Results 101 to 110 of about 1,563 (216)

Darboux's Formula with Integral Remainder of Functions with Two Independent Variables [PDF]

open access: yes, 2003
In the article, the noted Darboux’s formula of functions with single variable is generalized to that of functions of two independent variables with integral remainder, some important special cases of Darboux’s formula of functions with two variables are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core   +2 more sources

A Guide for Exploring Pleiotropic Associations in Genome‐Wide Association Studies Using Summary Statistics

open access: yesStatistics in Medicine, Volume 45, Issue 20-22, September 2026.
ABSTRACT Genome‐wide association studies (GWAS) have shown that pleiotropy, whereby a single genetic variant or gene influences multiple traits, is common in complex human diseases. Detecting cross‐phenotype associations from GWAS summary statistics remains challenging because of small effect sizes, extensive multiple testing, heterogeneous effects ...
Christina Y. Feng   +3 more
wiley   +1 more source

Nonparametric Assessment of the Calibration of Individualized Treatment Effects

open access: yesStatistics in Medicine, Volume 45, Issue 20-22, September 2026.
ABSTRACT An important aspect of the performance of algorithms that predict individualized treatment effects (ITEs) is moderate calibration, that is, the average treatment effect among individuals with predicted treatment effect of z being equal to z. The assessment of moderate calibration is a challenging task on two fronts: counterfactual responses ...
Mohsen Sadatsafavi   +3 more
wiley   +1 more source

A new construction on the q-Bernoulli polynomials

open access: yesAdvances in Difference Equations, 2011
This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised.
Bayad Abdelmejid   +4 more
doaj  

Family‐Wise Error Rate Control in Clinical Trials With Overlapping Populations

open access: yesStatistics in Medicine, Volume 45, Issue 20-22, September 2026.
ABSTRACT We consider clinical trials with multiple, overlapping patient populations that test multiple treatment policies specifically tailored to these populations. Such designs may lead to multiplicity issues, as false statements will affect several populations. For type I error control, often the family‐wise error rate (FWER) is controlled, which is
Remi Luschei, Werner Brannath
wiley   +1 more source

Explicit Formulas Involving -Euler Numbers and Polynomials

open access: yesAbstract and Applied Analysis, 2012
We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator.
Serkan Araci   +2 more
doaj   +1 more source

A note on Bernoulli numbers and polynomials of higher order [PDF]

open access: yesProceedings of the American Mathematical Society, 1952
(m)0 = 1, [m]t = (a™ - l)(a—» - 1) • • • (a»"**1 - 1), [m]0 = 1. In the following theorems p denotes an odd prime; the rational numbers a, u are integral (mod p) and p\a. We now state the following theorems.
openaire   +2 more sources

Bernoulli, poly-Bernoulli, and Cauchy polynomials in terms of Stirling and r-Stirling numbers [PDF]

open access: yes, 2022
We review and discuss some results on the representation of Bernoulli, poly-Bernoulli numbers, and Bernoulli and Cauchy polynomials in terms of Stirling numbers of the first or second kind, or in terms of r-Stirling numbers.Comment: 10 ...
Boyadzhiev, Khristo N.
core  

Fine‐tuning ab initio XANES spectra calculations using the Bayesian optimization algorithm

open access: yesJournal of Synchrotron Radiation, Volume 33, Issue 5, Page 1455-1466, September 2026.
A Bayesian optimization technique is used to tune the FEFF and FDMNES packages and to improve matching between theoretical and experimental spectra. The tests were performed on monometallic Ni, Fe and Pd K‐edge XANES spectra using several different spectrum similarity metrics.Theoretical modeling of X‐ray absorption near‐edge structure (XANES) spectra ...
Andrey A. Sapronov   +2 more
wiley   +1 more source

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