Orthogonal Frontiers and Alternative Mean‐Variance Efficiency Tests
研究了最小范数正交投资组合的性质，这些组合与均值方差无效的候选组合收益不相关，并提出了基于单个证券的零贝塔投资组合的均值方差效率检验方法。
ABSTRACT This paper catalogues properties of minimum norm orthogonal portfolios: portfolios which minimize a quadratic objective function and have returns uncorrelated with those of a candidate portfolio that is not mean‐variance efficient. The analysis shows that the dollar versions of these portfolios correspond to estimators of zero beta rates based on alternative statistical criteria and grouping procedures while costless orthogonal portfolios represent candidate mean‐variance efficiency tests. It also develops inference procedures for zero and unit net investment portfolios of individual securities (instead of grouped portfolios) that have zero expected betas. The resulting mean‐variance efficiency tests are reasonably insensitive to the underlying statistical assumptions.