Weak convergence of linear rank statistics
Béla Gyires (1980)
Banach Center Publications
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Displaying similar documents to “On Dwass' method for deriving the distribution of rank order statistics”
Weak convergence of linear rank statistics
Simple random walk and rank order statistics
Igor Očka (1977)
Aplikace matematiky
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The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.
Rank statistics approach in generalized bootstrap
Marie Hušková (1995)
Kybernetika
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Characterizations of power distributions via moments of order statistics and record values
Z. Grudzień, D. Szynal (1999)
Applicationes Mathematicae
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Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.
On general asymptotic behaviour of order statistics with random index.
Barakat, H.M., El-Shandidy, M.A. (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Multivariate skewness and kurtosis for singular distributions.
Ramón Ardanuy, José Manuel Sánchez (1993)
Extracta Mathematicae
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In multivariate analysis it is generally assumed that the observations are normally distributed. It was Mardia ([1] to [5]), who first introduced measures of multivariate skewness and kurtosis; these statistics are affine invariant and can be used for testing multivariate normality. Skewness and kurtosis tests remain among the most powerful, general and easy to implement. In this paper we show some properties of these statistics when population distribution is singular.