NDLI: Statistical inference under multiterminal rate restrictions: a differential geometric approach

Content Provider	IEEE Xplore Digital Library
Author	Amari, S.-I. Han, T.S.
Copyright Year	1963
Abstract	A statistical inference problem for a two-terminal information source emitting mutually correlated signals X and Y is treated. Let sequences X/sup n/ and Y/sup n/ of n independent observations be encoded independently of each other into message sets M/sub X/ and M/sub Y/ at rates R/sub 1/ and R/sub 2/ per letter, respectively. This compression causes a loss of the statistical information available for testing hypotheses concerning X and Y. The loss of statistical information is evaluated as a function of the amounts R/sub 1/ and R/sub 2/ of the Shannon information. A complete solution is given in the case of asymptotically complete data compression, R/sub 1/, R/sub 2/ to 0 as n to infinity . It is shown that the differential geometry of the manifold of all probability distributions plays a fundamental role in this type of multiterminal problem connecting Shannon information and statistical information. A brief introduction to the dually coupled e-affine and m-affine connections together with e-flatness and m-flatness is given.<>
Sponsorship	IEEE Information Theory Society
Starting Page	217
Ending Page	227
Page Count	11
File Size	1064290
File Format	PDF
ISSN	00189448
Volume Number	35
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1989-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Probability distribution Testing Data compression Information geometry Joining processes Random variables Data communication Propagation losses Time series analysis Encoding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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