Motivated by the latest effort to employ banded matrices to estimate a high-dimensional covariance Σ , we propose a test for Σ being banded with possible diverging bandwidth. The test is adaptive to the “large p , small n ” situations without assuming a specific parametric distribution for...

This paper assesses the link between exchange volatility and exports in Egypt by combining wavelet analysis with an optimal GARCH model chosen among various extensions. The observed outcomes reveal that this relationship is complex and depends then widely to frequency-to-frequency variation and...

Iran’s agriculture part is one of the areas that can have an important effect on the growth of country’s economy. Concerning this, variables that can increase value added agriculture have been concentrated on and the government is supporting them. One of these policies is granting loanable...

Thinking about the development of the unifying mathematical approach to solve the problem on the evaluation of market risk of the global equity index portfolio in the highly volatile global capital markets, the authors focus their attention to an increasing necessity of application of the...

The article represents a brief review and development of the plenary report in the Moscow Institute of Physics and Technology. Three existing tools of sub-interval analysis (sub-interval arithmetic, incomplete data analysis and images) are reviewed and elements of two new tools (sub-interval...

The M&A transactions represent a wide range of unique business optimization opportunities in the corporate transformation deals, which are usually characterized by the high level of total risk. The M&A transactions can be successfully implemented by taking to an account the size of investments,...

Much of the literature on the airline industry identifies a potential entrant to a market based on whether the relevant carrier has presence in at least one of the endpoint airports of the market without actually operating between the endpoints. Furthermore, a potential entrant is often defined...

“Okun’s Law” states a 3:1 proportion between percent growth in U. S. real GNP and percent decrease in the rate of unemployment. This paper argues that this ratio is actually a Pi:1 proportion, heretofore unrecognized because it is displayed through a form of mathematic / harmonic inverse....

Recent experience of the great recession of 2008 has renewed one of the oldest debates in economics: whether economics could ever become a scientific discipline like physics. This paper proves that economics is truly a branch of physics by establishing for the first time a fundamental equation...

In Albers & Albers (Spring, 2013) we demonstrated that the historic development of U.S. real GNP, 1869-present, may be structured in recurring 14-year periods. A steady-state rate of growth of 3.4969% is thereby calculated, generating an increase in real GNP proportional to the famous “Golden...