The Generalized Odd Generalized Exponential Gompertz Distribution with Applications
Keywords:
Gompertz distribution, hazard function, moments, maximum likelihood estimation, odd generalized function, T-X family of distributionsAbstract
This study introduces the generalized odd generalized exponential Gompertz distribution. Some mathematical properties were derived, which increase the subject distribution's flexibility by allowing the model to be used for the analysis of a variety of lifetime data types with hazard rates that are monotonic, upside-down, and bathtub-shaped. The new model includes two additional parameters as a mixture of the odd exponential-G family of distributions. The observed Fisher's information matrix was constructed, and the model parameters were estimated using the maximum likelihood method. Through a numerical analysis using actual data, we demonstrate the effectiveness of the suggested model.
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