On the age of a randomly picked individual in a linear birth-and-death process
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2018.7
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… read more here.
Keywords: death; death process; birth death; linear birth ... See more keywords
A note on a transient queuing system of a linear birth–immigration process in presence of twin births
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2017.1361983
Abstract: ABSTRACT In this article, we consider a simple transient queuing system, i.e., a linear birth process with immigration in the presence of twin births. We find the differential-difference equation and also the probability-generating function (p.g.f.)… read more here.
Keywords: presence; birth; immigration; process ... See more keywords