Title :
Distributed Estimation; Three Theorems
Author :
Zia, Amin ; Reilly, James P. ; Shirani, Shahram
Author_Institution :
McMaster Univ., Hamilton
Abstract :
In distributed coding of two correlated discrete sources, the objective is to reconstruct the sources´ symbols at a common decoder. In contrast, in distributed estimation the main goal of coding is to protect the relevant information about the source parameters of interest. Thus it is useful to determine the rates under which the distributed estimator can achieve the same accuracy as it can in local estimation. In this paper we show that for fixed parameters, the rates in the Slepian-Wolf region is not only sufficient but also necessary for efficient estimation. The simple proof based on the method of types and large deviation theory leads to derivation of a lower-bound on the region of rates for a large class of bivariate sources.
Keywords :
channel coding; source coding; Slepian-Wolf region; bivariate sources; channel coding; correlated discrete sources; distributed coding; distributed estimation; source symbol resconstruction; Communication channels; Decoding; Estimation theory; Lakes; Parameter estimation; Probability distribution; Protection; Source coding; Statistical distributions; Sufficient conditions;
Conference_Titel :
Information Theory Workshop, 2007. ITW '07. IEEE
Conference_Location :
Tahoe City, CA
Print_ISBN :
1-4244-1563-2
Electronic_ISBN :
1-4244-1564-0
DOI :
10.1109/ITW.2007.4313128