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- W2091852458 abstract "Orderings (denoted ⪡) for probability distributions on the circle are introduced for which μ1 ⪡ μ2 means roughly that μ1 is “more uniform” than μ2, or that μ2 is “more clumped” than μ1. Somewhat more precisely, μ1 ⪡ μ2 if the random variable μ1(As) is “less variable” than the random variable μ2(As) for all s, where As denotes a random arc of length s distributed uniformly on the circle. Some properties of the orderings are explored and applications are presented to random coverage problems on the circle, the distribution of spacings, and the analysis of directional data." @default.
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- W2091852458 date "1990-05-01" @default.
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- W2091852458 title "Ordering distributions on the circle with respect to uniformity" @default.
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- W2091852458 doi "https://doi.org/10.1016/0047-259x(90)90054-l" @default.
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