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Asymptotic equivalence of impulsive systems
Ukrainian Mathematical Journal, 2007 We present sufficient conditions for the asymptotic equivalence of a nonlinear impulsive system and a nonlinear system without pulses. We also consider the case of the asymptotic equivalence of a weakly nonlinear impulsive system and a linear system with pulses.
O. M. Stanzhyts’kyi, O. O. Misyats’
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Asymptotic equivalence theory for nonparametric regression with random design
Annals of Statistics, 2002 This paper establishes the global asymptotic equivalence between the nonparametric regression with random design and the white noise under sharp smoothness conditions on an unknown regression or drift function.
T Tony Cai, Mark G Low, Cun-Hui Zhang
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The American Mathematical Monthly, 2005
Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey II
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Since (x, y, z) is integral, the claim follows. (b) The formulas given for x, y, and z in terms of a, ,8, s, and t give valid points in N(a, b, c) also when s + t is even or gcd(s, t) > 1. (c) Let g(x) = (a/x)2 + (b/(c x))2. Since g is convex on (0, c), the equation g(x) = 1 has zero, one, or two solutions, depending on the minimum of g(x) over (0, c).
Slavko Simic, John H. Lindsey II
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Asymptotic Revenue Equivalence in Auctions
Journal of Economic Theory, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentina Bali, Matthew O. Jackson
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Asymptotically lacunary I2-invariant equivalence [PDF]
Journal of Intelligent & Fuzzy Systems, 2019 In this paper, the concept of asymptotically lacunary I 2 -invariant equivalence, the concepts of asymptotically lacunary
Ulusu, Uğur, Dündar, Erdinç
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Asymptotic equivalence and contiguity of some random graphs
Random Structures and Algorithms, 2010 We show that asymptotic equivalence, in a strong form, holds between two random graph models with slightly differing edge probabilities under substantially weaker conditions than what might naively be expected.
Svante Janson
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Asymptotic equivalence and adaptive estimation for robust nonparametric regression
Annals of Statistics, 2009 Asymptotic equivalence theory developed in the literature so far are only for bounded loss functions. This limits the potential applications of the theory because many commonly used loss functions in statistical inference are unbounded.
T Tony Cai, Harrison H Zhou
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Asymptotic equivalence of systems of differential equations
Russian Mathematical Surveys, 1985Translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No.3(262), 33-38 (Russian) (1984; Zbl 0551.34033).
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Asymptotically Equivalent Singular Perturbation Problems
Studies in Applied Mathematics, 1976A study is made of a two‐point nonlinear boundary‐value problem with a small parameter multiplying the highest derivative. It is shown that under certain circumstances the asymptotic solution to the problem is expressible in terms of the solution to a linear boundary‐value problem—in which case the two problems are said to be asymptotically equivalent.
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The Equivalence of Two Forms of an Asymptotic Expansion
Theory of Probability & Its Applications, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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