The aim of this work is to develop a polynomial matrix transformation, which preserves both the finite and infinite elementary divisor structure and show its connection with other known transformations

In Pugh et. al. (1998), fundamental equivalence between AutoRegressive (AR) - representations has been defined. Actually two AR-representations are defined to be fundamentally equivalent in case there exists a bijective polynomial differential map between its behaviours. In this paper, it is...

The maximal and minimal ranks of the quadratic matrix expression – ( – )( – ) with respect to and are presented. As applications, the maximal and minimal ranks of the Schur complement with respect to a reflexive generalized inverse of matrix and their various consequences are also considered

A matrix is called an outer inverse for a matrix if = . In this paper, we present some new rank equalities related to outer inverses of matrices, and apply them to characterize various equalities for Moore-Penrose inverses, Drazin inverses and weighted Moore-Penrose inverses of matrices. In...

We present the valuation of an operational swing option in the Black and Scholes market environment. We consider such a swing option with the load for a customer being a time-dependent deterministic function of a random parameter. This random parameter can have various interpretations. In the...

An exact algorithm for generating two positively correlated Beta-distributed random variables is provided. The paired Beta-distributed random variables are generated from ratios of independent standard Gamma distributions. A positive correlation is achieved by introducing two shared standard...

Let be a real-valued fractional Brownian sheet. Consider the (, ) Gaussian random field defined by , where are independent copies of . In this paper, the existence and joint continuity of the local times of are established