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Bayesian Discrepancy Measure: Higher-Order and Skewed Approximations [PDF]
EntropyThe aim of this paper is to discuss both higher-order asymptotic expansions and skewed approximations for the Bayesian discrepancy measure used in testing precise statistical hypotheses.
Elena Bortolato +3 more
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KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2020 We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation $$\displaylines{ i\partial_t u-\frac{a}{3}| \partial_x| ^3u-\frac{b}{4}\partial_x^4u =\lambda i\partial_x(| u|^2u),\quad (t,x) \in\mathbb{R}^{+}\times \mathbb{R},\cr ...
Pavel I. Naumkin, Isahi Sanchez-Suarez
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Comptes Rendus. Mathématique, 2022 We construct a relation between the leading pre-factor function $ A(z) $ and the singulants $ u_{0}(z)$, $ u_{1}(z)$, and recurrence relation of the singulants at higher levels for the solution of singularly-perturbed first-order ordinary general ...
Say, Fatih
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Mathematics, 2023 We consider an inverse spectral problem that consists in the recovery of the differential expression coefficients for higher-order operators with separate boundary conditions from the spectral data (eigenvalues and weight numbers).
Natalia P. Bondarenko
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Axioms, 2023 The integro-differential Cauchy problem with exponential inhomogeneity and with a spectral value that turns zero at an isolated point of the segment of the independent variable is considered.
Burkhan Kalimbetov +2 more
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Mathematics, 2020 In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
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Critical global asymptotics in higher-order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a higher-order semilinear parabolic equation ut=−(−Δ)mu−g(x,u) in ℝN×ℝ+, m>1. The nonlinear term is homogeneous: g(x,su)≡|s|p−1sg(x,u) and g(sx,u)≡|s|Qg(x,u) for any s∈ℝ, with exponents P>1, and Q>−2m.
Victor A. Galaktionov
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Asymptotics of Some Classes of Higher-Order Difference Equations
Discrete Dynamics in Nature and Society, 2007 We present some methods for finding asymptotics of some classes of nonlinear higher-order difference equations. Among others, we confirm a conjecture posed by S. Stević (2005). Monotonous solutions of the equation yn=A+(yn−k/∑j=1mβjyn−qj)p, n∈ℕ0, where p,
Stevo Stevic
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Higher-order asymptotic corrections and their application to the Gamma Variance Model
European Physical Journal C: Particles and Fields, 2023 We present improved methods for calculating confidence intervals and p values in situations where standard asymptotic approaches fail due to small sample sizes.
Enzo Canonero +2 more
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Physical Review Research, 2021 Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments of displacement, with exponents that do not depend linearly on the order of the moment. The exponents concerning small-order moments are dominated by random motion,
Jürgen Vollmer +4 more
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