By Topic

On the achievability of the Cramer-Rao bound for Poisson distribution

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
R. Aharoni ; Dept. of Math., Technion-Israel Inst. of Technol., Haifa, Israel ; D. Lee

This correspondence examines the Cramer-Rao (CR) bound for data obtained in emission tomography. The likelihood function involved is the combined probability of independent Poisson random variables, the expectation of each being a linear function ciTλ of the parameter vector λ. We investigated the achievability of the CR bound in the interior and on the boundary of the domain of the problem. For the former, we found that the CR bound is achievable if and only if the ci vectors are obtained from a basis for RN, by repeating some vectors, multiplied by constant factors. A similar result holds for the boundary case. The practical implication of the achievability condition is that the CR bound is not attainable for typical emission tomographic systems

Published in:

IEEE Transactions on Information Theory  (Volume:47 ,  Issue: 5 )