Introduction : Sometimes the mapping of variable values made during measurement needs to be transformed due conditions related data analysis. Research Aim The aim this article is present issue normalization transformation and circumstances their application. Evidence-based Facts Due lack knowledge or experience, transformations are not taken into account in analysis education research. And if t...

Granular media consist of a large number discrete particles interacting mostly through contact forces that, being dissipative, jeopardizes classical statistical equilibrium approach based on energy. Instead, two independent descriptions have been proposed: the Volume Ensemble and Force Network Ensemble. Hereby, we propose procedure to join them into single description, using Discrete Element si...

We provide statistical and computational analysis of sparse Principal Component Analysis (PCA) in high dimensions. The sparse PCA problem is highly nonconvex in nature. Consequently, though its global solution attains the optimal statistical rate of convergence, such solution is computationally intractable to obtain. Meanwhile, although its convex relaxations are tractable to compute, they yiel...

Pairs trading is a comparative-value form of statistical arbitrage designed to exploit temporary random departures from equilibrium pricing between two shares. However, the strategy is not riskless. Market events as well as poor statistical modeling and parameter estimation may all erode potential profits. Since conventional loss limiting trading strategies are costly, a preferable situation is...

Evaluation of side channel leakage for the embedded crypto systems requires sound leakage detection procedures. We relate the test vector leakage assessment (TVLA) procedure to the statistical minimum p-value (mini-p) procedure, and propose a sound method of deciding leakage existence in the statistical hypothesis setting. To improve detection, an advanced statistical procedure Higher Criticism...