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Distinguishing direct interactions from global epistasis using rank statistics. [PDF]

Proc Natl Acad Sci U S A
Carlson MO, Andrews BL, Simons YB.
europepmc   +1 more source

Novel extensions of k-harmonically convex functions and their applications in information science. [PDF]

PLoS One
Fahad A, Furuichi S, Ali Z, Wang Y.
europepmc   +1 more source

Weighting methods for truncation by death in cluster-randomized trials. [PDF]

Stat Methods Med Res
Isenberg D, Harhay MO, Mitra N, Li F.
europepmc   +1 more source

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Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function

Mathematica Slovaca, 2022
With the aid of convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the author presents decreasing property of ...
Feng Qi (祁锋)
semanticscholar   +1 more source

Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation

Comput. Methods Appl. Math., 2021
Time-fractional initial-boundary problems of parabolic type are considered. Previously, global error bounds for computed numerical solutions to such problems have been provided by Liao et al. (SIAM J. Numer. Anal. 2018, 2019) and Stynes et al.
Hu Chen, M. Stynes
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Some Absolutely Monotonic and Completely Monotonic Functions

SIAM Journal on Mathematical Analysis, 1974
The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Harry Pollard, Richard Askey
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Monotonicity and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function

, 2020
In the paper, by convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein's theorem for completely monotonic functions, and other analytic techniques, the authors (1) verify decreasing ...
Feng Qi (祁锋), Feng Qi (祁锋), Ling-Xiong Han, Hong-Ping Yin   +3 more
semanticscholar   +1 more source

Completely monotonic functions

Integral Transforms and Special Functions, 2001
In this expository article we survey some properties of completely monotonic functions and give various examples, including some famous special functions. Such function are useful, for example, in probability theory. It is known, [1, p.450], for example, that a function w is the Laplace transform of an infinitely divisible probability distribution on ...
Kenneth S. Miller, Stefan Samko
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Monotone Completions of the Fermion Algebra

The Quarterly Journal of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazuyuki Saitô, J. D. Maitland Wright
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