Results 1 to 10 of about 461 (76)
Mathematics, 2022 When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role.
Alexey Kudryavtsev, Oleg Shestakov
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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Symbolic Maximum Likelihood Estimation with Mathematica [PDF]
, 1999 Mathematica is a symbolic programming language that empowers the user to undertake complicated algebraic tasks. One such task is the derivation of maximum likelihood estimators, demonstrably an important topic in statistics at both the research and ...
Rose, Colin, Smith, Murray D.
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On the use of the l(2)-norm for texture analysis of polarimetric SAR data [PDF]
, 2016 In this paper, the use of the l2-norm, or Span, of the scattering vectors is suggested for texture analysis of polarimetric synthetic aperture radar (SAR) data, with the benefits that we need neither an analysis of the polarimetric channels separately ...
Deng, xinping, López Martínez, Carlos
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6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values [PDF]
, 2011 Anomalous dimension of the simplest nontrivial single impurity operator in the beta=1/2 deformed theory is determined at six loops from the AdS/CFT correspondence.
Bajnok, Zoltan, Deeb, Omar el
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Approximation to Distribution of Product of Random Variables Using Orthogonal Polynomials for Lognormal Density [PDF]
, 2012 We derive a closed-form expression for the orthogonal polynomials associated with the general lognormal density. The result can be utilized to construct easily computable approximations for probability density function of a product of random variables ...
Hämäläinen, Jyri +3 more
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On the Invariance of Residues of Feynman Graphs [PDF]
, 2001 We use simple iterated one-loop graphs in massless Yukawa theory and QED to pose the following question: what are the symmetries of the residues of a graph under a permutation of places to insert subdivergences.
Bauer +33 more
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Time series models with an EGB2 conditional distribution [PDF]
, 2013 A time series model in which the signal is buried in noise that is non-Gaussian may throw up observations that, when judged by the Gaussian yardstick, are outliers.
Caivano, Michele, Harvey, Andrew
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Inequalities for Basic Special Functions Using Hölder Inequality
MathematicsLet p,q≥1 be two real numbers such that 1p+1q=1, and let a,b∈R be two parameters defined on the domain of a function, for example, f. Based on the well known Hölder inequality, we propose a generic inequality of the form |f(ap+bq)|≤|f(a)|1p|f(b)|1q, and ...
Mohammad Masjed-Jamei +2 more
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Certain Inequalities Involving the $q$-Deformed Gamma Function
, 2014 This paper is inspired by the work of J. S\'{a}ndor in 2006. In the paper, the authors establish some double inequalities involving the ratio $ \frac{\Gamma_{q}(x+1)}{ \Gamma_{q} \left( x+\frac{1}{2}\right)}$, where $\Gamma_{q}(x)$ is the $q$-deformation
Nantomah, Kwara, Prempeh, Edward
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