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Gamma exponentiated generalized family of distributions with properties and applications. [PDF]
Alshawarbeh E +3 more
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The effect of fatigue on static and dynamic balance in healthy young male athletes: a randomized trial. [PDF]
Almutairi AB +4 more
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Association of Postoperative Ileus With Length of Hospital Stay in Abdominal Surgery Patients. [PDF]
Askari Shah ST +5 more
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Clinical outcomes of sharp esophageal foreign bodies in elderly patients: a retrospective study from Wuhan, China. [PDF]
Xu J, Chen B, Liu Y.
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Communications in Statistics - Theory and Methods, 1986
For a class of distributions which are invariant under a group of transformations, we propose an estimator ot an estimable parameter. The estimator, which we call the invariant U-statistic, is the uniformly minimum variance unbiased estimator of the corresponding estimable parameter for the class of all continuous distributions which are invariant ...
Hajime Yamato, Yoshihiko Maesono
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For a class of distributions which are invariant under a group of transformations, we propose an estimator ot an estimable parameter. The estimator, which we call the invariant U-statistic, is the uniformly minimum variance unbiased estimator of the corresponding estimable parameter for the class of all continuous distributions which are invariant ...
Hajime Yamato, Yoshihiko Maesono
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CLT For U-statistics With Growing Dimension
Statistica Sinica, 2022Summary: We present a general triangular array central limit theorem for \(U\)-statistics, where the kernel \(h_k (x_1, \dots, x_k)\) and its dimension \(k\) may increase with the sample size. Motivating examples that require such a general result are presented, including a class of Hodges-Lehmann estimators, subsampling estimators, and combining \(p\)-
Diciccio, Cyrus, Romano, Joseph
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Weighted bootstrapping of U-statistics
Journal of Statistical Planning and Inference, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Acta Applicandae Mathematicae, 1994
Let \(B\) be a real separable Banach space with the norm \(\|\cdot\|\). Let \(X_ 1,\dots, X_ n\) be independent random elements with values in a measurable space \(({\mathcal X},{\mathcal A})\) and having identical distribution \(P\). Each symmetric function \(\Phi: {\mathcal X}^ m\to B\) defines a so-called \(UB\)-statistic \[ U_{mn}= {n\choose m}^{-1}
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Let \(B\) be a real separable Banach space with the norm \(\|\cdot\|\). Let \(X_ 1,\dots, X_ n\) be independent random elements with values in a measurable space \(({\mathcal X},{\mathcal A})\) and having identical distribution \(P\). Each symmetric function \(\Phi: {\mathcal X}^ m\to B\) defines a so-called \(UB\)-statistic \[ U_{mn}= {n\choose m}^{-1}
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