# This Collection

By Defense Date By Authors By Titles By Subject

# Statistics

View Statistics All RECERCAT

# My RECERCAT

 Title: Almost sure testability of classes of densities Devroye, Luc; Lugosi, Gábor Universitat Pompeu Fabra. Departament d'Economia i Empresa Let a class $\F$ of densities be given. We draw an i.i.d.\ sample from a density $f$ which may or may not be in $\F$. After every $n$, one must make a guess whether $f \in \F$ or not. A class is almost surely testable if there exists such a testing sequence such that for any $f$, we make finitely many errors almost surely. In this paper, several results are given that allowone to decide whether a class is almost surely testable. For example, continuity and square integrability are not testable, but unimodality, log-concavity, and boundedness by a given constant are. 2005-09-15 Statistics, Econometrics and Quantitative Methodsdensity estimationkernel estimateconvergencetestingasymptotic optimalityminimax rateminimum distance estimationtotal boundedness L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Working Paper

# Related documents

## Other documents of the same author

Devroye, Luc; Lugosi, Gábor
Devroye, Luc; Györfi, László; Lugosi, Gábor
Devroye, Luc; Lugosi, Gábor; Udina, Frederic
Györfi, László; Lugosi, Gábor
Antos, Andras; Lugosi, Gábor

Coordination

Supporters