LambertW_input_output-methods

print.LambertW_input

plot.LambertW_input

print.LambertW_output

plot.LambertW_output

S3 methods for Lambert W input and output objects 
(created by <code>create_LambertW_input</code> and <code>create_LambertW_output</code>).
<code>plot.LambertW_input</code> plots the theoretical (1) pdf and (2) cdf of the
input \(X \sim F_X(x \mid \boldsymbol \beta)\).
<code>plot.LambertW_output</code> plots the theoretical (1) pdf and (2) cdf of the
output RV \(Y \sim\) Lambert W \(\times\) \(F_X(x \mid \boldsymbol
\beta)\). It overlays the plot with the pdf and cdf of the input RV \(X \sim F_X(x \mid
\boldsymbol \beta)\) (setting \(\gamma = \delta = 0, \alpha = 1\)).
<code>print.LambertW_input</code> prints an overview of the input object.
<code>print.LambertW_output</code> prints an overview of the output object.

hplot

print

Lambert W x F distributions are a generalized framework to analyze
skewed, heavy-tailed data. It is based on an input/output system, where the
output random variable (RV) Y is a non-linearly transformed version of an input
RV X ~ F with similar properties as X, but slightly skewed (heavy-tailed).
The transformed RV Y has a Lambert W x F distribution. This package contains
functions to model and analyze skewed, heavy-tailed data the Lambert Way:
simulate random samples, estimate parameters, compute quantiles, and plot/
print results nicely. The most useful function is 'Gaussianize',
which works similarly to 'scale', but actually makes the data Gaussian.
A do-it-yourself toolkit allows users to define their own Lambert W x
'MyFavoriteDistribution' and use it in their analysis right away.

Georg M Goerg

LambertW

Probabilistic Models to Analyze and Gaussianize Heavy-Tailed,
Skewed Data

Georg M. Goerg

LambertW_input_output-methods function

<dl><dt>x</dt>
<dd>object of class <code>LambertW_input</code> or <code>LambertW_output</code>.</dd>
<dt>xlim</dt>
<dd>lower and upper limit of x-axis for cdf and pdf plots. If <code>NULL</code>,
it tries to determine good limits based on the family type of the distribution
and the quantiles. Most of the times it will show the pdf and cdf from the 0.5% to
99.5% quantile.</dd>
<dt>...</dt>
<dd>further arguments passed to or from other methods.</dd></dl>

Arguments

Methods for Lambert W input and output objects — LambertW_input_output-methods

<dl>

<dt>x</dt>
<dd>object of class <code>LambertW_input</code> or <code>LambertW_output</code>.</dd>


<dt>xlim</dt>
<dd>lower and upper limit of x-axis for cdf and pdf plots. If <code>NULL</code>,
it tries to determine good limits based on the family type of the distribution
and the quantiles. Most of the times it will show the pdf and cdf from the 0.5% to
99.5% quantile.</dd>


<dt>...</dt>
<dd>further arguments passed to or from other methods.</dd>

</dl>

LambertW_input_output-methods: Methods for Lambert W input and output objects

Description

Usage

Arguments

Examples