2018
DOI: 10.1109/tcomm.2018.2798659
|View full text |Cite
|
Sign up to set email alerts
|

On Hypothesis Testing Against Conditional Independence With Multiple Decision Centers

Abstract: A distributed binary hypothesis testing problem is studied with one observer and two decision centers. The type-II error exponents region is derived for testing against independence when the observer communicates with the two decision centers over one common and two individual noise-free bit pipes.When there is only a common noise-free bit pipe, the type-II error exponents region is derived for testing against conditional independence. Finally, when the observer can communicate to the two decision centers over… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
44
0

Year Published

2018
2018
2021
2021

Publication Types

Select...
5
2
1

Relationship

5
3

Authors

Journals

citations
Cited by 35 publications
(44 citation statements)
references
References 24 publications
0
44
0
Order By: Relevance
“…The optimal exponent of type-II error probability for testing against independence is determined by Ahlswede and Csiszár in [ 1 ]. Several extensions of this basic problem are studied for a multi-observer setup [ 2 , 3 , 4 , 5 , 6 ], a multi-decision center setup [ 7 , 8 ] and a setup with security constraints [ 9 ]. The main idea of the achievable scheme in these works is typicality testing [ 10 , 11 ].…”
Section: Introductionmentioning
confidence: 99%
“…The optimal exponent of type-II error probability for testing against independence is determined by Ahlswede and Csiszár in [ 1 ]. Several extensions of this basic problem are studied for a multi-observer setup [ 2 , 3 , 4 , 5 , 6 ], a multi-decision center setup [ 7 , 8 ] and a setup with security constraints [ 9 ]. The main idea of the achievable scheme in these works is typicality testing [ 10 , 11 ].…”
Section: Introductionmentioning
confidence: 99%
“…Extensions to multiple terminals, multi-hop or interactive communication were presented in [3], [5], [6], [8], [9]. Moreover, [11] studies testing against conditional independence with two detectors that aim at maximizing the error exponent under the same hypothesis. The results in [11] report a tradeoff between the exponents achieved at the two detectors when the sensor sends a common message of positive rate R > 0 to both sensors.…”
Section: Introduction Consider the Multiterminal Hypothesis Testinmentioning
confidence: 99%
“…|X so that(11) and(12) are satisfied. Define the joint pmfs P |X and the nonnegative rate R such that for each m ∈ [1 : M]:…”
mentioning
confidence: 99%
“…A similar result for "testing against conditional independence" was derived in [4]. Recently, also more involved communication scenarios were considered, for example, with noisy communication channels [5], [6] or interaction between two terminals [7]- [9]. Multiple decision centers were considered in [10].…”
Section: Introductionmentioning
confidence: 84%