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Bounded Estimation in the Presence of Nuisance Parameters
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GRECO L, VENTURA, LAURA
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Handling nuisance parameters in systems monitoring
Dealing with nuisance parameters is an important issue in monitoring safety-critical complex systems and detecting events that affect their functioning. Several tools for solving statistical inference problems in the presence of nuisance parameters are described.
Basseville, Michèle, Nikiforov, Igor
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Optimal statistical fault detection with nuisance parameters
International audienceFault detection is addressed within a statistical framework. The goal of this paper is to propose an optimal statistical tool to detect a fault in a linear stochastic (dynamical) system with uncertainties (nuisance parameters or ...
Igor Nikiforov, Mitra Fouladirad
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On Line Change Detection with Nuisance Parameters
IFAC Proceedings Volumes, 2006Abstract Dealing with nuisance parameters is an important issue in on-line monitoring safety-critical complex systems and detecting events/changes that affect their functioning. A linear stochastic-dynamical system with deterministic nuisance parameters and additive changes is considered in the paper.
Fouladirad, Mitra, Nikiforov, Igor
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Variances Are Not Always Nuisance Parameters
Biometrics, 2003Summary In classical problems, e.g., comparing two populations, fitting a regression surface, etc., variability is a nuisance parameter. The term “nuisance parameter” is meant here in both the technical and the practical sense. However, there are many instances where understanding the structure of variability is just as central as understanding the ...
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The Elimination of Nuisance Parameters
2005We review the Bayesian approach to the problem of the elimination of nuisance parameters from a statistical model. Many Bayesian statisticians feel that the framework of Bayesian statistics is so clear and simple that the elimination of nuisance parameters should not be considered a problem: one has simply to compute the marginal posterior distribution
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A Page test with nuisance parameter estimation
IEEE Transactions on Information Theory, 1996Summary: The detection of the onset of a signal is a common and relevant problem in signal processing. The Page test [\textit{E. S. Page}, Biometrika 41, 100-115 (1954; Zbl 0056.38002)] using the loglikelihood ratio is optimal for minimizing the worst case average delay before detection \((\overline{D})\) while constraining the average time between ...
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Estimation strategies in the presence of nuisance parameters
Signal Processing, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eliminating nuisance parameters: two characterizations
Test, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berti, P., Fattorini, Lorenzo, Rigo, P.
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