The Error Exponent of Zero-Rate Multiterminal Hypothesis Testing for Sources with Common Information
Summary :
The multiterminal hypothesis testing problem with zero-rate constraint is considered. For this problem, an upper bound on the optimal error exponent is given by Shalaby and Papamarcou, provided that the positivity condition holds. Our contribution is to prove that Shalaby and Papamarcou's upper bound is valid under a weaker condition: (i) two remote observations have a common random variable in the sense of Gácks and Körner, and (ii) when the value of the common random variable is fixed, the conditional distribution of remaining random variables satisfies the positivity condition. Moreover, a generalization of the main result is also given.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.12 pp.2384-2392
- Publication Date
- 2015/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E98.A.2384
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Shannon Theory
Authors
Makoto UEDA
Wakayama University
Shigeaki KUZUOKA
Wakayama University
Keyword
Latest Issue
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Makoto UEDA, Shigeaki KUZUOKA, "The Error Exponent of Zero-Rate Multiterminal Hypothesis Testing for Sources with Common Information" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 12, pp. 2384-2392, December 2015, doi: 10.1587/transfun.E98.A.2384.
Abstract: The multiterminal hypothesis testing problem with zero-rate constraint is considered. For this problem, an upper bound on the optimal error exponent is given by Shalaby and Papamarcou, provided that the positivity condition holds. Our contribution is to prove that Shalaby and Papamarcou's upper bound is valid under a weaker condition: (i) two remote observations have a common random variable in the sense of Gácks and Körner, and (ii) when the value of the common random variable is fixed, the conditional distribution of remaining random variables satisfies the positivity condition. Moreover, a generalization of the main result is also given.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.2384/_p
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@ARTICLE{e98-a_12_2384,
author={Makoto UEDA, Shigeaki KUZUOKA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Error Exponent of Zero-Rate Multiterminal Hypothesis Testing for Sources with Common Information},
year={2015},
volume={E98-A},
number={12},
pages={2384-2392},
abstract={The multiterminal hypothesis testing problem with zero-rate constraint is considered. For this problem, an upper bound on the optimal error exponent is given by Shalaby and Papamarcou, provided that the positivity condition holds. Our contribution is to prove that Shalaby and Papamarcou's upper bound is valid under a weaker condition: (i) two remote observations have a common random variable in the sense of Gácks and Körner, and (ii) when the value of the common random variable is fixed, the conditional distribution of remaining random variables satisfies the positivity condition. Moreover, a generalization of the main result is also given.},
keywords={},
doi={10.1587/transfun.E98.A.2384},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - The Error Exponent of Zero-Rate Multiterminal Hypothesis Testing for Sources with Common Information
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2384
EP - 2392
AU - Makoto UEDA
AU - Shigeaki KUZUOKA
PY - 2015
DO - 10.1587/transfun.E98.A.2384
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2015
AB - The multiterminal hypothesis testing problem with zero-rate constraint is considered. For this problem, an upper bound on the optimal error exponent is given by Shalaby and Papamarcou, provided that the positivity condition holds. Our contribution is to prove that Shalaby and Papamarcou's upper bound is valid under a weaker condition: (i) two remote observations have a common random variable in the sense of Gácks and Körner, and (ii) when the value of the common random variable is fixed, the conditional distribution of remaining random variables satisfies the positivity condition. Moreover, a generalization of the main result is also given.
ER -
English
