qTLCAR

Calculate the quantile value for a given probability using 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

qTLCAR function

<dl><dt>p</dt>
<dd>Probability value (between 0 and 1).</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></dl>

Arguments

Quantile function for TLCAR distribution — qTLCAR

<dl>

<dt>p</dt>
<dd>Probability value (between 0 and 1).</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>

</dl>

qTLCAR: Quantile function for TLCAR distribution

Description

Usage

Value

Arguments

Examples