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Asymptotic Formula for Noncentral F-Distribution [PDF]

The Egyptian Statistical Journal, 1977
The method of small parameter is used to obtain a new representation for the distribution of the variance ratio when the Null-Hypothesis is not true. Although the new formula is supposed to be valid only when λ(the non-centrality parameter) is large, yet
A.H. Taha, K.E. El-Nadi
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Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in GaGLM

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

Mathematics, 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, Essam R. El-Zahar, Chih-Wen Chang   +2 more
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Orthogonal Polynomials With a Semi-Classical Weight and Their Recurrence Coefficients

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

Fractal 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
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Weak gravity bounds in asymptotic string compactifications

Journal 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, Thomas W. Grimm, Damian van de Heisteeg   +2 more
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A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance

Journal 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, Alexander Maloney, Henry Maxfield   +2 more
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A lower bound on the number of finite simple groups

International Journal of Mathematics and Mathematical Sciences, 1980
Let S(n ...
Michael E. Mays
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Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory

Bulletin of Mathematical Sciences, 2023
In [Y.-G. Oh and R. Wang, Analysis of contact Cauchy-Riemann maps I: A priori [Formula: see text] estimates and asymptotic convergence, Osaka J. Math. 55(4) (2018) 647–679; Y.-G. Oh and R.
Yong-Geun Oh
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A cardy formula for three-point coefficients or how the black hole got its spots

Journal of High Energy Physics, 2017
Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s ...
Per Kraus, Alexander Maloney
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