gaussratiovegind-package | R Documentation |
This package provides tools for the distribution of the ratio of Gaussian distributions:
Probability density function
Cumulative distribution function
Sample simulation
Parameter estimation using the EM (expectation-maximization) algorithm or the variational Bayes method
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.
Maintainer: Pierre Santagostini pierre.santagostini@institut-agro.fr
Authors:
Angélina El Ghaziri
Nizar Bouhlel
Other contributors:
David Rousseau [contributor]
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")}
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