TAWA FAITH ISHOLA

Lifetime distributions are fundamental tools in statistics and probability theory, widely used to model the time until an event of interest occurs, such as the failure of a system, the death of an organism, or the occurrence of a financial default. This study focuses on reviewing three key lifetime distributions: The Exponential, Weibull, and Gamma distributions with an emphasis on their mathematical formulations, properties, and practical applications. The Exponential distribution, characterized by its memoryless property and constant hazard rate, is simple but limited in its applicability to more complex scenarios. The Weibull distribution, with its flexibility in modeling increasing, decreasing, or constant hazard rates, is highly versatile and widely used in reliability engineering. The Gamma distribution, capable of modeling multi-phase processes, is particularly useful for analyzing skewed data and complex lifetime behaviors. This study contributes to the theoretical understanding of lifetime distributions and provides practical guidelines for their application in fields such as reliability engineering, survival analysis, and risk assessment. Recommendations for future research include exploring additional distributions, analyzing larger datasets, and applying advanced estimation methods to further enhance the accuracy and applicability of lifetime distribution models.