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A class of PP l-statistics for tests
Acta Mathematicae Applicatae Sinica, 1992\(L\)-statistics, a linear combination of order statistics, are important and used in practice. Theoretically, there are some good properties, such as robustness, etc. Up to now, most work on \(L\)-statistics has focused only on univariate data. In this paper, projection pursuit techniques are employed to develop a class of \(L\)-statistics for ...
Shi, Peide, Li, Guoying
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Probability Inequalities for Generalized L-Statistics
Siberian Mathematical Journal, 2001Let \(X_n\) be independent random variables which are uniformly distributed on \([0,1]\). The authors study statistics of the type \(\Phi_n=\sum_{i=1}^n h_{ni}(X_{n:i})\), where \(X_{n:1}\leq\cdots\leq X_{n:n}\) are the order statistics based on the sample \(\{X_i;i\leq n\}\) and \(h_{ni}\) are measurable functions. The functionals of this general form
Borisov, I. S., Baklanov, E. A.
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Evaluating expectations of L-statistics by the Steffensen inequality
Metrika, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balakrishnan, N., Rychlik, T.
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On the normal approximations of V- and L-statistics
Journal of Statistical Planning and Inference, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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