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On the Nuisance Parameter Elimination Principle in Hypothesis Testing [PDF]
EntropyThe Non-Informative Nuisance Parameter Principle concerns the problem of how inferences about a parameter of interest should be made in the presence of nuisance parameters. The principle is examined in the context of the hypothesis testing problem.
Andrés Felipe Flórez Rivera +3 more
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Conditional Inference with a Functional Nuisance Parameter [PDF]
SSRN Electronic Journal, 2014 This paper shows that the problem of testing hypotheses in moment condition models without any assumptions about identification may be considered as a problem of testing with an infinite-dimensional nuisance parameter. We introduce a sufficient statistic for this nuisance parameter and propose conditional tests.
Andrews, Isaiah, Mikusheva, Anna
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Hybrid Cramér-Rao Bound for Quantum Bayes Point Estimation with Nuisance Parameters [PDF]
EntropyWe develop a hybrid framework for quantum parameter estimation in the presence of nuisance parameters. In this scheme, the parameters of interest are treated as fixed non-random parameters while nuisance parameters are integrated out with respect to a ...
Jianchao Zhang, Jun Suzuki
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Geometry of Statistical Manifolds [PDF]
EntropyA statistical manifold M can be defined as a Riemannian manifold each of whose points is a probability distribution on the same support. In fact, statistical manifolds possess a richer geometric structure beyond the Fisher information metric defined on ...
Paul W. Vos
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Estimating Equations in the Presence of a Nuisance Parameter
Annals of Statistics, 1974 Estimating equations for a real parameter $\theta$ which indexes a family of densities $p(x, \theta)$ were considered in the note by Godambe (Ann. Math. Statist. 31 (1960) 1208-1211). An optimality property of the equation $\partial \log p/\partial \theta = 0$ among unbiased estimating equations was established.
Godambe, V. P., Thompson, M. E.
exaly +3 more sources
Sample Size Calculation: Inaccurate A Priori Assumptions for Nuisance Parameters Can Greatly Affect the Power of a Randomized Controlled Trial. [PDF]
PLoS ONE, 2015 We aimed to examine the extent to which inaccurate assumptions for nuisance parameters used to calculate sample size can affect the power of a randomized controlled trial (RCT).
Elsa Tavernier, Bruno Giraudeau
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Constraining single-field inflation with MegaMapper
Physics Letters B, 2023 We forecast the constraints on single-field inflation from the bispectrum of future high-redshift surveys such as MegaMapper. Considering non-local primordial non-Gaussianity (NLPNG), we find that current methods will yield constraints of order σ(fNLeq ...
Giovanni Cabass +4 more
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Spread, Estimators and Nuisance Parameters [PDF]
Bernoulli, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van den Heuvel, E.R., Klaassen, C.A.J.
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Cosmology with 6 parameters in the Stage-IV era: efficient marginalisation over nuisance parameters
The Open Journal of Astrophysics, 2023 The analysis of photometric large-scale structure data is often complicated by the need to account for many observational and astrophysical systematics.
Boryana Hadzhiyska +6 more
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Inference with the Median of a Prior
Entropy, 2006 We consider the problem of inference on one of the two parameters of a probability distribution when we have some prior information on a nuisance parameter.
Ali Mohammad-Djafari, Adel Mohammadpour
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