Laws of Large Numbers for Observations that Change with Time

Mark D. Rothmann and Ralph P. Russo
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Mark D. Rothmann: University of Iowa
Ralph P. Russo: University of Iowa

Journal of Theoretical Probability, 2000, vol. 13, issue 4, 1013-1025

Abstract: Abstract Consider a system where units having random magnitude enter according to a nonhomogeneous Poisson process, stay for a random period of time, and then depart. While in the system, a unit's magnitude may change with time. Results are obtained for the strong limiting behavior of the distribution of magnitudes among units present in the system.

Keywords: nonhomogeneous Poisson process; strong laws of large numbers (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1007814007981

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