Exploring the Properties, Simulation, and Applications of the Odd Burr XII Gompertz Distribution

This study proposes a new distribution that is more flexible than the corresponding four-parameter distributions called the Odd Burr XII Gompertz (OBXIIGo) distribution. Then various basic statistical properties of the OBXIIGo distribution are investigated and to estimate its parameters MLE is used. In addition, a Monte Carlo simulation study is conducted to evaluate the performance of parameter estimation using the MLE method, and the OBXIIGo distribution is applied to illustrate its uses on two real data sets, demonstrating its adaptability in various application fields. The results demonstrate the flexibility of the OBXIIGo distribution and its ability for auditing modeling and analysis.