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ULTIMATE RESOLUTION IN THE FRAMEWORK OF PARAMETER ESTIMATION

This paper describes two possible points of view on twoobject resolution in the context of model-fitting theory. Thereby, it is stated that the precision and the accuracy with which the locations of the objects can be estimated will determine the attainable resolution. The first approach describes the probability of resolution, that is the probability that the estimated locations will be distinct. The second leads to the maximally attainable precision. For both approaches, the special case of gaussian peaks is further investigated. It is shown that resolution is no longer possible for closely located peaks.