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Review of: Madrigal L.: Statistics for Anthropology

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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, 2001
Let \(X_n\) 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, 2006
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Balakrishnan, N., Rychlik, T.
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On the normal approximations of V- and L-statistics

Journal of Statistical Planning and Inference, 1994
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Bootstrap Approximation of Distributions of the L-Statistics

Journal of Mathematical Sciences, 2002
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Moderate Deviations for a Class of L-Statistics

Acta Applicandae Mathematicae, 2008
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L-statistic combined with compressive sensing

SPIE Proceedings, 2013
Robust signal analysis based on the L-statistic was introduced for signals disturbed with high additive impulse noise. The basic idea is that a certain, usually large number of arbitrary positioned signal samples is declared as heavily corrupted by noise. Then, these samples are removed. Thus, they can be considered as absent or unavailable.
Srdjan Stankovic, Ljubisa Stankovic, Irena Orovic   +2 more
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Large and moderate deviations for L-statistics

Lithuanian Mathematical Journal, 1992
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