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Limit theorems for sequences of random trees | | David Balding
; Pablo A. Ferrari
; Ricardo Fraiman
; Mariela Sued
; | | Date: |
14 Jun 2004 | | Subject: | Probability MSC-class: 60D05 60F17 60D05 | math.PR | | 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 show 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. | | Source: | arXiv, math.PR/0406280 | | Services: | Forum | Review | PDF | Favorites | |
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