Estimating the Covariance Matrix of the Maximum Likelihood Estimator Under Linear Cluster-Weighted Models
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DOI: 10.1007/s00357-021-09390-9
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- Sanjeena Subedi & Antonio Punzo & Salvatore Ingrassia & Paul McNicholas, 2013. "Clustering and classification via cluster-weighted factor analyzers," 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. 7(1), pages 5-40, March.
- Antonio Punzo & Paul. D. McNicholas, 2017. "Robust Clustering in Regression Analysis via the Contaminated Gaussian Cluster-Weighted Model," Journal of Classification, Springer;The Classification Society, vol. 34(2), pages 249-293, July.
- Utkarsh J. Dang & Antonio Punzo & Paul D. McNicholas & Salvatore Ingrassia & Ryan P. Browne, 2017. "Multivariate Response and Parsimony for Gaussian Cluster-Weighted Models," Journal of Classification, Springer;The Classification Society, vol. 34(1), pages 4-34, April.
- Boldea, Otilia & Magnus, Jan R., 2009.
"Maximum Likelihood Estimation of the Multivariate Normal Mixture Model,"
Journal of the American Statistical Association, American Statistical Association, vol. 104(488), pages 1539-1549.
- Boldea, O. & Magnus, J.R., 2009. "Maximum likelihood estimation of the multivariate normal mixture model," Other publications TiSEM c5d9a58c-6bc2-4098-bfed-d, Tilburg University, School of Economics and Management.
- Boldea, Otilia & Magnus, Jan R., 2009. "Maximum Likelihood Estimation of the Multivariate Normal Mixture Model," MPRA Paper 23149, University Library of Munich, Germany.
- White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
- Ingrassia, Salvatore & Minotti, Simona C. & Punzo, Antonio, 2014. "Model-based clustering via linear cluster-weighted models," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 159-182.
- White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
- Schäfer Juliane & Strimmer Korbinian, 2005. "A Shrinkage Approach to Large-Scale Covariance Matrix Estimation and Implications for Functional Genomics," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 4(1), pages 1-32, November.
- Henningsen, Arne & Hamann, Jeff D., 2007. "systemfit: A Package for Estimating Systems of Simultaneous Equations in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 23(i04).
- White, Halbert, 1983. "Corrigendum [Maximum Likelihood Estimation of Misspecified Models]," Econometrica, Econometric Society, vol. 51(2), pages 513-513, March.
- Giuliano Galimberti & Lorenzo Nuzzi & Gabriele Soffritti, 2021. "Covariance matrix estimation of the maximum likelihood estimator in multivariate clusterwise linear regression," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(1), pages 235-268, March.
- Salvatore Ingrassia & Simona Minotti & Giorgio Vittadini, 2015.
"Erratum to: Local Statistical Modeling via a Cluster-Weighted Approach with Elliptical Distributions,"
Journal of Classification, Springer;The Classification Society, vol. 32(3), pages 542-543, October.
- Salvatore Ingrassia & Simona Minotti & Giorgio Vittadini, 2012. "Local Statistical Modeling via a Cluster-Weighted Approach with Elliptical Distributions," Journal of Classification, Springer;The Classification Society, vol. 29(3), pages 363-401, October.
- Roberto Cellini & Tiziana Cuccia, 2013.
"Museum and monument attendance and tourism flow: a time series analysis approach,"
Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3473-3482, August.
- Cellini, Roberto & Cuccia, Tiziana, 2009. "Museum and monument attendance and tourism flow: A time series analysis approach," MPRA Paper 18908, University Library of Munich, Germany.
- Salvatore Ingrassia & Antonio Punzo & Giorgio Vittadini & Simona Minotti, 2015.
"The Generalized Linear Mixed Cluster-Weighted Model,"
Journal of Classification, Springer;The Classification Society, vol. 32(1), pages 85-113, April.
- Salvatore Ingrassia & Antonio Punzo & Giorgio Vittadini & Simona Minotti, 2015. "Erratum to: The Generalized Linear Mixed Cluster-Weighted Model," Journal of Classification, Springer;The Classification Society, vol. 32(2), pages 327-355, July.
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- Diani, Cecilia & Galimberti, Giuliano & Soffritti, Gabriele, 2022. "Multivariate cluster-weighted models based on seemingly unrelated linear regression," Computational Statistics & Data Analysis, Elsevier, vol. 171(C).
- Gabriele Perrone & Gabriele Soffritti, 2024. "Parsimonious Seemingly Unrelated Contaminated Normal Cluster-Weighted Models," Journal of Classification, Springer;The Classification Society, vol. 41(3), pages 533-567, November.
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