Local Statistical Modeling via a Cluster-Weighted Approach with Elliptical Distributions
Abstract Cluster-weighted modeling (CWM) is a mixture approach to modeling the joint probability of data coming from a heterogeneous population. Under Gaussian assumptions, we investigate statistical properties of CWM from both theoretical and numerical point of view; in particular, we show that Gau...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ingrassia, Salvatore [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of classification - Springer-Verlag, 1984, 29(2012), 3 vom: 23. Aug., Seite 363-401 |
|---|---|
| Übergeordnetes Werk: |
volume:29 ; year:2012 ; number:3 ; day:23 ; month:08 ; pages:363-401 |
| Links: |
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| DOI / URN: |
10.1007/s00357-012-9114-3 |
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Abstract Cluster-weighted modeling (CWM) is a mixture approach to modeling the joint probability of data coming from a heterogeneous population. Under Gaussian assumptions, we investigate statistical properties of CWM from both theoretical and numerical point of view; in particular, we show that Gaussian CWM includes mixtures of distributions and mixtures of regressions as special cases. Further, we introduce CWM based on Student-t distributions, which provides a more robust fit for groups of observations with longer than normal tails or noise data. Theoretical results are illustrated using some empirical studies, considering both simulated and real data. Some generalizations of such models are also outlined. © Springer Science+Business Media, LLC 2012 |
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Abstract Cluster-weighted modeling (CWM) is a mixture approach to modeling the joint probability of data coming from a heterogeneous population. Under Gaussian assumptions, we investigate statistical properties of CWM from both theoretical and numerical point of view; in particular, we show that Gaussian CWM includes mixtures of distributions and mixtures of regressions as special cases. Further, we introduce CWM based on Student-t distributions, which provides a more robust fit for groups of observations with longer than normal tails or noise data. Theoretical results are illustrated using some empirical studies, considering both simulated and real data. Some generalizations of such models are also outlined. © Springer Science+Business Media, LLC 2012 |
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Abstract Cluster-weighted modeling (CWM) is a mixture approach to modeling the joint probability of data coming from a heterogeneous population. Under Gaussian assumptions, we investigate statistical properties of CWM from both theoretical and numerical point of view; in particular, we show that Gaussian CWM includes mixtures of distributions and mixtures of regressions as special cases. Further, we introduce CWM based on Student-t distributions, which provides a more robust fit for groups of observations with longer than normal tails or noise data. Theoretical results are illustrated using some empirical studies, considering both simulated and real data. Some generalizations of such models are also outlined. © Springer Science+Business Media, LLC 2012 |
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Local Statistical Modeling via a Cluster-Weighted Approach with Elliptical Distributions |
| url |
https://doi.org/10.1007/s00357-012-9114-3 |
| remote_bool |
false |
| author2 |
Minotti, Simona C. Vittadini, Giorgio |
| author2Str |
Minotti, Simona C. Vittadini, Giorgio |
| ppnlink |
129337323 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s00357-012-9114-3 |
| up_date |
2024-07-03T15:09:44.520Z |
| _version_ |
1803571046143492096 |
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7.3997936 |