Limit theorems for sequences of random trees

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dc.creatorBalding, David
dc.creatorFerrari, Pablo A.
dc.creatorFraiman, Ricardo
dc.creatorSued, Mariela
dc.date2004-06-14
dc.date2007-05-01
dc.date.accessioned2026-07-07T07:58:59Z
dc.date.available2026-07-07T07:58:59Z
dc.descriptionWe 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.
dc.descriptionREvised version, 15 pages. An error on the parameter-range is corrected. Now z<m^{-3/2}
dc.identifierhttps://arxiv.org/abs/math/0406280
dc.identifierhttp://arxiv.org/abs/math/0406280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128205
dc.subjectProbability
dc.subject60D05 60F17 60D05
dc.titleLimit theorems for sequences of random trees
dc.typetext

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