Description Usage Arguments Value References See Also Examples
Density, cumulative distribution function, quantile function and random sample generation for the quantile-based asymmetric Laplace distribution (ALaD) discussed in Yu and Zhang (2005) and Gijbels et al. (2019a).
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y, q |
These are each a vector of quantiles. |
mu |
This is the location parameter μ. |
phi |
This is the scale parameter φ. |
alpha |
This is the index parameter α. |
beta |
This is a vector of probabilities. |
n |
This is the number of observations, which must be a positive integer that has length 1. |
dALaD
provides the density, pALaD
provides the cumulative distribution function, qALaD
provides the quantile function, and rALaD
generates a random sample from the quantile-based asymmetric Laplace distribution.
The length of the result is determined by n for rALaD
, and is the maximum of the lengths of the numerical arguments for the other functions.
Gijbels, I., Karim, R. and Verhasselt, A. (2019a). On quantile-based asymmetric family of distributions: properties and inference. International Statistical Review, https://doi.org/10.1111/insr.12324.
Yu., K, and Zhang, J. (2005). A three-parameter asymmetric Laplace distribution and its extension. Communications in Statistics–Theory and Methods, 34(9-10), 1867–1879.
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