![]() Our results show that power-law distributions can also occur in survival data, as verified in other data types from natural and artificial systems, reinforcing the ubiquity of power-law distributions. This model encompasses data in the presence of censoring and long-term survivors, providing more accurate predictions than previous models. We consider all the 175 Roman emperors and propose a new power-law model with change points to predict the time-to-violent-death of the Roman emperors. ![]() In this paper, we study the underlying patterns associated with the reign of the Roman emperors by using statistical tools of survival data analysis. These conflicts produced patterns in the length of time that can be identified by statistical analysis. Indeed, most emperors died violently, from assassination, suicide or in battle. Although its political institutions proved both resilient and adaptable, allowing it to incorporate diverse populations, the Empire suffered from many conflicts. The Roman Empire shaped western civilization, and many Roman principles are embodied in modern institutions.
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