ptppxg: Cumulative Mass Function of the TPPXG Distribution

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

Cumulative Mass Function of the TPPXG Distribution

Description

Computes the cumulative mass function of the Two Parameter Poisson Xgamma distribution for given values.

Usage

ptppxg(x , alpha = 1, theta = 1)

Arguments

x	A numeric vector containg non-negative integer values.
alpha	A positive real number.
theta	A positive real number.

Details

The cumulative distribution function of the Two Parameter Poisson Xgamma is given by:

F(x)=1-\frac{1}{2(\alpha+\theta)(1+\theta)^{x+3}}\left((x^2+5x+6)\alpha \theta^2+2(x+3)\alpha \theta +2(1+\theta)^2+2\alpha \right)

Value

A numeric vector containing the cumulative mass function of the TPPXG 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

"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."

See Also

dtppxg,qtppxg,rtppxg

Examples

x <- rtppxg(100)
ptppxg(x, 1, 1)

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