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Biomolecular interactions are central to biological processes and typically take place at nanometer scale distances. They often involve molecular motion which is known to affect the accuracy of the parameter estimates. Therefore, in this paper, we consider a case of two closely spaced molecules with planar trajectory and present a general expression of the Fisher information matrix in terms of their...
In estimation theory, it is known that prior knowledge of parameters can improve the Cramér-Rao lower bound (CRLB). In this paper, we study the influence of prior knowledge on the CRLB of the estimates of the parameters that describe the trajectory of a moving object (single molecule). Since the CRLB is obtained from the inverse of the Fisher information matrix, we present a general expression of...
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