650,811 research outputs found

    A note on multiple imputation for method of moments estimation

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    Multiple imputation is widely used for estimation in situations where there are missing data. Rubin (1987) provided an easily applicable formula for multiple imputation variance estimation, but its validity requires the congeniality condition of Meng (1994), which may not be satisfied for method of moments estimation. We give the asymptotic bias of Rubin's variance estimator when method of moments estimation is used in the complete-sample analysis for each imputed dataset. A new variance estimator based on over-imputation is proposed to provide asymptotically valid inference in this case.This is a pre-copyedited, author-produced PDF of an article accepted for publication in Biometrika following peer review. The version of record (S. Yang, J. K. Kim; A note on multiple imputation for method of moments estimation. Biometrika 2016; 103 (1): 244-251) is available online at doi:10.1093/biomet/asv073. Posted with permission.</p

    On some inequalities of s-convex functions

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    碩士在這篇論文中我們將介紹一些跟s-convex functions 有關的不等式。In this paper, we will introduce some inequalities about s-convex functions.Introduction 01 Main Results 03 Reference 12 導論 13 主要結果 15 參考文獻 24學號: 696190239, 學年度: 9

    Yang-Baxter maps and the discrete KP hierarchy

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    We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples

    Infinite Dimensional Symmetries of Self-Dual Yang-Mills Theories.

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    We construct infinite dimensional symmetries of the Chalmers-Siegel action describing the self-dual sector of non-supersymmetric Yang-Mills. The symmetries are derived by virtue of a canonical transformation between the Yang-Mills fields and new fields that map the Chalmers-Siegel action to a free theory which has been used to construct a Lagrangian approach to the MHV rules. We describe the symmetries of the free theory in a quite general way which are an infinite dimensional algebra in the group algebra of isometries. We dimensionally reduce the symmetries of the action to write down symmetries of the Hitchin system and further, we extend the construction to the N=4N=4 supersymmetric, self-dual theory. We review recent developments in the approach to calculating N=4 Yang-Mills scattering amplitudes using symmetry arguments. Super-conformal symmetry and the recently discovered dual super-conformal symmetry have been shown to be related as a Yangian algebra and moreover, anomalous terms appearing in their action on amplitudes lead to deformations of the generators which gives rise to recursive relationships between amplitudes

    The house at Martin Road, Sydney, ca. 1985 [picture] /

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    Title devised by cataloguer based on inscription.; Part of the collection: Patrick White and his circle, 1977-1989.; Inscriptions: "The House at Martin Road. William Yang. 80's 1/10"--Below image; Photographer's stamp lower left.; Also available online at: http://nla.gov.au/nla.pic-vn5788002; Purchased from the photographer, 2012
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