1. A method for analyzing a field-of-view of independently blinking objects, comprising the following steps: i) selecting a sample or an observation image comprised of objects from the class of optically signaling objects that stochastically and independently fluctuate; ii) acquiring a sequence of repeated optical images of the object as a function of time, producing an x, y, t image stack of pixels; iii) calculating at least one of: an autocorrelation function, an autocumulant function, a crosscorrelation function, or a crosscumulant function from the temporal fluctuations of selected pixels of the image stack to at least the second order for at least a chosen time lag or a plurality of chosen time lags in order to generate a superresolved and background-reduced image including pixels having an intensity value being the amplitude of the function for the at least one chosen time lag or a linear combination of amplitudes of the functions for different chosen time lags.