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An urn model with bernoulli removals and independent additions

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  • Siegrist, Kyle

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.

Suggested Citation

  • Siegrist, Kyle, 1987. "An urn model with bernoulli removals and independent additions," Stochastic Processes and their Applications, Elsevier, vol. 25, pages 315-324.
  • Handle: RePEc:eee:spapps:v:25:y:1987:i::p:315-324
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