Results 21 to 30 of about 857,676 (288)
Strong Convergence Bound of the Pareto Index Estimator under Right Censoring
Let {Xn,n≥1} be a sequence of positive independent and identically distributed random variables with common Pareto-type distribution function F(x)=1−x−1/γlF(x) as γ>0, where lF(x) represents a slowly varying ...
Bao Tao, Zuoxiang Peng
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Convex additively slowly varying functions
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Janković, Slobodanka +1 more
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The asymptotic behavior of solutions of the odd-order differential equation of Emden-Fowler type $$ x^{(2n+1)}(t) + q(t)|x(t)|^{\gamma}\textrm{sgn}\;x(t)=0 , $$ is studied in the framework of regular variation, under the assumptions that ...
Takaŝi Kusano, Jelena Manojlović
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Large Deviation Results and Applications to the Generalized Cramér Model
In this paper, we prove large deviation results for some sequences of weighted sums of random variables. These sequences have applications to the probabilistic generalized Cramér model for products of primes in arithmetic progressions; they could lead to
Rita Giuliano, Claudio Macci
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Slowly varying functions in the complex plane [PDF]
Let f be analytic and have no zeros in | arg z | > α ⩽ π |\arg z| > \alpha \leqslant \pi ; f is called slowly varying if, for every λ > 0 , f ( λ z ) /
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The Quantum Vlasov Equation and its Markov Limit [PDF]
The adiabatic particle number in mean field theory obeys a quantum Vlasov equation which is nonlocal in time. For weak, slowly varying electric fields this particle number can be identified with the single particle distribution function in phase space ...
A. A. Grib +70 more
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Slowly varying functions and asymptotic relations
Abstract : A survey of basic properties of slowly varying functions is given. The notion of quasi monotone functions is introduced and it is shown that a quasi monotone slowly varying function can be represented as a quotient of two non decreasing functions.
Bojanic, R, Seneta, E
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New results on slowly varying functions in the Zygmund sense [PDF]
A positive and measurable \(g\) is self-neglecting (notation: \(g \in SN\)) if it satisfies \[ \frac{g(x+yg(x))}{g(x)} \to 1, \forall y \in \mathbb{R} \] and locally uniformly in \(y\). A positive and measurable function \(a\) is in the class \(\Gamma _{\alpha} (g)\) if \(g \in SN\) and if \[ \frac{a(x+yg(x))}{a(x)} \to e ^{\alpha y}, \forall y \in ...
Omey, Edward, Cadena, Meitner
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Speckle-based phase-contrast X-ray imaging (SB-PCXI) can reconstruct high-resolution images of weakly-attenuating materials that would otherwise be indistinguishable in conventional attenuation-based X-ray imaging.
Samantha J. Alloo +3 more
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Structural theorems for quasiasymptotics of distributions at infinity [PDF]
Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are ...
Vindas Diaz, Jasson
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