On the optimal measurement of conversion gain in the presence of dark noise.

Working from a model of Gaussian pixel noise, we present and unify over 25 years of developments in the statistical analysis of the photon transfer conversion gain measurement. We then study a two-sample estimator of the conversion gain that accounts for the general case of non-negligible dark noise. The moments of this estimator are ill-defined (their integral representations diverge), and so we propose a method for assigning pseudomoments, which are shown to agree with actual sample moments under mild conditions.

Centralized inverse-Fano distribution for controlling conversion gain measurement accuracy of detector elements: erratum.

Corrections are given for errors in the presentation of equations in J. Opt. Soc.

Centralized inverse-Fano distribution for controlling conversion gain measurement accuracy of detector elements.

Statistical theory is applied to derive the centralized inverse-Fano distribution as a model for the probability distribution of the photon transfer conversion gain measurement for detector elements. This distribution is confirmed by experiment, thus supporting the theory and enhancing the credibility of the statistical model used. Analysis of the statistical distance between the derived functions and computationally fast approximate forms is carried out to determine the conditions when such approximations are useful.