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Articles

Testing for Unobserved Heterogeneity via k-means Clustering

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References

  • Arthur, D., and Vassilvitskii, S. (2007), “K-means++: The Advantages of Careful Seeding,” in Proceedings of the Eighteenth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA ’07, pp. 1027–1035, Philadelphia, PA, USA: Society for Industrial and Applied Mathematics.
  • Belloni A., Victor Chernozhukov, V., Chetverikov, D., and Kato, K. (2015), “Some New Asymptotic Theory for Least Squares Series: Pointwise and Uniform Results,” Journal of Econometrics, 186, 345–366. DOI: 10.1016/j.jeconom.2015.02.014.
  • Bester, C. A., and Hansen, C. B. (2016), “Grouped Effects Estimators in Fixed Effects Models,” Journal of Econometrics, 190, 197–208. DOI: 10.1016/j.jeconom.2012.08.022.
  • Bonhomme, S., and Manresa, E. (2015), “Grouped Patterns of Heterogeneity in Panel Data,” Econometrica, 83, 1147–1184. DOI: 10.3982/ECTA11319.
  • Bonhomme, S., Lamadon, T., and Manresa, E. (2021), “Discretizing Unobserved Heterogeneity,” Econometrica, forthcoming. DOI: 10.3982/ECTA15238.
  • Brown, S. J., and Goetzmann, W. N. (1997), “Mutual Fund Styles,” Journal of Financial Economics, 43, 373–399. DOI: 10.1016/S0304-405X(96)00898-7.
  • Carhart, M. M. (1997), “On Persistence in Mutual Fund Performance,” Journal of Finance, 52, 57–82. DOI: 10.1111/j.1540-6261.1997.tb03808.x.
  • Chernozhukov, V., Lee, S., and Rosen, A. M. (2013), “Intersection Bounds: Estimation and Inference, Econometrica, 81, 667–737.
  • Diebold, F. X., and Mariano, R. S. (1995), “Comparing Predictive Accuracy,” Journal of Business & Economic Statistics, 13, 253–263.
  • Eisen, M. B., Spellman, P. T., Brown, P. O., and Botstein, D. (1998), “Cluster Analysis and Display of Genome-Wide Expression Patterns,” Proceedings of the National Academy Science, 95, 14863–14868. DOI: 10.1073/pnas.95.25.14863.
  • Fraley, C., and Raftery, A. E. (2002), “Model-Based Clustering, Discriminant Analysis, and Density Estimation,” Journal of the American Statistical Association, 97, 611–631. DOI: 10.1198/016214502760047131.
  • Francis, N., Owyang, M. T., and Savascin, Ö. (2017), “An Endogenously Clustered Factor Approach to International Business Cycles,” Journal of Applied Econometrics, 32, 1261–1276. DOI: 10.1002/jae.2577.
  • Fu, W., and Perry, P. O. (2017), “Estimating the Number of Clusters Using Cross-Validation,” working paper, Stern School of Business, New York University.
  • García-Escudero, L. A., and Gordaliza, A. (1999), “Robustness Properties of k means and Trimed k Means,” Journal of the American Statistical Association, 94, 956–969.
  • Hansen, C. B. (2007), “Asymptotic Properties of a Robust Variance Matrix Estimator for Panel Data When T is Large,” Journal of Econometrics, 141, 597–620. DOI: 10.1016/j.jeconom.2006.10.009.
  • Li, J., and Liao, Z. (2020), “Uniform Nonparametric Inference for Time Series,” Journal of Econometrics, 219, 38–51. DOI: 10.1016/j.jeconom.2019.09.011.
  • Liu, Y., Hayes, D. N., Nobel, A., and Marron, J. S. (2008), “Statistical Significance of Clustering for High-Dimension, Low-Sample Size Data,” Journal of the American Statistical Association, 103, 1281–1293. DOI: 10.1198/016214508000000454.
  • Maitra, R., Melnykov, V., and Lahiri, S. N. (2012), “Bootstrapping for Significance of Compact Clusters in Multidimensional Datasets,” Journal of the American Statistical Association, 107, 378–392. DOI: 10.1080/01621459.2011.646935.
  • Ng, A. Y., Jordan, M. I., and Weiss, Y. (2002), “On Spectral Clustering: Analysis and an Algorithm,” in Advances in Neural Information Processing Systems, pp. 849–856.
  • Patton, A. J., and Weller, B. M. (2019), “What You See is not What You Get: The Costs of Trading Market Anomalies,” Journal of Financial Economics. DOI: 10.1016/j.jfineco.2020.02.012.
  • Pollard, D. (1981), Strong Consistency of k-Means Clustering,” Annals of Statistics, 9, 135–140.
  • Pollard, D. (1982), “A Central Limit Theorem for k-means Clustering,” Annals of Probability, 10, 919–926.
  • Ray, S., and Turi, R. H. (1999), “Determination of Number of Clusters in k-Means Clustering and Application in Colour Image Segmentation,” in Proceedings of the 4th International Conference on Advances in Pattern Recognition and Digital Techniques, pp. 137–143.
  • Steinbach, M., Karypis, G., and Kumar, V. (2000), “A Comparison of Document Clustering Techniques,” in KDD workshop on Text mining, 400, 525–526.
  • Sugar, C. A., and James, G. M. (2003), “Finding the Number of Clusters in a Dataset,” Journal of the American Statistical Association, 98, 750–763. DOI: 10.1198/016214503000000666.
  • Tibshirani, R., Walther, G., and Hastie, T. J. (2003), “Estimating the Number of Clusters in a Dataset via the Gap Statistic,” Journal of the Royal Statistical Society, Series B, 63, 411–423. DOI: 10.1111/1467-9868.00293.
  • Tibshirani, R., and Walther, G. (2005), “Cluster Validation by Prediction Strength,” Journal of Computational and Graphic Statistics, 14, 511–528. DOI: 10.1198/106186005X59243.
  • Wang, J. (2010), “Consistent Selection of the Number of Clusters via Crossvalidation,” Biometrika, 97, 893–904. DOI: 10.1093/biomet/asq061.
  • West, K. D. (1996), “Asymptotic Inference about Predictive Ability,” Econometrica, 64, 1067–1084. DOI: 10.2307/2171956.
  • White, H. (2001), Asymptotic Theory for Econometricians (2nd ed.), San Diego, CA: Academic Press.
  • Witten, D. M., and Tibshirani, R. (2010), “A Framework for Feature Selection in Clustering,” Journal of the American Statistical Association, 105, 713–726.

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