Useful Methods for Generating Lifetime Distributions

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The book delves into advanced statistical methods for modeling real-world phenomena in applied sciences like engineering and medicine. It focuses on the development of new lifetime distributions by incorporating additional shape parameters to baseline random variables, allowing for both monotonic and non-monotonic failure rates. Key approaches include utilizing the cumulative hazard function and its logarithm to create innovative probability models. Additionally, it outlines essential rules and conditions for proposing new statistical distributions, enhancing the analytical toolkit for researchers and practitioners.