We study independent component analysis with noisy observations. We present, for the first time in the literature, consistent, polynomial-time algorithms to recover non-Gaussian source signals and the mixing matrix with a reconstruction error that vanishes at a 1/ √ T rate using T observations and scales only polynomially with the natural parameters of the problem. Our algorithms and analysis a...

Factor analysis is widely used in many application areas. The first step, choosing the number of factors, remains a serious challenge. One of the most popular methods is parallel analysis (PA), which compares the observed factor strengths to simulated ones under a noise-only model. This paper presents a deterministic version of PA (DPA), which is faster and more reproducible than PA. We show th...

In this current study a generalized super-efficiency model is first proposed for ranking extreme efficient decision making units (DMUs) in stochastic data envelopment analysis (DEA) and then, a deterministic (crisp) equivalent form of the stochastic generalized super-efficiency model is presented. It is shown that this deterministic model can be converted to a quadratic programming model. So fa...

Performance evaluation of electricity distribution units is an important issue between researchers and regulators. Classic Data Envelopment Analysis models with deterministic data have been used by many authors to measure efficiency of power distribution units in different countries. However, Data Envelopment Analysis with stochastic data are rarely used to measure efficiency of distribution co...