Modeling the Evolution of Distributions: An Application to Major League Baseball
In this paper, we develop Bayesian techniques for modeling 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 modeling 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.
|Date of creation:||May 2001|
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- Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64, pages 242.
- 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.
- Kajal Lahiri, 2005. "Analysis of Panel Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(4), pages 1093-1095.
- Szymanski, Stefan, 2001. "Income Inequality, Competitive Balance and the Attractiveness of Team Sports: Some Evidence and a Natural Experiment from English Soccer," Economic Journal, Royal Economic Society, vol. 111(469), pages F69-84, February.
- 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.
- Kajal Lahiri & Jian Gao, 2001. "Bayesian Analysis of Nested Logit Model by Markov Chain Monte Carlo," Discussion Papers 01-14, University at Albany, SUNY, Department of Economics.
- Durlauf,S.N. & Quah,D.T., 1998.
"The new empirics of economic growth,"
3, Wisconsin Madison - Social Systems.
- Steven N. Durlauf & Danny T. Quah, 1998. "The New Empirics of Economic Growth," Working Papers 98-01-012, Santa Fe Institute.
- S Durlauf & Danny Quah, 1998. "The New Empirics of Economic Growth," CEP Discussion Papers dp0384, Centre for Economic Performance, LSE.
- Steven N. Durlauf & Danny T. Quah, 1998. "The New Empirics of Economic Growth," NBER Working Papers 6422, National Bureau of Economic Research, Inc.
- Filardo, Andrew J. & Gordon, Stephen F., 1998.
"Business cycle durations,"
Journal of Econometrics,
Elsevier, vol. 85(1), pages 99-123, July.
- McCulloch, Robert E. & Rossi, Peter E., 2000. "Reply to Nobile," Journal of Econometrics, Elsevier, vol. 99(2), pages 347-348, December.
- Danny Quah, 1992.
"Empirical Cross-Section Dynamics in Economic Growth,"
FMG Discussion Papers
dp154, Financial Markets Group.
- Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
- Danny Quah, 1992. "Empirical cross-section dynamics in economic growth," Discussion Paper / Institute for Empirical Macroeconomics 75, Federal Reserve Bank of Minneapolis.
- 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 F27-46, February.
- 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.
- Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
- 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.
- Nobile, Agostino, 2000. "Comment: Bayesian multinomial probit models with a normalization constraint," Journal of Econometrics, Elsevier, vol. 99(2), pages 335-345, December.
- Dale J. Poirier, 1995. "Intermediate Statistics and Econometrics: A Comparative Approach," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161494, March.
- Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
- John F. Geweke & Michael P. Keane, 1997. "Mixture of normals probit models," Staff Report 237, Federal Reserve Bank of Minneapolis.
- 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.
- Vrooman, John, 2000. "The Economics of American Sports Leagues," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 364-98, September.
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