{"product_id":"large-deviations-analysis-to-the-performance-of-distributed-detection-von-po-ning-chen","title":"Large Deviations Analysis to the Performance of Distributed Detection","description":"\u003cp\u003eThis book studies the performance of distributed detection systems  by means of large deviation techniques under two distinct models. In  the first model, the error performance is investigated as the number  of sensors tends to infinity by assuming that the i.i.d. sensor data  are quantized locally into m-ary messages and transmitted to the  fusion center for binary hypothesis testing. It is found that when the  second moment of the post-quantization log-likelihood ratio is  unbounded, the Neyman-Pearson error exponent becomes a  function of the test level; whereas the Bayes error exponent remains  unaffected. Also shown is that in Bayes testing, the equivalence of  absolutely optimal and best identical-quantizer systems is not  limited to error exponents but extends to the actual Bayes errors up  to a multiplicative constant. In the second model, the null and  alternative distributions become spatially correlated Gaussian,  differing in the mean. The issue considered includes whether  contiguous marginal likelihood ratio quantizers are optimal.  It is shown that this is not true in general, and a sufficient condition  is obtained under the case of a single observation per sensor.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843369992\"\u003e\u003ch3\u003eNeyman-Pearson and Bayes errors\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843369992","offer_id":39497082437725,"sku":"9783843369992","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/47923d5a-0acd-4452-956f-89bcea363ca4.jpg?v=1756273101","url":"https:\/\/shop.autorenwelt.de\/products\/large-deviations-analysis-to-the-performance-of-distributed-detection-von-po-ning-chen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}