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TPXG (version 1.0)

Two Parameter Xgamma & Poisson Xgamma: Regression & Distribution Functions

Description

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. ." "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. ."

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Version

Install

install.packages('TPXG')

Version

1.0

License

GPL (>= 2)

Maintainer

Nikolaos Kontemeniotis

Last Published

March 18th, 2025

Functions in TPXG (1.0)

Maximum Likelihood Estimation of TPXG Distribution

Maximum likelihood estimation of the TPXG distribution parameters.
TPXG

Two Parameter Xgamma & Poisson Xgamma: Regression & Distribution Functions.
Inverse Cumulative Mass Function of the TPPXG Distribution

Inverse Cumulative Mass Function of the TPPXG Distribution
Inverse Cumulative Density Function of the TPXG Distribution

Inverse Cumulative Density Function of the TPXG Distribution
Maximum Likelihood Estimation of TPPXG Distribution

Maximum likelihood estimation of the TPPXG distribution parameters.
Maximum Likelihood Estimation of TPXG Regression Coefficients

Estimation of log-link TPXG regression coefficients.
Probability Mass Function of the TPPXG Distribution

Probability Mass Function of the TPPXG Distribution
Random Numbers from the TPPGX Distribution

Random Numbers from the TPPGX Distribution
Cumulative Mass Function of the TPPXG Distribution

Cumulative Mass Function of the TPPXG Distribution
Cumulative Density Function of the TPXG Distribution

Cumulative Density Function of the TPXG Distribution
Random Numbers from the TPGX Distribution

Random Numbers from the TPGX Distribution
Probability Density Function of TPXG Distribution

Probability Density Function of TPPXG Distribution
Maximum Likelihood Estimation of TPPXG Regression Coefficients

Estimation of the TPPXG regression coefficients.