Noise enhanced hypothesis-testing is studied according to the restricted Neyman-Pearson (NP) criterion. First, a problem formulation is presented for obtaining the optimal probability distribution of additive noise in the restricted NP framework. Then, sufficient conditions for improvability and nonimprovability are derived in order to specify if additive noise can or cannot improve detection p...

A procedure for finding the Neyman–Pearson optimum distributed sensor detectors for cases with statistically dependent observations is described. This is the first valid procedure we have seen for this case. This procedure is based on a theorem proven in this paper. These results clarify and correct a number of possibly misleading discussions in the existing literature. Cases with networks of s...

This letter presents two new change detection (CD) methods for synthetic aperture radar (SAR) image stacks based on the Neyman–Pearson criterion. The first proposed method uses data from wavelength–resolution images stack to obtain background statistics, which are used in a hypothesis test detect changes surveillance image. second considers <italic xmlns:mml="http://www.w3.org/1998/Math/MathML"...

We extend the classical Neyman-Pearson theory for testing composite hypotheses versus composite alternatives, using a convex duality approach as in Witting (1985). Results of Aubin & Ekeland (1984) from non-smooth convex analysis are employed, along with a theorem of Komll os (1967), in order to establish the existence of a max-min optimal test and to investigate its properties. The theory is i...

This paper proposes an algorithm for detection in multiple input multiple output (MIMO) communication systems. The algorithm combines minimum mean square error (MMSE) and minimum mean square error with ordered successive interference cancellation (MMSE-OSIC) detectors with detection error estimation. Neyman-Pearson criterion is used and the decision boundary is derived. It helps the implementat...

We point out that the Neyman-Pearson lemma applies to Bayes factors if we consider expected type-1 and type-2 error rates. That is, factor is test statistic maximises power for a fixed rate. For involving simple null hypothesis, rate just completely frequentist Lastly remark on connections between Karlin-Rubin theorem uniformly most powerful tests, factors. This provides motivations computing c...

Binary decision theory has been applied to the general interferometric problem. Optimal detection scheme|according to the Neyman-Pearson criterion|has been considered for di erent phase-enhanced states of radiation eld, and the corresponding bounds on minimum detectable phase shift has been evaluated. A general bound on interferometric precision has been also obtained in terms of photon number ...