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Abstract:

We identify the sufficient reduction for the Principal Fitted Components model under mild conditions which generalize those considered in previous works. We give a short proof of the main result based on the d-separation for directed acyclic graphs (DAGs), linking two areas that, to our knowledge, have not been linked before in statistics. © 2018

Registro:

Documento: Artículo
Título:Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model
Autor:Szretter Noste, M.E.
Filiación:Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina
Palabras clave:Conditional independence; Directed acyclic graphs; Principal Fitted Components model; Sufficient dimension reduction
Año:2019
Volumen:145
Página de inicio:317
Página de fin:320
DOI: http://dx.doi.org/10.1016/j.spl.2018.08.008
Título revista:Statistics and Probability Letters
Título revista abreviado:Stat. Probab. Lett.
ISSN:01677152
CODEN:SPLTD
Registro:http://digital.bl.fcen.uba.ar/collection/paper/document/paper_01677152_v145_n_p317_SzretterNoste

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Citas:

---------- APA ----------
(2019) . Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model. Statistics and Probability Letters, 145, 317-320.
http://dx.doi.org/10.1016/j.spl.2018.08.008
---------- CHICAGO ----------
Szretter Noste, M.E. "Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model" . Statistics and Probability Letters 145 (2019) : 317-320.
http://dx.doi.org/10.1016/j.spl.2018.08.008
---------- MLA ----------
Szretter Noste, M.E. "Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model" . Statistics and Probability Letters, vol. 145, 2019, pp. 317-320.
http://dx.doi.org/10.1016/j.spl.2018.08.008
---------- VANCOUVER ----------
Szretter Noste, M.E. Using DAGs to identify the sufficient dimension reduction in the Principal Fitted Components model. Stat. Probab. Lett. 2019;145:317-320.
http://dx.doi.org/10.1016/j.spl.2018.08.008