Photo from wikipedia
Abstract We consider the distribution of the age of an individual picked uniformly at random at some fixed time in a linear birth-and-death process. By exploiting a bijection between the… Click to show full abstract
Abstract We consider the distribution of the age of an individual picked uniformly at random at some fixed time in a linear birth-and-death process. By exploiting a bijection between the birth-and-death tree and a contour process, we derive the cumulative distribution function for this distribution. In the critical and supercritical cases, we also give rates for the convergence in terms of the total variation and other metrics towards the appropriate exponential distribution.
Keywords:
death;
death process;
birth death;
linear birth;
distribution
Journal Title: Journal of Applied Probability
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Applied Probability
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!