Results 41 to 50 of about 40,132 (204)
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
A simple linear bayes' credibility insurance model
, 1997 In the minds of most statisticians there are (at least) two mutually exclusive approaches to data analysis. The "classical" or "frequentist" theory consist s of confidence intervals and hypothesis tests.
Abaza, Abmed A. Kambawey
core
Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
wiley +1 more source
The Bernstein-Von Mises Theorem in Semiparametric Competing Risks Models [PDF]
Semiparametric Bayesian models are nowadays a popular tool in survival analysis. An important area of research concerns the investigation of frequentist properties of these models.
Nils L. Hjort, Pierpaolo De Blasi
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Solving inverse problems with Bayes' theorem
, 2022 The goal of inverse problems is to find an unknown parameter based on noisy data. Such problems appear in a wide range of applications including geophysics, medicine, and chemistry. One method of solving them is known as the Bayesian approach.
Sprungk, Björn, Latz, Jonas
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Information Design for Early‐Stage Dose‐Finding Trials
Naval Research Logistics (NRL), EarlyView.ABSTRACT To enhance enrollment rates in early‐stage dose‐finding clinical trials, we propose an information design approach, where the clinical investigator (CI) commits to an information releasing mechanism (IRM) based on the treatment's uncertain efficacy and toxicity to encourage patients to participate in the trial.
Amin Khademi, Ningyuan Chen
wiley +1 more source
Oikos, EarlyView.Misinterpretation of p‐values, coupled with insufficient consideration of the prior plausibility of ecological hypotheses, leads to overconfident and often unreliable inference in ecological research. To address this issue, we present a methodological framework for p‐value calibration that reinterprets conventional p‐values through minimum Bayes ...
Rafael Dettogni Guariento +2 more
wiley +1 more source
Teaching Bayes' Theorem: Strength of Evidence As Predictive Accuracy
, 2018 Although teaching Bayes' theorem is popular, the standard approach---targeting posterior distributions of parameters---may be improved. We advocate teaching Bayes' theorem in a ratio form where the posterior beliefs relative to the prior beliefs equals ...
Richard D. Morey, Jeffrey N. Rouder
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A modified Bayes’ theorem for reliable conformity assessment in industrial metrology
, 2021 Numerous papers in the literature recommend the use of Bayes’ theorem to merge the available a priori knowledge about a measurand with the measurement result associated to the measurand itself. The obtained a posteriori value should be used in conformity
Ferrero, Alessandro +2 more
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Epistemic and aleatoric uncertainty quantification in weather and climate models
Quarterly Journal of the Royal Meteorological Society, EarlyView.Aleatoric and epistemic uncertainties over time on weather and climate time‐scales, estimated through ensembles that sample aleatoric and epistemic uncertainty using Bayesian neural networks for parameterisations in the Lorenz 1996 model. The spread shows the 16th and 84th percentiles.
Laura A. Mansfield +1 more
wiley +1 more source