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In this model, a hierarchical structure is imposed on the prior haplotype frequency distributions to capture the similarities among modern-day haplotypes attributable to their common ancestry.
The proposed model generalizes the Bayesian dense deformable template model, a hierarchical model in which the template is the function to be estimated and the deformation is a nuisance, assumed to be random with a known prior distribution.
Including a random effect for instructor makes the logistic regression model a hierarchical model as it clusters students together that shared an instructor.
The most widespread model is the Public Key Infrastructure (PKI) model, a hierarchical model based on predetermined roots of trust and strictly vertical relationships (certificates) from Certification Authorities (CAs) to individuals.
Including a random effect for institution in the instructor analysis makes the logistic regression model a hierarchical model as it clusters instructors together that are at the same institution.
To give the generative model a hierarchical structure, we placed a second Lorenz attractor, whose dynamics were an order of magnitude slower, over the first (seconds as opposed to 100 ms or so); such that the states of the slower attractor change the manifold of the fast attractor.
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This approach expands the van Genuchten model to a hierarchical modeling framework.
Tebaldi, C. & Sansó, B. Joint projections of temperature and precipitation change from multiple climate models: A hierarchical Bayesian approach.
The models discussed in this paper include substitution models, Sturmian models, a hierarchical model, the prime model, and a class of moderately sparse potentials.
Morey extended Rouder et al. (2008) nonhierarchical model to a hierarchical Bayesian model that mitigates the issues mentioned above, providing efficient, stable estimates of capacity.
We leverage the individual-level game-theoretic model as a generative behavior model in a hierarchical Bayesian framework.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com