This paper introduces an iterative method to estimate the cointegrating vectors in the error correction models. The method provides the asymptotically efficient estimators for the cointegrating vectors if iterated once or more. If it is iterated until convergence, we may obtain the maximum likelihood estimator by Johansen. For all values of 1 ≤ k ≤ ∞, the k-step iterative estimators are asympto...

The finite-sample size and power properties of bootstrapped likelihood ratio systems cointegration tests are investigated via Monte Carlo simulations when the true lag order of the data generating process is unknown. Recursive bootstrap schemes are employed which differ in the way the lag order is chosen. The order is estimated by minimizing different information criteria and by combining the c...

Based on a sufficient condition proposed by Hollmann and Xiang forconstructing triple-error-correcting codes, the minimum distance of a binary cycliccodeC1,3,13 with three zeros α, α3, and α13 of length 2−1 and the weight divisibilityof its dual code are studied, where m ≥ 5 is odd and α is a primitive element of thefinite field F2m . The codeC1,3,13 is proven to hav...

Product (AN) codes constructed in weighted number systems are investigated with the aim of devising error control features suitable for application in arithmetic units. The previous theoretical framework, which was derived in the hypothesis of codes defined in a virtual range M = k A, is restated for any physical interval M = bn, where b is the radix of the system and n is the number of digits....

Meta-analysis of genome-wide association studies (GWAS) has become a useful tool to identify genetic variants that are associated with complex human diseases. To control spurious associations between genetic variants and disease that are caused by population stratification, double genomic control (GC) correction for population stratification in meta-analysis for GWAS has been implemented in the...

In computing, spell checking is the process of detecting and sometimes providing spelling suggestions for incorrectly spelled words in a text. Basically, a spell checker is a computer program that uses a dictionary of words to perform spell checking. The bigger the dictionary is, the higher is the error detection rate. The fact that spell checkers are based on regular dictionaries, they suffer ...