qtpxg: Inverse Cumulative Density Function of the TPXG Distribution

In TPXG: Two Parameter Xgamma & Poisson Xgamma: Regression & Distribution Functions

Inverse Cumulative Density Function of the TPXG Distribution

Description

Computes the inverse cumulative density function of the Two-Parameter Xgamma distribution for given probabilities.

Usage

qtpxg(p, alpha = 1, theta = 1 , tol = 1e-5)

Arguments

p	A numeric vector containing values in [0,1].
alpha	A positive real number.
theta	A positive real number
tol	A positive real number specifying the tolerance level for the convergence of the Newton-Raphson algorithm.

Details

This function uses the Newton-Raphson algorithm in order to estimate the inverse cumulative density function.

Value

A numeric vector containing the inverse cumulative density function values of the TPXG distribution for each of the given values of x.

Author(s)

Nikolaos Kontemeniotis.

R implementation and documentation: Nikolaos Kontemeniotis [e-mail] and Michail Tsagris [e-mail].

References

"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."

See Also

dtpxg,ptpxg,rtpxg

Examples

p <- runif(100)
qtpxg(p, 1, 1)

TPXG documentation built on April 3, 2025, 10:37 p.m.