This paper explores the properties of random orthogonal matrix (ROM) simulation when the random matrix is drawn from the class of rotational matrices. We describe the characteristics of ROM simulated samples that are generated using random Hessenberg, Cayley and exponential matrices and compare...

This paper considers a restriction to non-negative matrix factorization in which at least one matrix factor is stochastic. That is, the elements of the matrix factors are non-negative and the columns of one matrix factor sum to 1. This restriction includes topic models, a popular method for...

Provides an analysis of dynamic modelling in econometrics by bridging the unit-root gap between structural and time series approaches and focusing on representation theorems of (co)integrated processes.The book also presents an analytical setting to guide the formulation and solution in closed...