qtppxg

Computes the inverse cumulative mass function (quantile function) of the Two Parameter Poisson Xgamma distribution for given probability values.

Inverse Cumulative Mass Function of the TPPXG Distribution

The two-parameter Xgamma and Poisson Xgamma distributions are analyzed, covering standard distribution and regression functions, maximum likelihood estimation, quantile functions, probability density and mass functions, cumulative distribution functions, and random number generation. References include: "Sen, S., Chandra, N. and Maiti, S. S. (2018). On properties and applications of a two-parameter XGamma distribution. Journal of Statistical Theory and Applications, 17(4): 674--685. <doi:10.2991/jsta.2018.17.4.9>." "Wani, M. A., Ahmad, P. B., Para, B. A. and Elah, N. (2023). A new regression model for count data with applications to health care data. International Journal of Data Science and Analytics. <doi:10.1007/s41060-023-00453-1>."

Nikolaos Kontemeniotis

TPXG

Two Parameter Xgamma & Poisson Xgamma: Regression & Distribution
Functions

Michail Tsagris

Inverse Cumulative Mass Function of the TPPXG Distribution function

<dl><dt>p</dt>
<dd>A numeric vector containg values in [0,1].</dd><dt>alpha</dt>
<dd>A positive real number.</dd><dt>theta</dt>
<dd>A positive real number.</dd><dt>tol</dt>
<dd>A positive real number specifying the tolerance level for the convergence of the Newton-Raphson algorithm.</dd></dl>

Arguments

Nikolaos Kontemeniotis.
R implementation and documentation: Nikolaos Kontemeniotis <a href="/link/kontemeniotisn%40gmail.com?package=TPXG&version=1.0" data-mini-rdoc="TPXG::kontemeniotisn@gmail.com">kontemeniotisn@gmail.com</a>
and Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=TPXG&version=1.0" data-mini-rdoc="TPXG::mtsagris@uoc.gr">mtsagris@uoc.gr</a>.

Author

Inverse Cumulative Mass Function of the TPPXG Distribution — Inverse Cumulative Mass Function of the TPPXG Distribution

<dl>

<dt>p</dt>
<dd>A numeric vector containg values in [0,1].</dd>

<dt>alpha</dt>
<dd>A positive real number.</dd>

<dt>theta</dt>
<dd>A positive real number.</dd>

<dt>tol</dt>
<dd>A positive real number specifying the tolerance level for the convergence of the Newton-Raphson algorithm.</dd>

</dl>

Nikolaos Kontemeniotis.
R implementation and documentation: Nikolaos Kontemeniotis <a href='mailto:kontemeniotisn@gmail.com'>kontemeniotisn@gmail.com</a>
and Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a>.

Inverse Cumulative Mass Function of the TPPXG Distribution: Inverse Cumulative Mass Function of the TPPXG Distribution

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples