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Asymptotic Stability of Switched Higher Order Laplacians
2007Recently, several properties in networked sensing and distributed systems have been modeled by various researchers [1,2,3,5,7,9,11,12] using topological spaces and their topological invariants. The unifying theme in these approaches has been that the local properties of a network, as dictated by local interactions among agents, can be captured by ...
Abubakr Muhammad, Ali Jadbabaie
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Higher-order asymptotic theory
2000Abstract In this chapter we consider the problem of constructing higher-order asymptotic approximations to the distribution of the maximum likelihood estimate, the likelihood ratio test statistic, and related quantities. Two basic methods are considered: Edge worth expansions and saddle point approximations.
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Higher order asymptotics for the Hirota equation via Deift–Zhou higher order theory
Physics Letters A, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Lin, Xu, Jian, Fan, En-gui
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Conditional likelihood and power: higher-order asymptotics
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992Abstract This paper considers, in the presence of a nuisance parameter, a very large class of tests that includes the conditional and the usual versions of the likelihood ratio (LR), Rao’s and Wald’s tests. Under contiguous alternatives and orthogonal parametrization, the power functions of the conditional and the usual versions of ...
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The Asymptotic Variance of Higher Order Crossings.
1982Abstract : The rate of decrease in the variance of higher order crossings is obtained for stationary Gaussian m-dependent sequences. This result provides a fast approximation to the variance of the number of axis crossings of oscillatory processes. In some sense, the authors fill in a gap not answered by the Higher Order Crossings Theorem regarding the
George Reed, Benjamin Kedem
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Eigenvalue Asymptotics and a Trace Formula for a Fourth-Order Differential Operator
Complex Analysis and Operator Theory, 2023Dmitry Mikhailovich Polyakov
exaly
Sharp Eigenvalue Asymptotics for Fourth Order Operators on the Circle
Journal of Mathematical Analysis and Applications, 2014Andrey Badanin, Evgeny Korotyaev
exaly

