1. A display device that includes a display in which a plurality of pixels that have light emitting elements that emit light in accordance with an amount of electric current are arranged in the form of a matrix, scanning lines that supply to the pixels, in a specified scan cycle, selection signals that select the pixels that will emit light, and data lines that supply video signals to the pixels, the display device comprising: circuitry configured to: store data that pertain to amounts of light emission that correspond to a plurality of positions in the display and that are accumulated based on the video signals for a plurality of frames; and perform control based on a peak value of the data that pertain to the amounts of light emission and are stored, such that maximum luminances of the video signals that are supplied to the display are restricted, wherein the data that pertain to the amounts of light emission that correspond to a plurality of positions in the display include a position of one of one of the pixels and a group of the pixels that includes a plurality of the pixels associated with an amount of light emission parameter, wherein, when an amount of light emission of the one of the one of the pixels and the group of the pixels is continuously greater than a specified amount of light emission, the amount of light emission parameter accumulated for the one of the one of the pixels and the group of pixels increases, and wherein a point, at which a coefficient begins to diminish, decreases as the amount of light emission parameter accumulated for the one of the one of the pixels and the group of pixels increases, the coefficient used to adjust a luminance of the one of the one of the pixels and the group of pixel.