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- W4234900907 abstract "Given two independent Poisson processes 𝒜 and ℬ with rates respectively α and β ( α < β ) we match each point of 𝒜 with the closest point of ℬ that has not already been matched. The points of 𝒜 are taken in random order. It is shown that the point process of unmatched points of ℬ is a renewal process with the same interval distribution as the busy period of an M/M/ 1 queue. The distribution and moments of the distance between a typical point of 𝒜 and the corresponding matched point of ℬ are obtained. Variants of the matching process in which the assigned point of ℬ must lie to the right of the point of 𝒜, and in which the matching distance must be less than a fixed tolerance are studied. The use of matched samples to control for bias in observational studies is discussed." @default.
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- W4234900907 date "1979-12-01" @default.
- W4234900907 modified "2023-10-18" @default.
- W4234900907 title "Matched pairs in independent Poisson processes" @default.
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- W4234900907 doi "https://doi.org/10.2307/3213144" @default.
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