dtnorm

This function calculates the density of a truncated normal distribution at specified points.

Bayesian estimation and analysis methods for Probit Unfolding Models (PUMs), a novel class of scaling models designed for binary preference data. These models allow for both monotonic and non-monotonic response functions. The package supports Bayesian inference for both static and dynamic PUMs using Markov chain Monte Carlo (MCMC) algorithms with minimal or no tuning. Key functionalities include posterior sampling, hyperparameter selection, data preprocessing, model fit evaluation, and visualization. The methods are particularly suited to analyzing voting data, such as from the U.S. Congress or Supreme Court, but can also be applied in other contexts where non-monotonic responses are expected. For methodological details, see Shi et al. (2025) <doi:10.48550/arXiv.2504.00423>.

Skylar Shi

pumBayes

Bayesian Estimation of Probit Unfolding Models for Binary
Preference Data

Abel Rodriguez

Rayleigh Lei

Jonathan Olmsted

dtnorm function

<dl><dt>x</dt>
<dd>A numeric vector of quantiles at which to evaluate the density.</dd>
<dt>mean</dt>
<dd>A numeric value specifying the mean of the normal distribution (default is 0).</dd>
<dt>sd</dt>
<dd>A numeric value specifying the standard deviation of the normal distribution (default is 1, must be positive).</dd>
<dt>lower</dt>
<dd>A numeric value specifying the lower bound of truncation (default is -Inf).</dd>
<dt>upper</dt>
<dd>A numeric value specifying the upper bound of truncation (default is Inf).</dd></dl>

Arguments

Density Function for Truncated Normal Distribution — dtnorm

<dl>

<dt>x</dt>
<dd>A numeric vector of quantiles at which to evaluate the density.</dd>


<dt>mean</dt>
<dd>A numeric value specifying the mean of the normal distribution (default is 0).</dd>


<dt>sd</dt>
<dd>A numeric value specifying the standard deviation of the normal distribution (default is 1, must be positive).</dd>


<dt>lower</dt>
<dd>A numeric value specifying the lower bound of truncation (default is -Inf).</dd>


<dt>upper</dt>
<dd>A numeric value specifying the upper bound of truncation (default is Inf).</dd>

</dl>

dtnorm: Density Function for Truncated Normal Distribution

Description

Usage

Value

Arguments

Examples