The Cramér-Rao Bound for Poisson Distribution
نویسنده
چکیده
| The paper studies the Cram er-Rao (CR) bound for data obtained in emission tomography (ET). In ET the distribution of the data is the combined probability of independent Poisson distributed variables, the expectation of each being a linear function c T i of the vector of parameters. We investigate the achievability of the CR bound, in particular on the boundary of the natural domain of the problem. For the former, we found that the CR bound is achievable if and only if the vectors c is are obtained from a basis for R N , by repeating some vectors, multiplied by constant factors. A similar result holds for the boundary case.
منابع مشابه
The Cramér-rao Bound for Estimation of Continuous-time Arx Parameters from Irregularly Sampled Data
The Cramér-Rao bound for estimation of parameters in continuous-time ARX models from irregularly sampled data is computed. In the derivation, the Slepian-Bangs formula is used together with a state space framework, resulting in a closed form expression for the Cramér-Rao bound. Copyright c ©2005 IFAC
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