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Following the basic idea of hierarchical Bayesian modeling, these components are formulated as parts of an overall generative model that is assumed to have generated the observed data x and y.
The second goal is to test which of the two models are most likely to have generated the observed data.
The temperature profiles differed markedly below 3 m in depth (Fig. 5a) and generated the observed differences in transport.
We first estimate the parameters of either model using numerical methods, and then test which model is most likely to have generated the observed data.
Chang's team used a statistical method, known as maximum likelihood, that identifies the series of changes most likely to have generated the observed range of modern proteins and extrapolates the most likely common ancestor--the archosaur protein.
Correlation analysis establish the relationships between heavy metal characteristics of water samples, which can reveal the sources and pathways of heavy metals that generated the observed water compositions (Azaza et al. 2011; Parizi and Samani 2013).
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See Hopenhayn (1992) [Section 5] for a general characterization of stochastic processes that can generate the observed evolutions of productivity.
But Jupiter is 5 times farther from the Sun than is Earth and sunlight is only 4percentt as strong there as on Earth, not enough to generate the observed tempests.
Two experiments examined the role of US recency in generating the observed CR trend.
Then, another linear operator, also subject to noise, generates the observed outputs from the true state.
The relative low levels of antioxidant vitamins provided by the nopal-based products cannot generate the observed effects by themselves.
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