dnorm_mixture

Computes the probability density function of a finite mixture of normal
distributions at a given point or vector of points.

internal

Provides functions to construct confidence intervals for the Overlap Coefficient (OVL). OVL measures the similarity between two distributions through the overlapping area of their distribution functions. Given its intuitive description and ease of visual representation by the straightforward depiction of the amount of overlap between the two corresponding histograms based on samples of measurements from each one of the two distributions, the development of accurate methods for confidence interval construction can be useful for applied researchers. Implements methods based on the work of Franco-Pereira, A.M., Nakas, C.T., Reiser, B., and Pardo, M.C. (2021) <doi:10.1177/09622802211046386> as well as extensions for multimodal distributions proposed by Alcaraz-Peñalba, A., Franco-Pereira, A., and Pardo, M.C. (2025) <doi:10.1007/s10182-025-00545-2>.

Alba M. Franco-Pereira 

OVL.CI

Inference on the Overlap Coefficient

Christos T. Nakas 

Benjamin Reiser 

M.Carmen Pardo 

Alba Alcaraz-Peñalba 

dnorm_mixture function

<dl><dt>x</dt>
<dd>Numeric vector of points at which the density is evaluated.</dd>
<dt>mu</dt>
<dd>Numeric vector of component means.</dd>
<dt>sigma</dt>
<dd>Numeric vector of component standard deviations.</dd>
<dt>pi</dt>
<dd>Numeric vector of mixing proportions. Must have the same length
as <code>mu</code> and <code>sigma</code>, and sum to 1.</dd></dl>

Arguments

Computes the probability density function of a finite mixture of normal
distributions at a given point or vector of points. — dnorm_mixture

<dl>

<dt>x</dt>
<dd>Numeric vector of points at which the density is evaluated.</dd>


<dt>mu</dt>
<dd>Numeric vector of component means.</dd>


<dt>sigma</dt>
<dd>Numeric vector of component standard deviations.</dd>


<dt>pi</dt>
<dd>Numeric vector of mixing proportions. Must have the same length
as <code>mu</code> and <code>sigma</code>, and sum to 1.</dd>

</dl>

dnorm_mixture: Computes the probability density function of a finite mixture of normal distributions at a given point or vector of points.

Description

Usage

Value

Arguments