This paper proposes a bootstrap procedure for estimating the risk minimizing decision rule from within a parameterized family of rules. The procedure is conceptually simple and applicable to a broad class of decision problems involving parameter uncertainty. Moreover, when applied to Markowitz's...

Multidimensional poverty measures give rise to a host of statistical hypotheses which are of interest to applied economists and policy-makers alike. In the specific context of the generalized Alkire-Foster (Alkire and Foster 2008) class of measures, we show that many of these hypotheses can be...

The prominence of the Euler allocation rule (EAR) is rooted in the fact that it is the only return on risk-adjusted capital (RORAC) compatible capital allocation rule. When the total regulatory capital is set using the value-at-risk (VaR), the EAR becomes -- using a statistical term -- the...

Since the pioneering work of Gerhard Grüss dating back to 1935, Grüss’s inequality and, more generally, Grüss-type bounds for covariances have fascinated researchers and found numerous applications in areas such as economics, insurance, reliability, and, more generally, decision making...