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:

Other contributors:

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:


[Package gaussratiovegind version 2.0.3 Index]