The disclosure relates to a vibration-type measuring device for measuring at least one process variable, in particular a mass flow rate, a density, a viscosity, a pressure or the like, in particular in a process line through which a medium can flow, which device comprises at least one measurement sensor which provides a measurement signal that can be influenced by the process variable, the measured value determined for the process variable by the measuring device being able to be determined from a functional relationship in conjunction with measurement parameters from the measurement signal, and the measurement parameters having a temperature-dependent cross-sensitivity with respect to the temperature distribution in the measuring device. The measuring device comprises at least one temperature sensor, by means of which the local temperature can be measured, and a temperature distribution field can then be calculated with electronic means using a temperature distribution theorem, and correction values for compensating for the temperature-dependent cross-sensitivities of the measurement parameters can be determined from the temperature field data.