Distribution of Gaussian Ratios

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: density function, parameter estimation, simulation. An example on the study of chlorophyll fluorescence can be found in A. El Ghaziri et al. (2023) and another method for parameter estimation is given in Bouhlel et al. (2023) .


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

Reference manual

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install.packages("gaussratiovegind")

3.0.0 by Pierre Santagostini, 8 months ago


https://forge.inrae.fr/imhorphen/gaussratiovegind


Report a bug at https://forge.inrae.fr/imhorphen/gaussratiovegind/-/issues


Browse source code at https://github.com/cran/gaussratiovegind


Authors: Pierre Santagostini [aut, cre] , Nizar Bouhlel [aut] , Angélina El Ghaziri [aut] , David Rousseau [ctb]


Documentation:   PDF Manual  


GPL (>= 3) license


Imports MASS

Suggests testthat


See at CRAN