Geodesic
The Marshall – Olkin Teissier generated model for lifetime data
Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2022), pp. 46-65

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An accurate mathematical inference depends on the experimental design and the model adopted in the process. Thus, in this study Marshall – Olkin Teissier generated distribution was used to present the distribution of the true nature of lifetime data. The characteristics of the proposed model were examined in a closed form. The behaviour of the new model indicated that the hazard rate of the submodels could be $J$- and $U$-shaped, decreasing and increasing. Monte Carlo simulations were presented for different configurations of parameters with varying sizes. The results of the simulation and goodness-of-fit of the real lifetime data show that the Marshall – Olkin Teissier generated model is flexible, tractable and applicable when compared to some classical two parameters distributions.
Keywords: Gompertz distribution; Marshall – Olkin distribution; Teissier generated distributions; Teissier distribution. 
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     title = {The {Marshall} {\textendash} {Olkin} {Teissier} generated model for lifetime data},
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J. T. Eghwerido. The Marshall – Olkin Teissier generated model for lifetime data. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2022), pp. 46-65. http://geodesic.mathdoc.fr/item/BGUMI_2022_1_a5/