On secure distributed hypothesis testing

Abstract : The distributed binary hypothesis testing problem with communication and security constraints is investigated. A legitimate statistician (referred to as Bob) is interested in detecting the joint probability distribution of two remotely located sources. To this end, Bob has access to analog and coded data where the later is observed at another node (referred to as Alice) and communicated over a public noise-less channel of finite rate. An eavesdropper (referred to as Eve) has access to the encoded bits. In this framework, we study the tradeoff between the maximum achievable error exponent at Bob, i.e., the minimum Type II error probability for a fixed Type I probability of error, the rate and the equivocation rate. We first derive an achievable rate-exponent-equivocation region. Then, we investigate the special case of testing against independence for which we provide the optimal rate-exponent-equivocation region. An application example to binary sources is also considered.
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https://hal.archives-ouvertes.fr/hal-01257621
Contributor : Pablo Piantanida <>
Submitted on : Sunday, January 17, 2016 - 11:00:14 PM
Last modification on : Thursday, April 26, 2018 - 4:11:43 PM

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Maggie Mhanna, Pablo Piantanida. On secure distributed hypothesis testing. IEEE International Symposium on Information Theory - (ISIT 2015), Jun 2015, Hong Kong, Hong Kong SAR China. ⟨10.1109/ISIT.2015.7282727⟩. ⟨hal-01257621⟩

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