Uniform-Distribution (UD) Based Time Intervals of GRC (Global Reserve Currency) Transition Year Predicted Narrowly as [2024, 2040] and Generally [2k00, 2k50]

The GRC (global reserve currency) plays a crucial role on the development of the global (i.e., world) economy and the evolution of the international situation. Over the past 500 years, it has undergone five transitions. Scientifically predicting the time of the next (i.e., coming) transition help us make corresponding preparations in advance. In this paper, we split the transition year into two parts: the thousand and hundred (TH) digits as well as the ten and unit (TU) digits. For the former, we employ linear regression for prediction, while, for the latter, we utilize the moment estimation and maximum likelihood estimation based on the uniform distribution’s characteristics to predict. We also verify that maximum likelihood estimation is more effective than moment estimation under unbiased situation. After theoretical derivation and experimental analysis, we finally predict the time interval for the occurrence of new GRC narrowly as [2024, 2040] and generally [2k00, 2k50], where k represents a specific century.