منابع مشابه
Quantiles and Medians
We provide a list of functional equations that characterize quantile functions for collections of bounded and measurable functions. Our central axiom is ordinal covariance. When a probability measure is exogeneously given, we characterize quantiles with respect to that measure through monotonicity with respect to stochastic dominance. When none is given, we characterize those functions which ar...
متن کاملThe use of Quantiles of Auxiliary Variables to Estimate Medians
The problem of estimating a population mean in the presence of an auxiliary variable has been widely discussed in the finite population sampling literature. For the problem of estimating a population median, however, the situation is quite different and only recently has this problem been discussed. Chambers and Dunstan (1986) proposed a method for estimating the population distribution functio...
متن کاملNovel Algorithms for Computing Medians and Other Quantiles of Disk-Resident Data
In data warehousing applications, numerous OLAP queries involve the processing of holistic operations such as computing the "top N", median, etc. Efficient implementations of these operations are hard to come by. Several algorithms have been proposed in the literature that estimate various quantiles of disk-resident data. Two such recent algorithms are based on sampling. In this paper we presen...
متن کاملDivision of the Humanities and Social Sciences California Institute of Technology Pasadena, California 91125 Quantiles and Medians
We provide a list of functional equations that characterize quantile functions for collections of bounded and measurable functions. Our central axiom is ordinal covariance. When a probability measure is exogeneously given, we characterize quantiles with respect to that measure through monotonicity with respect to stochastic dominance. When none is given, we characterize those functions which ar...
متن کاملGlobal comparisons of medians and other quantiles in a one-way design when there are tied values
For J ≥ 2 independent groups, the paper deals with testing the global hypothesis that all J groups have a common population median or identical quantiles, with an emphasis on the quartiles. Classic rank-based methods are sometimes suggested for comparing medians, but it is well known that under general conditions they do not adequately address this goal. Extant methods based on the usual sample...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1965
ISSN: 0003-4851
DOI: 10.1214/aoms/1177700064