OVL_mix

Computes the overlap coefficient (OVL) between two cumulative distribution
functions corresponding to finite mixtures of two normal distributions.

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 

OVL_mix function

<dl><dt>mu1</dt>
<dd>Numeric vector of length 2 containing the means of the first mixture.</dd>
<dt>mu2</dt>
<dd>Numeric vector of length 2 containing the means of the second mixture.</dd>
<dt>sigma1</dt>
<dd>Numeric vector of length 2 containing the standard deviations of
the first mixture.</dd>
<dt>sigma2</dt>
<dd>Numeric vector of length 2 containing the standard deviations of
the second mixture.</dd>
<dt>pi_H</dt>
<dd>Either a numeric scalar in [0,1] giving the mixing proportion
of the first component in the first mixture, or a numeric vector of length 2
with elements summing to 1.</dd>
<dt>pi_D</dt>
<dd>Either a numeric scalar in [0,1] giving the mixing proportion
of the first component in the second mixture, or a numeric vector of length 2
with elements summing to 1.</dd>
<dt>x</dt>
<dd>Numeric vector of intersection points between the two mixture
densities.</dd></dl>

Arguments

Computes the overlap coefficient (OVL) between two cumulative distribution
functions corresponding to finite mixtures of two normal distributions. — OVL_mix

<dl>

<dt>mu1</dt>
<dd>Numeric vector of length 2 containing the means of the first mixture.</dd>


<dt>mu2</dt>
<dd>Numeric vector of length 2 containing the means of the second mixture.</dd>


<dt>sigma1</dt>
<dd>Numeric vector of length 2 containing the standard deviations of
the first mixture.</dd>


<dt>sigma2</dt>
<dd>Numeric vector of length 2 containing the standard deviations of
the second mixture.</dd>


<dt>pi_H</dt>
<dd>Either a numeric scalar in [0,1] giving the mixing proportion
of the first component in the first mixture, or a numeric vector of length 2
with elements summing to 1.</dd>


<dt>pi_D</dt>
<dd>Either a numeric scalar in [0,1] giving the mixing proportion
of the first component in the second mixture, or a numeric vector of length 2
with elements summing to 1.</dd>


<dt>x</dt>
<dd>Numeric vector of intersection points between the two mixture
densities.</dd>

</dl>

OVL_mix: Computes the overlap coefficient (OVL) between two cumulative distribution functions corresponding to finite mixtures of two normal distributions.

Description

Usage

Value

Arguments

Details