An urn model with bernoulli removals and independent additions

Kyle Siegrist

Stochastic Processes and their Applications, 1987, vol. 25, 315-324

Abstract: A single urn model is considered for which, at each of a discrete set of time values, the balls in the urn are first removed independently with a probability that depends on the time value and then, independently of the number of balls remaining, a random number of new balls are added to the urn. The distribution and moments of the number of balls in the urn at time n are studied as well as the asymptotic behavior as n approaches infinity. Some special cases are considered in detail.

Keywords: urn; model; Bernoulli; trials; braching; process; weak; convergence (search for similar items in EconPapers)
Date: 1987
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