ploTLCAR

Generate a graphical plot of the probability density function (PDF) or cumulative distribution function (CDF) for the TLCAR distribution.

Provides a comprehensive suite of statistical tools for analyzing, simulating, and computing properties of the Topp-Leone Cauchy Rayleigh (TLCAR) distribution, a versatile distribution amalgamating features of the Topp-Leone, Cauchy, and Rayleigh distributions, ideal for modeling intricate, heterogeneous data across scientific domains. See Atchadé, M.N., Bogninou, M.J., and Djibril, A.M. (2023) <doi:10.1007/s44199-023-00066-4> and Atchadé, M.N., Bogninou, M.J., and Djibril, A.M. (2024) <doi:10.1007/s44199-023-00069-1> for further insights.

Jude Mahoulé Bogninou

TLCAR

Computation of Topp-Leone Cauchy Rayleigh (TLCAR )
distribution's properties

Mintodê Nicodème Atchadé

ploTLCAR function

<dl><dt>x</dt>
<dd>The range of values to plot the distribution.</dd>
<dt>alpha</dt>
<dd>Parameter representing the distribution of the Topp-Leone component.</dd>
<dt>a</dt>
<dd>Parameter representing the scale (a) of the Cauchy component.</dd>
<dt>b</dt>
<dd>Parameter representing the position (b) of the Cauchy component.</dd>
<dt>theta</dt>
<dd>Parameter representing the scale of the Rayleigh component.</dd>
<dt>m</dt>
<dd>Additional parameter.</dd>
<dt>type</dt>
<dd>The type of plot to generate: "pdf" for PDF plot, "cdf" for CDF plot.</dd></dl>

Arguments

Graphical Plot of the TLCAR Distribution — ploTLCAR

<dl>

<dt>x</dt>
<dd>The range of values to plot the distribution.</dd>


<dt>alpha</dt>
<dd>Parameter representing the distribution of the Topp-Leone component.</dd>


<dt>a</dt>
<dd>Parameter representing the scale (a) of the Cauchy component.</dd>


<dt>b</dt>
<dd>Parameter representing the position (b) of the Cauchy component.</dd>


<dt>theta</dt>
<dd>Parameter representing the scale of the Rayleigh component.</dd>


<dt>m</dt>
<dd>Additional parameter.</dd>


<dt>type</dt>
<dd>The type of plot to generate: "pdf" for PDF plot, "cdf" for CDF plot.</dd>

</dl>

ploTLCAR: Graphical Plot of the TLCAR Distribution

Description

Usage

Value

Arguments

Examples