16018>). Besides, functions to compute residuals, posterior predictives, goodness-of-fit measures, convergence diagnostics, and graphical representations are provided.

Roberto Ascari

FlexReg

Regression Models for Bounded and Binomial Responses

rVIB function

<dl><dt>n</dt>
<dd>the number of values to generate. If <code>length(n) &gt; 1</code>, the length is taken to be the number required.</dd>
<dt>mu</dt>
<dd>the mean parameter of the variance-inflated distribution. It must lie in (0, 1).</dd>
<dt>phi</dt>
<dd>the precision parameter of the variance-inflated distribution. It must be a positive real value.</dd>
<dt>p</dt>
<dd>the mixing weight. It must lie in (0, 1).</dd>
<dt>k</dt>
<dd>the extent of the variance inflation. It must lie in (0, 1).</dd>
<dt>q0</dt>
<dd>the probability of augmentation in zero. It must lie in (0, 1). In case of no augmentation is <code>NULL</code> (default).</dd>
<dt>q1</dt>
<dd>the probability of augmentation in one. It must lie in (0, 1). In case of no augmentation is <code>NULL</code> (default).</dd></dl>

Arguments

Random generation from the variance-inflated beta distribution — rVIB

<dl>

<dt>n</dt>
<dd>the number of values to generate. If <code>length(n) &gt; 1</code>, the length is taken to be the number required.</dd>


<dt>mu</dt>
<dd>the mean parameter of the variance-inflated distribution. It must lie in (0, 1).</dd>


<dt>phi</dt>
<dd>the precision parameter of the variance-inflated distribution. It must be a positive real value.</dd>


<dt>p</dt>
<dd>the mixing weight. It must lie in (0, 1).</dd>


<dt>k</dt>
<dd>the extent of the variance inflation. It must lie in (0, 1).</dd>


<dt>q0</dt>
<dd>the probability of augmentation in zero. It must lie in (0, 1). In case of no augmentation is <code>NULL</code> (default).</dd>


<dt>q1</dt>
<dd>the probability of augmentation in one. It must lie in (0, 1). In case of no augmentation is <code>NULL</code> (default).</dd>

</dl>

rVIB: Random generation from the variance-inflated beta distribution

Description

Usage

Value

Arguments

References

Examples