In this paper, we develop methods of the determination of the rank of random matrix. Using the matrix perturbation theory to construct or find a suitable bases of the kernel (null space) of the matrix and to determine the limiting distribution of the estimator of the smallest singular values. We...

In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2 where N is the sample size. The test statistic is based on the smallest estimated...

This paper analyzes the systematic relationship between the stock market valuations, the nominal GDPs and the interest rates of six Asian countries, using not 'single equation regression,' but an alternative methodology based on complete, multidirectional, least squares projections. We compare...

Theoretical study identifying one modality with conditions necesary for the financial stabilization of an inherently unstable system; and 5040 other unstable dynamic modes. It draws on knowledge made available by the academic field of Control Engineering.

This paper brings together a number of new specification search strategies in spatial econometric modeling. In the literature, experimental results for several forward stepwise strategies aimed at remedying spatial dependence, have been reported. Essentially, these strategies boil down to the...

Credit risk models like Moody’s KMV are now well established in the market and give bond managers reliable estimates of default probabilities for individual firms. Until now it has been hard to relate those probabilities to the actual credit spreads observed on the market for corporate bonds....

In this paper, we survey a wide range of theoretical and empirical papers on derivatives markets to address the information contents of trading activities in derivatives markets. Both theoretical and empirical research on options market and futures market indicate that the presence of...