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1

O, Berger James, ed. Bayesian analysis. Amsterdam: North-Holland, 1994.

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2

Insua, David Ríos, and Fabrizio Ruggeri, eds. Robust Bayesian Analysis. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1306-2.

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Ibrahim, Joseph G., Ming-Hui Chen, and Debajyoti Sinha. Bayesian Survival Analysis. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3447-8.

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4

A, Waller Ray, ed. Bayesian reliability analysis. Malabar, Fla: R.E. Krieger Pub. Co., 1991.

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5

Andrew, Gelman, ed. Bayesian data analysis. Boca Raton, FL: Chapman & Hall/CRC, 2000.

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6

Andrew, Gelman, ed. Bayesian data analysis. 2nd ed. Boca Raton, Fla: Chapman & Hall/CRC, 2004.

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7

1961-, Chen Ming-Hui, and Sinha Debajyoti, eds. Bayesian survival analysis. New York: Springer, 2001.

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8

Andrew, Gelman, ed. Bayesian data analysis. London: Chapman & Hall, 1995.

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9

Müller, Peter, Fernando Andres Quintana, Alejandro Jara, and Tim Hanson. Bayesian Nonparametric Data Analysis. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18968-0.

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10

Mashhoudy, Houshang. Bayesian reliability growth analysis. [s.l.]: typescript, 1985.

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11

Thompson, John. Bayesian analysis with Stata. College Station, Texas: Stata Press, 2014.

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12

Box, George E. P., and George C. Tiao. Bayesian Inference in Statistical Analysis. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1992. http://dx.doi.org/10.1002/9781118033197.

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13

Box, George E. P. Bayesian inference in statistical analysis. New York: Wiley, 1992.

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14

1950-, French Simon, and Smith Jim Q, eds. The practice of Bayesian analysis. London: Arnold, 1997.

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15

1977-, King Ruth, ed. Bayesian analysis for population ecology. Boca Raton: Chapman & Hall/CRC, 2010.

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16

Routis, J. Bayesian analysis of ARMA models. Manchester: UMIST, 1997.

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17

Carlin, Bradley P. Bayesian methods for data analysis. 3rd ed. Boca Raton: CRC Press, 2009.

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18

Bagchi, Parthasarathy. Bayesian analysis of directional data. Toronto: [s.n.], 1987.

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19

Carlin, Bradley P. Bayesian methods for data analysis. 3rd ed. Boca Raton: CRC Press, 2009.

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20

Carlin, Bradley P. Bayesian methods for data analysis. 3rd ed. Boca Raton: Chapman & Hall/CRC, 2008.

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21

Crosse, Joanna E. Bayesian analysis of agent opinion. [s.l.]: typescript, 1991.

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22

1977-, King Ruth, ed. Bayesian analysis for population ecology. Boca Raton: Chapman & Hall/CRC, 2010.

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23

Research Institute for Advanced Computer Science (U.S.), ed. Bayesian learning. [Moffett Field, Calif.]: Research Institute for Advanced Computer Science, NASA Ames Research Center, 1989.

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24

Martin, Andrew D. Bayesian Analysis. Edited by Janet M. Box-Steffensmeier, Henry E. Brady, and David Collier. Oxford University Press, 2009. http://dx.doi.org/10.1093/oxfordhb/9780199286546.003.0021.

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This article surveys modern Bayesian methods of estimating statistical models. It first provides an introduction to the Bayesian approach for statistical inference, contrasting it with more conventional approaches. It then explains the Monte Carlo principle and reviews commonly used Markov Chain Monte Carlo (MCMC) methods. This is followed by a practical justification for the use of Bayesian methods in the social sciences, and a number of examples from the literature where Bayesian methods have proven useful are shown. The article finally provides a review of modern software for Bayesian inference, and a discussion of the future of Bayesian methods in political science. One area ripe for research is the use of prior information in statistical analyses. Mixture models and those with discrete parameters (such as change point models in the time-series context) are completely underutilized in political science.
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25

Farrow, Malcolm. Bayesian Analysis. John Wiley & Sons Inc, 2007.

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26

Gelman, Andrew, John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari, and Donald B. Rubin. Bayesian Data Analysis. Chapman and Hall/CRC, 2013. http://dx.doi.org/10.1201/b16018.

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27

Gelman, Andrew, John B. Carlin, Hal S. Stern, and Donald B. Rubin. Bayesian Data Analysis. Chapman and Hall/CRC, 1995. http://dx.doi.org/10.1201/9780429258411.

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28

Gelman, Andrew, John B. Carlin, Hal S. Stern, and Donald B. Rubin. Bayesian Data Analysis. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9780429258480.

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29

Bayesian Data Analysis. Routledge, 1995. http://dx.doi.org/10.4324/9780203491287.

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30

Ibrahim, Joseph G., Ming-Hui Chen, and Debajyoti Sinha. Bayesian Survival Analysis. Springer, 2004.

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31

Gelman, Andrew. Bayesian Data Analysis. Taylor & Francis Group, 2013.

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32

Gelman, Andrew. Bayesian Data Analysis. Taylor & Francis Group, 1995.

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33

Bayesian Survival Analysis. Springer, 2010.

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34

Ibrahim, Joseph G., Ming-Hui Chen, and Debajyoti Sinha. Bayesian Survival Analysis. Springer London, Limited, 2013.

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35

Gelman, Andrew. Bayesian Data Analysis. Taylor & Francis Group, 2003.

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36

Robust Bayesian Analysis. Springer London, Limited, 2012.

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37

Gelman, Andrew. Bayesian Data Analysis. Chapman & Hall/CRC, 1995.

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38

Robust Bayesian Analysis. Island Press, 2000.

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39

Gelman, Andrew. Bayesian Data Analysis. Taylor & Francis Group, 2013.

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40

Gelman, Andrew. Bayesian Data Analysis. Taylor & Francis Group, 2013.

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41

Gelman, Andrew. Bayesian Data Analysis. 1995.

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42

Doing Bayesian Data Analysis. Elsevier, 2015. http://dx.doi.org/10.1016/c2012-0-00477-2.

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43

Woodward, Phil. Bayesian Analysis Made Simple. Chapman and Hall/CRC, 2016. http://dx.doi.org/10.1201/b11235.

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44

Bayesian Nonparametric Data Analysis. Springer, 2015.

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45

Jara, Alejandro, Peter Müller, Tim Hanson, and Fernando Andrés Quintana. Bayesian Nonparametric Data Analysis. Springer International Publishing AG, 2016.

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46

Jara, Alejandro, Peter Müller, Tim Hanson, and Fernando Andrés Quintana. Bayesian Nonparametric Data Analysis. Springer London, Limited, 2015.

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47

Woodward, Phillip. Bayesian Analysis Made Simple. Taylor & Francis Group, 2020.

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48

Bayesian Analysis with Python. Packt Publishing, 2016.

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49

Doing Bayesian Data Analysis. Academic Press, 2010.

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50

Doing Bayesian Data Analysis. Academic Press, 2015.

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