Neyman-Pearson testing under interval probability by globally least favorable pairs: Reviewing Huber-Strassen theory and extending it to general interval probability
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Publication:1611809
DOI10.1016/S0378-3758(01)00208-7zbMath1010.62006OpenAlexW2199932850MaRDI QIDQ1611809
Publication date: 28 August 2002
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00208-7
hypothesis testingrobust statisticslower probabilityupper probabilityinterval-valued probabilityF-probabilityHuber-Strassen theoremminimax testspseudo-capacitygeneralized neighborhood modelspecial capacitytwo-monotone capacity
Parametric hypothesis testing (62F03) Robustness and adaptive procedures (parametric inference) (62F35) Foundations and philosophical topics in statistics (62A01) Foundations of probability theory (60A99)
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Cites Work
- Unstable collectives and envelopes of probability measures
- On the Huber-Strassen theorem
- A note on undominated lower probabilities
- The necessity of strongly subadditive capacities for Neyman-Pearson minimax tests
- Towards a frequentist theory of upper and lower probability
- Binary experiments, minimax tests and 2-alternating capacities
- A methodology for uncertainty in knowledge-based systems
- Construction of minimax tests for bounded families of probability densities
- Least favorable pairs for special capacities
- A robust asymptotic testing model
- Robust asymptotic statistics
- An overview of robust Bayesian analysis. (With discussion)
- Towards a unified theory of imprecise probability
- The theory of interval-probability as a unifying concept for uncertainty
- Implicative analysis for multivariate binary data using an imprecise Dirichlet model
- Minimax tests and the Neyman-Pearson lemma for capacities
- Theory of capacities
- A robust asymptotic testing model for special capacities
- On solutions of minimax test problems for special capacities
- On the construction of least favourable pairs of distributions
- On extension of the neyman-peabson lemma for capacities to dependent random variables
- Simple construction of least favourable pairs of distributions and of robust tests for prokhorov-neighbourhoods
- Me\fehler und Information
- The Existence of Probability Measures with Given Marginals
- A Robust Version of the Probability Ratio Test
- [https://portal.mardi4nfdi.de/wiki/Publication:5578654 Eine parameterfreie Theorie der ung�nstigsten Verteilungen f�r das Testen von Hypothesen]
- Compactness and sequential compactness in spaces of measures
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