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Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in GaGLM

open access: yesIEEE Access, 2022
The Gamma distribution based generalized linear model ( $Ga$ GLM) is a kind of statistical model feasible for the positive value of a non-stationary stochastic system, in which the location and the scale are regressed by the corresponding explanatory ...
Benchao Wang, Pan Qin, Hong Gu
doaj   +1 more source

On the generalized Cochrane sum with Dirichlet characters

open access: yesAIMS Mathematics, 2023
In this paper, we defined a new generalized Cochrane sum with Dirichlet characters, and gave the upper bound of the generalized Cochrane sum with Dirichlet characters.
Jiankang Wang, Zhefeng Xu, Minmin Jia
doaj   +1 more source

Higher-Order Asymptotic Numerical Solutions for Singularly Perturbed Problems with Variable Coefficients

open access: yesMathematics, 2022
For the purpose of solving a second-order singularly perturbed problem (SPP) with variable coefficients, a mth-order asymptotic-numerical method was developed, which decomposes the solutions into two independent sub-problems: a reduced first-order linear
Chein-Shan Liu   +2 more
doaj   +1 more source

Orthogonal Polynomials With a Semi-Classical Weight and Their Recurrence Coefficients

open access: yesIEEE Access, 2020
Focusing on the weight function $\omega (x,t)=x^{\alpha }e^{-\frac {1}{3}x^{3}+tx}, x\in [0,\infty),\,\,\,\,\alpha >-1,\,\,\,\,t> 0$ , we state its asymptotic orthogonal polynomials.
Dan Wang, Mengkun Zhu, Yang Chen
doaj   +1 more source

Asymptotic Separation of Solutions to Fractional Stochastic Multi-Term Differential Equations

open access: yesFractal and Fractional, 2021
In this paper, we study the exact asymptotic separation rate of two distinct solutions of Caputo stochastic multi-term differential equations (Caputo SMTDEs).
Arzu Ahmadova, Nazim I. Mahmudov
doaj   +1 more source

Weak gravity bounds in asymptotic string compactifications

open access: yesJournal of High Energy Physics, 2021
We study the charge-to-mass ratios of BPS states in four-dimensional N $$ \mathcal{N} $$ = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory.
Brice Bastian   +2 more
doaj   +1 more source

Asymptotics of Relativistic Spin Networks [PDF]

open access: yes, 2002
The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol.
Baez J C   +15 more
core   +2 more sources

Asymptotics of matrix integrals and tensor invariants of compact Lie groups [PDF]

open access: yes, 2008
In this paper we give an asymptotic formula for a matrix integral which plays a crucial role in the approach of Diaconis et al. to random matrix eigenvalues.
Stolz, Michael, Tate, Tatsuya
core   +2 more sources

Multigrade efficient congruencing and Vinogradov's mean value theorem [PDF]

open access: yes, 2015
We develop a multigrade enhancement of the efficient congruencing method to estimate Vinogradov's integral of degree $k$ for moments of order $2s$, thereby obtaining near-optimal estimates for $\tfrac{5}{8}k ...
Wooley, Trevor D.
core   +7 more sources

A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance

open access: yesJournal of High Energy Physics, 2017
We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the asymptotic formula for
John Cardy   +2 more
doaj   +1 more source

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