Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1965 · 467 citations · 52 references
Natural SciencesMathematicsProbability TheoryStatisticsLimit TheoremsOrder StatisticsProbability DistributionsSpacing EffectsAsymptotic Distribution TheoryDiscrete Random VariablesDistribution TheoryIdentically Distributed Random VariablesLimit LawsOrder Statistic DistributionsSequential Order Statistics
Summary The distribution theory and possible constructions for spacings (differences) between successive order statistics of a sample of independent and identically distributed random variables are reviewed. The problem of finding the limiting distribution of a function of spacings is discussed and some general limit theorems for such are presented.
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