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Handling nuisance parameters in systems monitoring

Proceedings of the 44th IEEE Conference on Decision and Control, 2006
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

Automatica, 2005
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 ...
Mitra Fouladirad, Igor Nikiforov
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On Line Change Detection with Nuisance Parameters

IFAC Proceedings Volumes, 2006
Abstract 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, 2003
Summary 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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A Page test with nuisance parameter estimation

IEEE Transactions on Information Theory, 1996
Summary: 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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The Elimination of Nuisance Parameters

2005
We 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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Estimation strategies in the presence of nuisance parameters

Signal Processing, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eliminating nuisance parameters: two characterizations

Test, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berti, P., Fattorini, Lorenzo, Rigo, P.
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Likelihoods that Eliminate Nuisance Parameters

2015
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On the Approximate Elimination of Nuisance Parameters by Conditioning

Biometrika, 1994
Summary: The general problem of inference about a scalar parameter of interest \(\theta\) in the presence of a nuisance parameter \(\lambda\) using conditional inference is considered. A condition is given under which inference based on the conditional distribution of \(\widehat{\theta}\), the maximum likelihood estimate of \(\theta\), given \(\widehat{
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