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Modelling the evolution of distributions: an application to Major League baseball

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  • Gary Koop

Abstract

Summary. We develop Bayesian techniques for modelling the evolution of entire distributions over time and apply them to the distribution of team performance in Major League baseball for the period 1901–2000. Such models offer insight into many key issues (e.g. competitive balance) in a way that regression‐based models cannot. The models involve discretizing the distribution and then modelling the evolution of the bins over time through transition probability matrices. We allow for these matrices to vary over time and across teams. We find that, with one exception, the transition probability matrices (and, hence, competitive balance) have been remarkably constant across time and over teams. The one exception is the Yankees, who have outperformed all other teams.

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  • Gary Koop, 2004. "Modelling the evolution of distributions: an application to Major League baseball," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 167(4), pages 639-655, November.
    • Handle: RePEc:bla:jorssa:v:167:y:2004:i:4:p:639-655
    DOI: 10.1111/j.1467-985X.2004.A473.x
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    1. Paapaa, Richard & van Dijk, Herman K., 1998. "Distribution and mobility of wealth of nations," European Economic Review, Elsevier, vol. 42(7), pages 1269-1293, July.
    2. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    3. McCulloch, Robert E. & Polson, Nicholas G. & Rossi, Peter E., 2000. "A Bayesian analysis of the multinomial probit model with fully identified parameters," Journal of Econometrics, Elsevier, vol. 99(1), pages 173-193, November.
    4. Stefan Szymanski, 2010. "Income Inequality, Competitive Balance and the Attractiveness of Team Sports: Some Evidence and a Natural Experiment from English Soccer," Palgrave Macmillan Books, in: Football Economics and Policy, chapter 9, pages 182-201, Palgrave Macmillan.
    5. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64(3), pages 242-242.
    6. Kajal Lahiri, 2005. "Analysis of Panel Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(4), pages 1093-1095.
    7. John Geweke & Michael P. Keane, 1997. "Mixture of normals probit models," Staff Report 237, Federal Reserve Bank of Minneapolis.
    8. John Vrooman, 2000. "The Economics of American Sports Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 364-398, September.
    9. Dale J. Poirier, 1995. "Intermediate Statistics and Econometrics: A Comparative Approach," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161494, April.
    10. Durlauf, Steven N. & Quah, Danny T., 1999. "The new empirics of economic growth," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 4, pages 235-308, Elsevier.
    11. Eckard, E Woodrow, 2001. "Free Agency, Competitive Balance, and Diminishing Returns to Pennant Contention," Economic Inquiry, Western Economic Association International, vol. 39(3), pages 430-443, July.
    12. Koop, Gary & Poirier, Dale J., 1993. "Bayesian analysis of logit models using natural conjugate priors," Journal of Econometrics, Elsevier, vol. 56(3), pages 323-340, April.
    13. McCulloch, Robert E. & Rossi, Peter E., 2000. "Reply to Nobile," Journal of Econometrics, Elsevier, vol. 99(2), pages 347-348, December.
    14. Filardo, Andrew J. & Gordon, Stephen F., 1998. "Business cycle durations," Journal of Econometrics, Elsevier, vol. 85(1), pages 99-123, July.
    15. Nobile, Agostino, 2000. "Comment: Bayesian multinomial probit models with a normalization constraint," Journal of Econometrics, Elsevier, vol. 99(2), pages 335-345, December.
    16. McCulloch, Robert & Rossi, Peter E., 1994. "An exact likelihood analysis of the multinomial probit model," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 207-240.
    17. repec:bla:scotjp:v:47:y:2000:i:4:p:364-98 is not listed on IDEAS
    18. Lahiri, Kajal & Gao, Jian, 2002. "Bayesian analysis of nested logit model by Markov chain Monte Carlo," Journal of Econometrics, Elsevier, vol. 111(1), pages 103-133, November.
    19. Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
    20. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    21. Flynn, Michael A & Gilbert, Richard J, 2001. "The Analysis of Professional Sports Leagues as Joint Ventures," Economic Journal, Royal Economic Society, vol. 111(469), pages 27-46, February.
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    4. Martin Schmidt, 2006. "On the evolution of competition: an application of nonlinear tests," Applied Economics, Taylor & Francis Journals, vol. 38(1), pages 1-12.

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