FIM_mixture_normals

Computes a Fisher information matrix approximation based on the outer product
of gradients for a two-component univariate Gaussian mixture model.

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 

FIM_mixture_normals function

<dl><dt>data</dt>
<dd>Numeric vector of observations.</dd>
<dt>params</dt>
<dd>List with elements <code>pi</code>, <code>mu1</code>, <code>mu2</code>, <code>sigma1</code>, <code>sigma2</code>.</dd></dl>

Arguments

Fisher information matrix for a two-component Gaussian mixture (working approximation). — FIM_mixture_normals

<dl>

<dt>data</dt>
<dd>Numeric vector of observations.</dd>


<dt>params</dt>
<dd>List with elements <code>pi</code>, <code>mu1</code>, <code>mu2</code>, <code>sigma1</code>, <code>sigma2</code>.</dd>

</dl>

FIM_mixture_normals: Fisher information matrix for a two-component Gaussian mixture (working approximation).

Description

Usage

Value

Arguments