Laws of Large Numbers for Observations that Change with Time |
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Authors: | Mark D Rothmann Ralph P Russo |
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Institution: | (1) Department of Statistics and Actuarial Science, University of Iowa, Iowa City, Iowa, 52242 |
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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. |
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Keywords: | nonhomogeneous Poisson process strong laws of large numbers |
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