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 

U function

<dl><dt>mu1</dt>
<dd>sample mean of a vector x.</dd>
<dt>mu2</dt>
<dd>sample mean of a vector y.</dd>
<dt>sigma1</dt>
<dd>sample standard deviation of a vector x.</dd>
<dt>sigma2</dt>
<dd>sample standard deviation of a vector y.</dd></dl>

Arguments

Evaluates an auxiliary function. — U

<dl>

<dt>mu1</dt>
<dd>sample mean of a vector x.</dd>


<dt>mu2</dt>
<dd>sample mean of a vector y.</dd>


<dt>sigma1</dt>
<dd>sample standard deviation of a vector x.</dd>


<dt>sigma2</dt>
<dd>sample standard deviation of a vector y.</dd>

</dl>

Evaluates an auxiliary function.

U: Evaluates an auxiliary function.

Description

Usage

Value

Arguments