gaussratiovegind-package: gaussratiovegind: Distribution of Gaussian Ratios

gaussratiovegind-packageR Documentation

gaussratiovegind: Distribution of Gaussian Ratios

Description

This package provides tools for the distribution of the ratio of Gaussian distributions:

dnormratio

Probability density function

pnormratio

Cumulative distribution function

rnormratio

Sample simulation

estparnormratio

Parameter estimation using the EM (expectation-maximization) algorithm or the variational Bayes method

Details

It is well known that the distribution of Gaussian ratios does not follow a Gaussian distribution.

This issue arises in many vegetation indices based on the ratio of spectral reflectance values from different bands (e.g., near-infrared, red, or chlorophyll content bands) commonly used in remote sensing and agricultural studies. However, the lack of awareness among users of vegetation indices about this non-Gaussian nature often leads to incorrect statistical modeling and interpretation.

This package provides tools to accurately handle and analyze the distribution of such ratios.

Author(s)

Maintainer: Pierre Santagostini pierre.santagostini@institut-agro.fr

Authors:

  • Angélina El Ghaziri

  • Nizar Bouhlel

Other contributors:

  • David Rousseau [contributor]

References

El Ghaziri, A., Bouhlel, N., Sapoukhina, N., Rousseau, D., On the importance of non-Gaussianity in chlorophyll fluorescence imaging. Remote Sensing 15(2), 528 (2023). \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3390/rs15020528")}

Bouhlel, N., Mercier, F., El Ghaziri, A., Rousseau, D., Parameter Estimation of the Normal Ratio Distribution with Variational Inference. 2023 31st European Signal Processing Conference (EUSIPCO), Helsinki, Finland, 2023, pp. 1823-1827. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.23919/EUSIPCO58844.2023.10290111")}

See Also

Useful links:


gaussratiovegind documentation built on June 16, 2025, 5:09 p.m.