Research
On Geometric Models in modern computing and networking
This paper discusses a few geometric models that have been of great utility in the modern technologically dominated society. Under the setting of topological manifolds the mathematical concepts underlying computer graphics have been explored. Other applications of the theory of manifolds in computer science and communication technology namely in codes, ciphers and networks are described. Using the concept of triangulations and homology we describe a discrete model concerning the networked environment.
Empirical Analysis of the Causal Relationship between Nominal Exchange Rate and Foreign Direct Investment in India Using VAR (Vector Autoregression Model)
The present study tries to establish a causal relationship between the nominal exchange rate and foreign direct investment in India using a time series data between 1992 and 2010. It tries to understand whether the fluctuation in the exchange rate in turn causes the change in the quantum of foreign direct investments inflows and vice-versa which is of enormous importance in the wake of unprecedented depreciation of Indian Rupee against US dollar. Our analysis uses unit root test and Johenson cointegration test to show whether the variables under consideration exhibit stationarity and a long run association respectively. The test indicates absence of any long term association between the two variables under consideration. In the present context it appears that the data is not stationary at level and is stationary at first difference. The Vector Auto regression (VAR) model depicts that the coefficients do not have any long run association.
