Phase-type distributions constitute a very versatile class of distributions. They have been used in a wide range of stochastic modelling applications in areas as diverse as telecommunications,â€¦ (More)

Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has been observed for a long time it is currently not well understood.â€¦ (More)

where the numerator and denominator are coprime polynomials. Here, the coefficients are real, and the zeros of the denominator polynomial are a subset of the eigenvalues of T . The point mass at zeroâ€¦ (More)

Demand for healthcare services is growing rapidly in Australia and across the world, and rising healthcare expenditure is increasing pressure on sustainability of government-funded healthcareâ€¦ (More)

This paper is concerned with properties of the algebraic degree of the Laplaceâ€“Stieltjes transform of phase-type (PH) distributions. The main problem of interest is: given a PH generator, how do weâ€¦ (More)

One approach to modelling real world tra c flow is to formulate it as a tra c equilibrium problem. Here, a solution must satisfy certain equilibrium conditions, equivalent to a Nash equilibrium inâ€¦ (More)

The Laplace-Stieltjes transform of a matrix-exponential distribution is a rational function. If there are no common factors between the numerator and denominator polynomials, then the order of theâ€¦ (More)