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gaussratiovegind

Description

It is well known that the distribution of a Gaussian ratio does not follow a Gaussian distribution. The lack of awareness among users of vegetation indices about this non-Gaussian nature could lead to incorrect statistical modeling and interpretation. This package provides tools to accurately handle and analyse such ratios:

  • Probability density function
  • Cumulative distribution function
  • Sample simulation
  • Parameter estimation

An example on the study of chlorophyll fluorescence can be found in A. El Ghaziri et al. (2023)

Installation

Install the package from CRAN:

install.packages("gaussratiovegind")

Or install the development version from the repository, using the devtools package:

install.packages("devtools")
devtools::install_gitlab("imhorphen/gaussratiovegind",
                         host = "https://forge.inrae.fr")

Authors

Pierre Santagostini, Angélina El Ghaziri, Nizar Bouhlel and David Rousseau

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). https://doi.org/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. https://doi.org/10.23919/EUSIPCO58844.2023.10290111

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Version

Install

install.packages('gaussratiovegind')

Monthly Downloads

135

Version

2.0.3

License

GPL (>= 3)

Maintainer

Pierre Santagostini

Last Published

June 16th, 2025

Functions in gaussratiovegind (2.0.3)

pnormratio

Cumulative Distribution of a Normal Ratio Distribution
pochhammer

Pochhammer Symbol
rnormratio

Simulate from a Normal Ratio Distribution
gaussratiovegind-package

gaussratiovegind: Distribution of Gaussian Ratios
estparnormratio

Estimation of the Parameters of a Normal Ratio Distribution
kummer

Confluent \(D\)-Hypergeometric Function
lnpochhammer

Logarithm of the Pochhammer Symbol
dnormratio

Density Function of a Normal Ratio Distribution
arabidopsis

Statistics on Chlorophyll Fluorescence Parameters