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Abstract:

We consider a random tree and introduce a metric in the space of trees to define the "mean tree" as the tree minimizing the average distance to the random tree. When the resulting metric space is compact we have laws of large numbers and central limit theorems for sequence of independent identically distributed random trees. As application we propose tests to check if two samples of random trees have the same law. © 2008 Sociedad de Estadística e Investigación Operativa.

Registro:

Documento: Artículo
Título:Limit theorems for sequences of random trees
Autor:Balding, D.; Ferrari, P.A.; Fraiman, R.; Sued, M.
Filiación:Department of Epidemiology and Public Health, Imperial College, London, United Kingdom
Instituto de Matemática e Estatística, Univ. de São Paulo, São Paulo, Brazil
Departamento de Matemática y Ciencias, Univ. de San Andrés, Vito Dumas 284, 1644, Victoria, Argentina
Centro de Matemática, Univ. de la República, Montevideo, Uruguay
Instituto Del Cálculo, Univ. de Buenos Aires, Buenos Aires, Argentina
Palabras clave:D-mean; Invariance principle; Kolmogorov-Smirnov; Random trees
Año:2009
Volumen:18
Número:2
Página de inicio:302
Página de fin:315
DOI: http://dx.doi.org/10.1007/s11749-008-0092-z
Título revista:Test
Título revista abreviado:Test
ISSN:11330686
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11330686_v18_n2_p302_Balding

Referencias:

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Citas:

---------- APA ----------
Balding, D., Ferrari, P.A., Fraiman, R. & Sued, M. (2009) . Limit theorems for sequences of random trees. Test, 18(2), 302-315.
http://dx.doi.org/10.1007/s11749-008-0092-z
---------- CHICAGO ----------
Balding, D., Ferrari, P.A., Fraiman, R., Sued, M. "Limit theorems for sequences of random trees" . Test 18, no. 2 (2009) : 302-315.
http://dx.doi.org/10.1007/s11749-008-0092-z
---------- MLA ----------
Balding, D., Ferrari, P.A., Fraiman, R., Sued, M. "Limit theorems for sequences of random trees" . Test, vol. 18, no. 2, 2009, pp. 302-315.
http://dx.doi.org/10.1007/s11749-008-0092-z
---------- VANCOUVER ----------
Balding, D., Ferrari, P.A., Fraiman, R., Sued, M. Limit theorems for sequences of random trees. Test. 2009;18(2):302-315.
http://dx.doi.org/10.1007/s11749-008-0092-z