2010/07/08 by Cihan Tepedelenlioğlu, Tepedelenlioglu, Cihan, Mahesh K. Banavar +3
Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #Information Theory (cs.IT) #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1007.1483
openalex publication_date 2010/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A relationship between the Fisher information and the characteristic function is established with the help of two inequalities. A necessary and sufficient condition for equality is found. These results are used to determine the asymptotic efficiency of a distributed estimation algorithm that uses constant modulus transmissions over Gaussian multiple access channels. The loss in efficiency of the distributed estimation scheme relative to the centralized approach is quantified for different sensing noise distributions. It is shown that the distributed estimator does not incur an efficiency loss if and only if the sensing noise distribution is Gaussian.