Limit theorems for sequences of random trees

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 i...

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Autores principales: Balding, D., Ferrari, P.A., Fraiman, R., Sued, M.
Formato: JOUR
Materias:
D-mean
Invariance principle
Kolmogorov-Smirnov
Random trees
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11330686_v18_n2_p302_Balding
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11330686_v18_n2_p302_Balding
record_format dspace
spelling todo:paper_11330686_v18_n2_p302_Balding2023-10-03T16:07:55Z Limit theorems for sequences of random trees Balding, D. Ferrari, P.A. Fraiman, R. Sued, M. D-mean Invariance principle Kolmogorov-Smirnov Random trees 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11330686_v18_n2_p302_Balding
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic D-mean
Invariance principle
Kolmogorov-Smirnov
Random trees
spellingShingle D-mean
Invariance principle
Kolmogorov-Smirnov
Random trees
Balding, D.
Ferrari, P.A.
Fraiman, R.
Sued, M.
Limit theorems for sequences of random trees
topic_facet D-mean
Invariance principle
Kolmogorov-Smirnov
Random trees
description 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.
format JOUR
author Balding, D.
Ferrari, P.A.
Fraiman, R.
Sued, M.
author_facet Balding, D.
Ferrari, P.A.
Fraiman, R.
Sued, M.
author_sort Balding, D.
title Limit theorems for sequences of random trees
title_short Limit theorems for sequences of random trees
title_full Limit theorems for sequences of random trees
title_fullStr Limit theorems for sequences of random trees
title_full_unstemmed Limit theorems for sequences of random trees
title_sort limit theorems for sequences of random trees
url http://hdl.handle.net/20.500.12110/paper_11330686_v18_n2_p302_Balding
work_keys_str_mv AT baldingd limittheoremsforsequencesofrandomtrees
AT ferraripa limittheoremsforsequencesofrandomtrees
AT fraimanr limittheoremsforsequencesofrandomtrees
AT suedm limittheoremsforsequencesofrandomtrees
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