Results 61 to 70 of about 6,291 (196)

Strictly Archimedean copulas with complete association for multivariate dependence based on the Clayton family

Dependence Modeling, 2018
The family of Clayton copulas is one of the most widely used Archimedean copulas for dependency measurement. A major drawback of this copula is that when it accounts for negative dependence, the copula is nonstrict and its support is dependent on the ...
Cooray Kahadawala
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Certain Logarithmically N-Alternating Monotonic Functions Involving Gamma and q-Gamma Functions

, 2005
In the paper, three basic properties of the logarithmically N-alternating monotonic functions are established and the monotonicity results of some functions involving the gamma and q-gamma functions, which are obtained in [W. E. Clark and M. E.
Qi, Feng
core  

Interconversion Relationships for Completely Monotone Functions

SIAM Journal on Mathematical Analysis, 2014
In linear viscoelasticity, the analytically valid Volterra convolution interconversion relationships between the relaxation modulus $G$ and the corresponding creep compliance (retardation) modulus $J$ play a fundamental role. They allow $J$ to be determined from both theoretical and experimental estimates of $G$ and conversely.
Loy, Richard, Anderssen, Robert
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Complete monotonicity for inverse powers of some combinatorially defined polynomials

, 2014
We prove the complete monotonicity on (0,∞)n(0,∞)n for suitable inverse powers of the spanning-tree polynomials of graphs and, more generally, of the basis generating polynomials of certain classes of matroids.
Scott, AD, Sokal, AD, Scott, Alexander
core   +1 more source

Complete genuine multipartite entanglement monotone

Results in Physics, 2023
A complete characterization and quantification of entanglement, particularly the multipartite entanglement, remains an unfinished long-term goal in quantum information theory. As long as the multipartite system is concerned, the relation between the entanglement contained in different partitions or different subsystems need to take into account.
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Monotonicity properties of norms

, 1991
We consider several properties that might be described as “monotonicity” or “absoluteness” that a norm may or may not have and give a complete set of implications among them.
Johnson, Charles R., Nylen, Peter
core   +1 more source

Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean

Journal of Inequalities and Applications, 2016
In the article, we prove that the function r ↦ E ( r ) / S 9 / 2 − p , p ( 1 , r ′ ) $r\mapsto \mathcal{E}(r)/S_{9/2-p, p}(1, r')$ is strictly increasing on ( 0 , 1 ) $(0, 1)$ for p ≤ 7 / 4 $p\leq7/4$ and strictly decreasing on ( 0 , 1 ) $(0, 1)$ for p ∈
Zhen-Hang Yang, Yu-Ming Chu, Wen Zhang
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On Feasibility of Extrapolation of Completely Monotone Functions

SIAM Journal on Mathematical Analysis
40 pages, 1 ...
Henry J. Brown, Yury Grabovsky
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The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions

, 2006
A new proof for monotonicity and convexity of a function deduced from Kershaw’s inequality involving the Wallis’ function about the Euler’s gamma function is provided.
Qi, Feng
core  

Monotonicity rule for the quotient of two functions and its application

Journal of Inequalities and Applications, 2017
In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang, Wei-Mao Qian, Yu-Ming Chu, Wen Zhang   +3 more
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