This paper considers the portfolio problem for high dimensional data when the dimension and size are both large.We analyze the traditional Markowitz mean-variance (MV) portfolio by large dimension matrix theory, and find the spectral distribution of the sample covariance is the main factor to...

Parametric production frontier functions are frequently used in stochastic frontier models, but there do not seem to be any empirical test statistics for its plausibility. To bridge the gap in the literature, we develop two test statistics based on local smoothing and an empirical process,...

Parametric production frontier function has been commonly employed in stochas-tic frontier model but there was no proper test statistic for its plausibility. To fill into this gap, this paper develops two test statistics to test for a hypothesized parametric production frontier function based on...