The exponentiated Marshall-Olkin discrete uniform distribution with application in survival and hazard analysis on progesterone, estrogen and other various hormones

The E-MO-U distribution can be a useful characterization of life time data analysis of a given system. In application part we analyze the study of effect of 3-week progesterone administration on sleep architecture and multiple hormonal profiles was done. The protocol allowed us to explore the effects of the treatment both on normal sleep and on sleep disturbed by an iv catheter. The Exponentiated Marshall-Olkin Discrete Uniform Distribution with application in Survival and Hazard analysis was fitted to study the behavior of plasma progesterone, androsanediol glucuronide, estrodiol under placebo and progesterone treatment. This mathematical model is capable of modeling the behavior of various hormones, and found that this discrete uniform distribution provides the best fit to all the data.