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A Limit Law for the Root Value of Minimax Trees

   
@article{ECP1168,
	author = {Tämur Khan and Luc Devroye and Ralph Neininger},
	title = {A Limit Law for the Root Value of Minimax Trees},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We consider  minimax trees  with independent, identically distributed leaf values that have a continuous distribution function $F_V$ being strictly increasing on the range where $0 < F_V < 1$. It was shown by Pearl that the root value of such trees  converges to a deterministic limit in probability without any scaling. We show that after normalization we have convergence in distribution to a nondegenerate limit random variable.},
	pages = {no. 28, 273-281},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1168},    
        url = {http://ecp.ejpecp.org/article/view/1168}}