The Beta Gompertz Geometric distribution:‎‎Mathematical ‎Properties ‎and ‎Applications

ýýIn this paperý, ýwe introduce a new five-parameter is called Beta-Gompertz Geometric (BGG) distributioný. ýýýýIt can have a decreasingý, ýincreasingý, ýand bathtub-shaped failure rate function depending on its parametersý. ýSome mathematical properties of the new distributioný, ýsuch as the density ýandý ýhazard rate ýfunctionsýý, ýmomentsý, ýmoment generating functioný, ý$Racute{e}nyi$ and Shannon entropyý, ýBonferroni and Lorenz curves and the mean deavations are providedý. ýWe discuss maximum likelihood estimation of the BGG parameters from one observed sampleý. ýAt the endý, ýin order to show the BGG distribution flexibilityý, ýan application using a real data set is ýpresented.ý