For the standard kernel density estimate, it is known that one can tune the bandwidth such that the expected L1 error is within a constant factor of the optimal L1 error (obtained when one is allowed to choose the bandwidth with knowledge of the density). In this paper, we pose the same problem...

We continue the development of a method for the selection of a bandwidth or a number of design parameters in density estimation. We provide explicit non-asymptotic density-free inequalities that relate the $L_1$ error of the selected estimate with that of the best possible estimate, and study in...

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...

Foreign aid provides a windfall of resources to recipient countries and may result in the same rent seeking behavior as documented in the “curse of natural resources” literature. In this paper we discuss this effect and document its magnitude. Using data for 108 recipient countries in the...

This paper ia an attempt to clarify the relationship between fractionalization, polarization and conflict. The literature on the measurement of ethnic diversity has taken as given that the proper measure for heterogeneity can be calculated by using the fractionalization index. This index is...