The Z-Transform Applied to a birth-death Process Having Varying birth and death rates

The Z-transform Applied to a Birth-death Process Having Varying Birth and Death Rates

The analysis of a birth-death process using the z-transform was recently reported for processes having fixed transition probabilities between states. The current report extends that analysis to processes having transition probabilities that can differ from state to state. It is then shown that the model can be used to study practical queuing and birth-death systems where the arrival, birth, ser...

A Birth-Death Process for Feature Allocation

We propose a Bayesian nonparametric prior over feature allocations for sequential data, the birthdeath feature allocation process (BDFP). The BDFP models the evolution of the feature allocation of a set of N objects across a covariate (e.g. time) by creating and deleting features. A BDFP is exchangeable, projective, stationary and reversible, and its equilibrium distribution is given by the Ind...

Consolidating Birth-Death and Death-Birth Processes in Structured Populations

Network models extend evolutionary game theory to settings with spatial or social structure and have provided key insights on the mechanisms underlying the evolution of cooperation. However, network models have also proven sensitive to seemingly small details of the model architecture. Here we investigate two popular biologically motivated models of evolution in finite populations: Death-Birth ...

Language Birth and Death

■ Abstract Since the late 1980s, language endangerment and death have been discussed as if the phenomena had no connection at all with language birth. More recently the phenomena have been associated almost exclusively with the intense and pervasive economic globalization of same period, a process that some authors have reduced too easily to the McDonaldization phenomenon. Moreover, the relatio...

Stationary Distribution of a Perturbed Quasi-birth-and-death Process