Managing energy in a DC microgrid (DC mu G) during regular and emergency operating periods poses significant challenges. This paper introduces a resilience-oriented economic energy management scheme (ROEEMS) for a DC mu G incorporating renewable, hydrogen, and gas units. The primary objective is to minimize operation costs during normal periods and ensure power supply to critical loads during emergencies. The scheme considers input uncertainties associated with wind, hydrogen demand, and grid power prices, employing a probabilistic approach. The correlation between random variables is modelled using Copula theory, enhancing the accuracy of the overall uncertainty model. The study involves two distinct periods in the energy management of the DC mu G. During the normal period, coordination among all units, including the battery energy storage system (BESS), wind power generator (WPG), Fuel cell (FC), alkaline electrolyzer (AEL), Micro-turbine (MT), hydrogen storage system (HSS), and grid, is implemented. In contrast, the emergency period excludes the WPG and grid from the system, focusing solely on coordinating the remaining units to sustain critical loads. The effectiveness of the proposed approach has been tested on a six-bus test DC mu G system. Simulation results show that the energy supply to critical and moderate loads is maintained during emergency operation, and the daily operating cost is similar to 48.42% lower than that in economic energy management scheme (EEMS) in the event of an emergency when ROEEMS is applied.