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Estimating a Signal with Noisy Nuisance Parameters
Biometrika, 1989We describe two models in which n records of a signal in white noise are taken. In the first model the signal parameters of interest do not change between records, but the amplitude varies in a random way. In the second model, the location is the random nuisance parameter. We describe an efficient estimator for the first model.
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Is it useful to know a nuisance parameter?
Signal Processing, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On ancillarityu and Fisher information in the presence of a nuisance parameter
Biometrika, 1984The author, ibid. 63, 277-284 (1976; Zbl 0339.62013), put forward two concepts of ancillarity in the presence of nuisance parameters. In this paper they are unified and extended with an extended concept of Fisher information.
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Estimation in the Presence of Nuisance Parameters
1987We consider MVUE and median unbiased estimation in the presence of nuisance parameters. For several different situations sufficient assumptions are formulated guaranteeing that conditionality and marginalization principles lead to optimal estimators. We also discuss some related questions such as the maximality of ancillary statistics, completeness in ...
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Interval Estimates in the Presence of Nuisance Parameters
Theory of Probability & Its Applications, 1966Bol'shev, L. N., Loginov, Eh. A.
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