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Entropy Estimate for $k$-Monotone Functions via Small Ball Probability of Integrated Brownian Motions

   
@article{ECP1357,
	author = {Fuchang Gao},
	title = {Entropy Estimate for $k$-Monotone Functions via Small Ball Probability of Integrated Brownian Motions},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {13},
	year = {2008},
	keywords = {metric entropy, \$k\$-monotone function, small ball probability, \$k\$-times integrated Brownian motion},
	abstract = {Metric entropy of the class of probability distribution functions on $[0,1]$ with a $k$-monotone density is studied through its connection with the small ball probability of $k$-times integrated Brownian motions.},
	pages = {no. 12, 121-130},
	issn = {1083-589X},
	doi = {10.1214/ECP.v13-1357},    
        url = {http://ecp.ejpecp.org/article/view/1357}}