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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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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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Estimation strategies in the presence of nuisance parameters
Signal Processing, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Approximate Elimination of Nuisance Parameters by Conditioning
Biometrika, 1994Summary: 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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Noninformative Priors and Nuisance Parameters
Journal of the American Statistical Association, 1993Abstract We study the conflict between priors that are noninformative for a parameter of interest versus priors that are noninformative for the whole parameter. Our investigation leads us to maximize a functional that has two terms: an asymptotic approximation to a standardized expected Kullback-Leibler distance between the marginal prior and marginal ...
Bertrand Clarke, Larry Wasserman
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On Sufficiency and Ancillarity in the Presence of a Nuisance Parameter
Biometrika, 1980SUMMARY This paper discusses the definitions of ancillarity and sufficiency in the presence of a nuisance parameter given by Godambe (1976a). Illustrative examples are given and the relation to Fisher information discussed. In view of the properties of distribution functions which provide optimum estimating equations, Godambe (1976a) proposed ...
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Parametric bootstrapping with nuisance parameters
Statistics & Probability Letters, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young, GA, Lee, SMS
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Elimination of Nuisance Parameters with Reference Priors
Biometrika, 1993Summary: The problem of eliminating nuisance parameters is tackled from different points of view. Standard likelihood techniques, such as profile likelihood and its modifications, are compared with a Bayesian analysis based on reference priors. Examples are considered to illustrate what happens in multiparameter problems.
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On information and ancillarity in the presence of a nuisance parameter
Biometrika, 1983This paper discusses ancillarity, in the presence of a nuisance parameter. For exponential distribution families, some equivalent properties regarding ancillarity are found and discussed.
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