Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bayesian Semiparametric Jolly-Seber Model with Individual
  Heterogeneity: An Application to Migratory Mallards at Stopover   We propose a Bayesian hierarchical Jolly-Seber model that can account for
individual heterogeneity in departure and the dependence of arrival time on
covariates. Additionally, our model provides a semiparametric functional form
for modeling capture probabilities. The model is flexible and can be used to
estimate the stopover duration and stopover population size, which are key to
stopover duration analysis. From the modeling perspective, our model allows for
individual heterogeneity in departure due to a continuous intrinsic factor that
varies with time and individual. A stochastic process is considered to model
the change of this intrinsic factor over time. Moreover, our model links
extrinsic factors to capture probabilities and arrival time. Consequently, our
proposed model enables us to draw inference about the impacts of the intrinsic
factor on departure, and extrinsic factors on both capture outcome and arrival
time. Through the use of a semiparametric model for capture probabilities, we
allow the data to suggest the functional relationship between extrinsic factors
and capture probabilities rather than relying on an imposed parametric model.
By using data augmentation, we develop a well customized Markov chain Monte
Carlo algorithm that is free of tuning. We demonstrate the effectiveness of our
model through a motivating example of stopover duration analysis for mallards
(Anas platyrhynchos) studied during fall migration in Sweden.

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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: hep-th