Results 21 to 30 of about 857,676 (288)

Strong Convergence Bound of the Pareto Index Estimator under Right Censoring

open access: yesJournal of Inequalities and Applications, 2010
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
doaj   +2 more sources

Convex additively slowly varying functions

open access: yesJournal of Mathematical Analysis and Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janković, Slobodanka   +1 more
openaire   +1 more source

Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
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
doaj   +1 more source

Large Deviation Results and Applications to the Generalized Cramér Model

open access: yesMathematics, 2018
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
doaj   +1 more source

Slowly varying functions in the complex plane [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
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 ) /
openaire   +1 more source

The Quantum Vlasov Equation and its Markov Limit [PDF]

open access: yes, 1998
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
core   +3 more sources

Slowly varying functions and asymptotic relations

open access: yesJournal of Mathematical Analysis and Applications, 1971
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
openaire   +2 more sources

New results on slowly varying functions in the Zygmund sense [PDF]

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 2020
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
openaire   +3 more sources

Multimodal intrinsic speckle-tracking (MIST) to extract images of rapidly-varying diffuse X-ray dark-field

open access: yesScientific Reports, 2023
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
doaj   +1 more source

Structural theorems for quasiasymptotics of distributions at infinity [PDF]

open access: yes, 2008
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
core   +2 more sources

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