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Survival or reliability analysis is one of the most significant advancements of statistics in the last quarter of the 20th century. This domain of statistics takes an important place in biomedical and industrial framework. In this paper, we propose a new baseline hazard function from extreme value theory. The newly suggested function is non-monotone and is named as a generalized extreme values baseline hazard function. We prove that this function satisfies hazard properties. A study of the characteristics of the function related to time is made. Conditions for applicability of the model are obtained.