gaussratiovegind-package {gaussratiovegind} | R 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). 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. doi:10.23919/EUSIPCO58844.2023.10290111
See Also
Useful links:
Report bugs at https://forge.inrae.fr/imhorphen/gaussratiovegind/-/issues