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Robustness of decentralized tests with ϵ-contamination prior

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2 Author(s)
C. H. Gowda ; Dept. of Electr. Eng., Southern Illinois Univ., Carbondale, IL, USA ; R. Viswanathan

We consider a decentralized detection problem where the prior density is not completely known, but is assumed to belong to an ε-contamination class. The expressions for the infimum and the supremum of the posterior probability that the parameter under question is in a given region, as the prior varies over the ε-contamination class, are derived. Numerical results are obtained for a specific case of an exponentially distributed observation and an exponentially distributed nominal prior. Asymptotic (as number of sensors tends to a large value) results are also obtained. The results illustrate the degree of robustness achieved with quantized observations as compared to unquantized observations

Published in:

IEEE Transactions on Information Theory  (Volume:41 ,  Issue: 4 )