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The ExtendedLaplace R package provides functions for
the probability density function (dEL()
), cumulative
distribution function (pEL()
), quantile function
(qEL()
), random number generation (rEL()
) and
QQ-plot for the Extended Laplace distribution,
developed to model contaminated Laplace data with additional uniform
errors.
This distribution generalizes the classical Laplace distribution by convolving it with a uniform distribution, which allows for modeling error-prone data in a more robust way.
Developed by:
Saah, D. K., & Kozubowski, T. J. (2025).
A new class of extended Laplace distributions with applications to modeling contaminated Laplace data.
Journal of Computational and Applied Mathematics.
https://doi.org/10.1016/j.cam.2025.116588
You can install the development version from GitHub:
# install.packages("devtools")
::install_github("saahdavid/ExtendedLaplace") devtools
Once submitted to CRAN, you can install it using:
install.packages("ExtendedLaplace")
dEL(y, mu, sigma, delta)
: Density functionpEL(y, mu, sigma, delta)
: Cumulative distribution
functionqEL(u, mu, sigma, delta)
: Quantile functionrEL(n, mu, sigma, delta)
: Random number generationqqplotEL(samples, mu, sigma, delta)
: Quantile-Quantile
Plotlibrary(ExtendedLaplace)
# PDF at y = 0
<- 0; sigma <- 1; delta <- 1
mu dEL(0, mu, sigma, delta)
# CDF at y = 0
pEL(0, mu, sigma, delta)
# Quantile at 0.5 (median)
qEL(0.5, mu, sigma, delta)
# Generate 1000 samples
set.seed(123)
<- rEL(1000, mu, sigma, delta)
samples hist(samples, breaks = 50, freq = FALSE)
curve(dEL(x, mu, sigma, delta), add = TRUE, col = "blue", lwd = 2)
# QQ-Plot
qqplotEL(samples, mu, sigma, delta)
David K. Saah ORCID: 0009-0006-8049-3627 Email: saahdavidkofi@gmail.com
Tomasz J. Kozubowski Email: tkozubow@unr.edu
MIT License (see LICENSE file)
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.