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      Competence Issue Ownership, Issue Positions and the Vote for the Greens and the Social Democrats

      1 , 1
      Swiss Political Science Review
      Wiley

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          Inference from Iterative Simulation Using Multiple Sequences

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            brms: An R Package for Bayesian Multilevel Models Using Stan

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              Stan: A Probabilistic Programming Language

              Stan is a probabilistic programming language for specifying statistical models. A Stan program imperatively defines a log probability function over parameters conditioned on specified data and constants. As of version 2.14.0, Stan provides full Bayesian inference for continuous-variable models through Markov chain Monte Carlo methods such as the No-U-Turn sampler, an adaptive form of Hamiltonian Monte Carlo sampling. Penalized maximum likelihood estimates are calculated using optimization methods such as the limited memory Broyden-Fletcher-Goldfarb-Shanno algorithm. Stan is also a platform for computing log densities and their gradients and Hessians, which can be used in alternative algorithms such as variational Bayes, expectation propagation, and marginal inference using approximate integration. To this end, Stan is set up so that the densities, gradients, and Hessians, along with intermediate quantities of the algorithm such as acceptance probabilities, are easily accessible. Stan can be called from the command line using the cmdstan package, through R using the rstan package, and through Python using the pystan package. All three interfaces support sampling and optimization-based inference with diagnostics and posterior analysis. rstan and pystan also provide access to log probabilities, gradients, Hessians, parameter transforms, and specialized plotting.
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                Author and article information

                Contributors
                (View ORCID Profile)
                (View ORCID Profile)
                Journal
                Swiss Political Science Review
                Swiss Political Sci Review
                Wiley
                1424-7755
                1662-6370
                June 2022
                March 18 2022
                June 2022
                : 28
                : 2
                : 230-253
                Affiliations
                [1 ]University of Geneva Geneva Switzerland
                Article
                10.1111/spsr.12509
                2ca885e9-563b-493b-b58d-ccee31b10bdb
                © 2022

                http://creativecommons.org/licenses/by/4.0/

                http://doi.wiley.com/10.1002/tdm_license_1.1

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