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On Bootstrapping the Likelihood Ratio Test Statistic for the Number of Components in a Normal Mixture

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  1. Sebastian Vollmer & Hajo Holzmann & Florian Ketterer & Stephan Klasen & David Canning, 2013. "The Emergence of Three Human Development Clubs," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-7, March.
  2. Fernández, D. & Arnold, R. & Pledger, S., 2016. "Mixture-based clustering for the ordered stereotype model," Computational Statistics & Data Analysis, Elsevier, vol. 93(C), pages 46-75.
  3. Marco Alfò & Giovanni Trovato, 2004. "Semiparametric Mixture Models for Multivariate Count Data, with Application," CEIS Research Paper 51, Tor Vergata University, CEIS.
  4. Allison, David B. & Gadbury, Gary L. & Heo, Moonseong & Fernandez, Jose R. & Lee, Cheol-Koo & Prolla, Tomas A. & Weindruch, Richard, 2002. "A mixture model approach for the analysis of microarray gene expression data," Computational Statistics & Data Analysis, Elsevier, vol. 39(1), pages 1-20, March.
  5. Miloslavsky, Maja & van der Laan, Mark J., 2003. "Fitting of mixtures with unspecified number of components using cross validation distance estimate," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 413-428, January.
  6. Nguyen, Hien D. & McLachlan, Geoffrey J., 2016. "Linear mixed models with marginally symmetric nonparametric random effects," Computational Statistics & Data Analysis, Elsevier, vol. 103(C), pages 151-169.
  7. Roberto Zelli & Maria Grazia Pittau, 2006. "Empirical evidence of income dynamics across EU regions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 605-628.
  8. Dinghai Xu & John Knight, 2011. "Continuous Empirical Characteristic Function Estimation of Mixtures of Normal Parameters," Econometric Reviews, Taylor & Francis Journals, vol. 30(1), pages 25-50.
  9. Fetene B. Tekle & Dereje W. Gudicha & Jeroen K. Vermunt, 2016. "Power analysis for the bootstrap likelihood ratio test for the number of classes in latent class models," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 10(2), pages 209-224, June.
  10. Bloom, David E & Canning, David & Sevilla, Jaypee, 2003. "Geography and Poverty Traps," Journal of Economic Growth, Springer, vol. 8(4), pages 355-378, December.
  11. Zacharias Psaradakis & Nicola Spagnolo, 2003. "On The Determination Of The Number Of Regimes In Markov‐Switching Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 237-252, March.
  12. Yuan Liu & Hongyun Liu, 2019. "Effects of Distance and Shape on the Estimation of the Piecewise Growth Mixture Model," Journal of Classification, Springer;The Classification Society, vol. 36(3), pages 659-677, October.
  13. Rainer Schlittgen, 2011. "A weighted least-squares approach to clusterwise regression," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(2), pages 205-217, June.
  14. Yau, Kelvin K. W. & Lee, Andy H. & Ng, Angus S. K., 2003. "Finite mixture regression model with random effects: application to neonatal hospital length of stay," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 359-366, January.
  15. Vaidehi Dixit & Ryan Martin, 2022. "Estimating a Mixing Distribution on the Sphere Using Predictive Recursion," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 596-626, November.
  16. Michel Wedel & Wayne DeSarbo, 1995. "A mixture likelihood approach for generalized linear models," Journal of Classification, Springer;The Classification Society, vol. 12(1), pages 21-55, March.
  17. Susko, Edward, 2003. "Weighted tests of homogeneity for testing the number of components in a mixture," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 367-378, January.
  18. Karlis, Dimitris & Xekalaki, Evdokia, 2003. "Choosing initial values for the EM algorithm for finite mixtures," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 577-590, January.
  19. Polymenis, Athanase, 2014. "A combined likelihood ratio/information ratio bootstrap technique for estimating the number of components in finite mixtures," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 107-115.
  20. Maciejowska, Katarzyna, 2013. "Assessing the number of components in a normal mixture: an alternative approach," MPRA Paper 50303, University Library of Munich, Germany.
  21. Daniel McNeish & Jeffrey R. Harring, 2017. "The Effect of Model Misspecification on Growth Mixture Model Class Enumeration," Journal of Classification, Springer;The Classification Society, vol. 34(2), pages 223-248, July.
  22. repec:jss:jstsof:04:i02 is not listed on IDEAS
  23. Christopher J. Rook, 2017. "Multivariate Density Modeling for Retirement Finance," Papers 1709.04070, arXiv.org.
  24. Park, Seong C. & Brorsen, B. Wade & Stoecker, Arthur L. & Hattey, Jeffory A., 2012. "Forage Response to Swine Effluent: A Cox Nonnested Test of Alternative Functional Forms Using a Fast Double Bootstrap," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 44(4), pages 593-606, November.
  25. Lo, Yungtai, 2011. "Bias from misspecification of the component variances in a normal mixture," Computational Statistics & Data Analysis, Elsevier, vol. 55(9), pages 2739-2747, September.
  26. Robert Kaplon, 2009. "Prior distributions for Bayes factors and latent class model selection," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 3, pages 87-94.
  27. Rongling Wu & Bailian Li & Samuel S. Wu & George Casella, 2001. "A Maximum Likelihood-Based Method for Mining Major Genes Affecting a Quantitative Character," Biometrics, The International Biometric Society, vol. 57(3), pages 764-768, September.
  28. Priebe, Carey E. & Marchette, David J., 2000. "Alternating kernel and mixture density estimates," Computational Statistics & Data Analysis, Elsevier, vol. 35(1), pages 43-65, November.
  29. Wong, Tony S.T. & Lam, Kwok Fai & Zhao, Victoria X., 2018. "Asymptotic null distribution of the modified likelihood ratio test for homogeneity in finite mixture models," Computational Statistics & Data Analysis, Elsevier, vol. 127(C), pages 248-257.
  30. Spiegel, Alisa & Slijper, Thomas & de Mey, Yann & Meuwissen, Miranda P.M. & Poortvliet, P. Marijn & Rommel, Jens & Hansson, Helena & Vigani, Mauro & Soriano, Bárbara & Wauters, Erwin & Appel, Franzisk, 2021. "Resilience capacities as perceived by European farmers," Agricultural Systems, Elsevier, vol. 193(C).
  31. Wong, Tony Siu Tung & Li, Wai Keung, 2014. "Test for homogeneity in gamma mixture models using likelihood ratio," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 127-137.
  32. Conor Dolan & Han Maas, 1998. "Fitting multivariage normal finite mixtures subject to structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 227-253, September.
  33. Marco Alfò & Cecilia Vitiello, 2003. "Finite mixtures approach to ecological regression," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 12(1), pages 93-108, February.
  34. Dinghai Xu, 2009. "The Applications of Mixtures of Normal Distributions in Empirical Finance: A Selected Survey," Working Papers 0904, University of Waterloo, Department of Economics, revised Sep 2009.
  35. Bettina Grün & Gertraud Malsiner-Walli & Sylvia Frühwirth-Schnatter, 2022. "How many data clusters are in the Galaxy data set?," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(2), pages 325-349, June.
  36. Gerhard Arminger & Petra Stein & Jörg Wittenberg, 1999. "Mixtures of conditional mean- and covariance-structure models," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 475-494, December.
  37. Cong, Lin & Yao, Weixin, 2021. "A Likelihood Ratio Test of a Homoscedastic Multivariate Normal Mixture Against a Heteroscedastic Multivariate Normal Mixture," Econometrics and Statistics, Elsevier, vol. 18(C), pages 79-88.
  38. KENNETH C. LAND & PATRICIA L. McCALL & DANIEL S. NAGIN, 1996. "A Comparison of Poisson, Negative Binomial, and Semiparametric Mixed Poisson Regression Models," Sociological Methods & Research, , vol. 24(4), pages 387-442, May.
  39. Hung-Chia Chen & James J. Chen, 2016. "Hybrid Mixture Model for Subpopulation Identification," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 8(1), pages 28-42, June.
  40. Maria Grazia Pittau, 2005. "Fitting Regional Income Distributions in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 135-161, April.
  41. Beard, T. Randolph & Caudill, Steven B. & Gropper, Daniel M., 1997. "The diffusion of production processes in the U.S. banking industry: A finite mixture approach," Journal of Banking & Finance, Elsevier, vol. 21(5), pages 721-740, May.
  42. Williams, John & Temme, Dirk & Hildebrandt, Lutz, 2002. "A Monte Carlo study of structural equation models for finite mixtures," SFB 373 Discussion Papers 2002,48, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  43. Goodwin, Barry K. & Roberts, Matthew C. & Coble, Keith H., 2000. "Measurement Of Price Risk In Revenue Insurance: Implications Of Distributional Assumptions," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 25(1), pages 1-20, July.
  44. Hunt, Lynette A. & Basford, Kaye E., 2016. "Comparing classical criteria for selecting intra-class correlated features in Multimix," Computational Statistics & Data Analysis, Elsevier, vol. 103(C), pages 350-366.
  45. Priebe, Carey E. & Miller, Michael I. & Tilak Ratnanather, J., 2006. "Segmenting magnetic resonance images via hierarchical mixture modelling," Computational Statistics & Data Analysis, Elsevier, vol. 50(2), pages 551-567, January.
  46. Lee, Jihui & Li, Gen & Wilson, James D., 2020. "Varying-coefficient models for dynamic networks," Computational Statistics & Data Analysis, Elsevier, vol. 152(C).
  47. Roy Levy & Gregory R. Hancock, 2011. "An Extended Model Comparison Framework for Covariance and Mean Structure Models, Accommodating Multiple Groups and Latent Mixtures," Sociological Methods & Research, , vol. 40(2), pages 256-278, May.
  48. Schlittgen, Rainer & Ringle, Christian M. & Sarstedt, Marko & Becker, Jan-Michael, 2016. "Segmentation of PLS path models by iterative reweighted regressions," Journal of Business Research, Elsevier, vol. 69(10), pages 4583-4592.
  49. Lo, Yungtai, 2005. "Likelihood ratio tests of the number of components in a normal mixture with unequal variances," Statistics & Probability Letters, Elsevier, vol. 71(3), pages 225-235, March.
  50. Adrian O’Hagan & Thomas Brendan Murphy & Luca Scrucca & Isobel Claire Gormley, 2019. "Investigation of parameter uncertainty in clustering using a Gaussian mixture model via jackknife, bootstrap and weighted likelihood bootstrap," Computational Statistics, Springer, vol. 34(4), pages 1779-1813, December.
  51. Melnykov, Volodymyr & Melnykov, Igor, 2012. "Initializing the EM algorithm in Gaussian mixture models with an unknown number of components," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1381-1395.
  52. Maria Grazia Pittau & Roberto Zelli & Riccardo Massari, 2016. "Evidence of Convergence Clubs Using Mixture Models," Econometric Reviews, Taylor & Francis Journals, vol. 35(7), pages 1317-1342, August.
  53. Geert Soete & Wayne DeSarbo, 1991. "A latent class probit model for analyzing pick any/N data," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 45-63, January.
  54. Pittau, Maria Grazia & Zelli, Roberto & Johnson, Paul, "undated". "Mixture Models and Convergence Clubs," Vassar College Department of Economics Working Paper Series 91, Vassar College Department of Economics.
  55. Zhangpeng Gao & Shahidur Rahman, 2006. "A New Direction of Fund Rating Based on the Finite Normal Mixture Model," Economic Growth Centre Working Paper Series 0603, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
  56. Maria Grazia Pittau & Roberto Zelli & Paul A. Johnson, 2010. "Mixture Models, Convergence Clubs, And Polarization," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(1), pages 102-122, March.
  57. Daniel Fernández & Richard Arnold & Shirley Pledger & Ivy Liu & Roy Costilla, 2019. "Finite mixture biclustering of discrete type multivariate data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(1), pages 117-143, March.
  58. Geert Soete & Willem Heiser, 1993. "A latent class unfolding model for analyzing single stimulus preference ratings," Psychometrika, Springer;The Psychometric Society, vol. 58(4), pages 545-565, December.
  59. Sanjeena Subedi & Antonio Punzo & Salvatore Ingrassia & Paul McNicholas, 2015. "Cluster-weighted $$t$$ t -factor analyzers for robust model-based clustering and dimension reduction," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(4), pages 623-649, November.
  60. Pledger, Shirley & Arnold, Richard, 2014. "Multivariate methods using mixtures: Correspondence analysis, scaling and pattern-detection," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 241-261.
  61. Richard P. Bagozzi & Utpal M. Dholakia, 2006. "Open Source Software User Communities: A Study of Participation in Linux User Groups," Management Science, INFORMS, vol. 52(7), pages 1099-1115, July.
  62. Soubeyrand, Samuel & Chadoeuf, Joel, 2007. "Residual-based specification of a hidden random field included in a hierarchical spatial model," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6404-6422, August.
  63. Inga Schnuerer & Sophie Baumann & Katja Haberecht & Beate Gaertner & Ulrich John & Jennis Freyer-Adam, 2015. "Patterns of health risk behaviors among job-seekers: a latent class analysis," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 60(1), pages 111-119, January.
  64. James Carpenter, 1998. "Assessing parameter uncertainty via bootstrap likelihood ratio confidence regions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(5), pages 639-649, June.
  65. Woo, Mi-Ja & Sriram, T.N., 2007. "Robust estimation of mixture complexity for count data," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4379-4392, May.
  66. Un Jung Lee & ShengLi Tzeng & Yu-Chuan Chen & James J Chen, 2017. "Development of Predictive Signatures for Treatment Selection in Precision Medicine," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 2(4), pages 83-88, August.
  67. David E. Bloom & David Canning & Jaypee Sevilla, 2002. "The Wealth of Nations: Fundamental Forces Versus Poverty Traps," NBER Working Papers 8714, National Bureau of Economic Research, Inc.
  68. Gray, H. L. & Baek, J. & Woodward, W. A. & Miller, J. & Fisk, M., 1996. "A bootstrap generalized likelihood ratio test in discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 22(2), pages 137-158, July.
  69. McLachlan, G. J. & Khan, N., 2004. "On a resampling approach for tests on the number of clusters with mixture model-based clustering of tissue samples," Journal of Multivariate Analysis, Elsevier, vol. 90(1), pages 90-105, July.
  70. Cecilia M. S. Ma, 2018. "A Latent Profile Analysis of Internet use and Its Association with Psychological Well-Being Outcomes among Hong Kong Chinese Early Adolescents," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 13(3), pages 727-743, September.
  71. Hennig, Christian, 2008. "Dissolution point and isolation robustness: Robustness criteria for general cluster analysis methods," Journal of Multivariate Analysis, Elsevier, vol. 99(6), pages 1154-1176, July.
  72. Kanchewa, Stella & Christensen, Kirsten M. & Poon, Cyanea Y.S. & Parnes, McKenna & Schwartz, Sarah, 2021. "More than fun and games? Understanding the role of school-based mentor-mentee match activity profiles in relationship processes and outcomes," Children and Youth Services Review, Elsevier, vol. 120(C).
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  74. Xiaoqiong Fang & Andy W. Chen & Derek S. Young, 2023. "Predictors with measurement error in mixtures of polynomial regressions," Computational Statistics, Springer, vol. 38(1), pages 373-401, March.
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