tppxg.mle: Maximum likelihood estimation of the TPPXG distribution...

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

Maximum likelihood estimation of the TPPXG distribution parameters.

Description

Estimation of \alpha and \theta parameters of Two Parameter Poisson Xgamma distribution using maximum likelihood.

Usage

tppxg.mle(x)

Arguments

x	A numeric vector containg non-negative integer values.

Details

The log-likelihood function of the TPPXG distribution is given by:

\ln L(\alpha,\theta)=2n\ln \theta-n\ln(\alpha+\theta)-\left(3n+\sum_{i=1}^n x_i\right)\ln(1+\theta)+ \sum_{i=1}^n\ln \left((1+\theta)^2+\frac{\alpha \theta}{2}(x_i+1)(x_i+2)\right)

Value

A named numeric vector containing the estimated values for \alpha, \theta and maximum likelihood.

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

tppxg.reg

Examples

x <- rtppxg(1000)
tppxg.mle(x)

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