In Quantum Chromodynamics low energy spectral properties of the Dirac operator can be described

by random matrix ensembles. In time-series analysis strong statistical fluctuations coincide with

eigenvalue statistics of random matrices. These two completely different fields share the same type of

random matrix ensembles: chiral symmetric random matrices.

The analysis of two random-matrix models of this type is presented: the product of two coupled

Wishart matrices and the sum of two independent Wishart matrices. Here, we expose the integrability

of these models and compute quantities being of interest in Quantum Chromodynamics and in time-

series analysis, respectively.