Hybrid Cramér-Rao Bound for Quantum Bayes Point Estimation with Nuisance Parameters [PDF]
We 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
doaj +4 more sources
Sample Size Calculation: Inaccurate A Priori Assumptions for Nuisance Parameters Can Greatly Affect the Power of a Randomized Controlled Trial. [PDF]
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
doaj +3 more sources
On the Nuisance Parameter Elimination Principle in Hypothesis Testing [PDF]
The 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
doaj +2 more sources
XENON100 exclusion limit without considering
In 2011, the XENON100 experiment has set unprecedented constraints on dark matter-nucleon interactions, excluding dark matter candidates with masses down to 6 GeV if the corresponding cross section is larger than 10^{-39} cm^2.
Jonathan H. Davis +4 more
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Estimating Nuisance Parameters in Inverse Problems [PDF]
Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows efficient optimization strategies - a well known example is variable projection,
Aleksandr Y Aravkin +17 more
core +3 more sources
Projected likelihood contrasts for testing homogeneity in finite mixture models with nuisance parameters [PDF]
This paper develops a test for homogeneity in finite mixture models where the mixing proportions are known a priori (taken to be 0.5) and a common nuisance parameter is present. Statistical tests based on the notion of Projected Likelihood Contrasts (PLC)
Debapriya Sengupta, Rahul Mazumder
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Bayesian Discrepancy Measure: Higher-Order and Skewed Approximations [PDF]
The aim of this paper is to discuss both higher-order asymptotic expansions and skewed approximations for the Bayesian discrepancy measure used in testing precise statistical hypotheses.
Elena Bortolato +3 more
doaj +2 more sources
Geometry of Statistical Manifolds [PDF]
A 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
doaj +2 more sources
Limits and Confidence Intervals in the Presence of Nuisance Parameters [PDF]
We study the frequentist properties of confidence intervals computed by the method known to statisticians as the Profile Likelihood. It is seen that the coverage of these intervals is surprisingly good over a wide range of possible parameter values for ...
Angel M. López +14 more
core +5 more sources
Eliminating nuisance parameters: two characterizations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrizia Berti +2 more
openalex +6 more sources

