Results 81 to 90 of about 18,359 (203)
Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Statistics in Medicine, Volume 45, Issue 10-12, May 2026.ABSTRACT For composite time‐to‐event outcomes, the win ratio as a relative measure ignores ties resulting from non‐occurrence of events, which can obscure important context in regression settings where event rates—and hence the proportion of ties—vary over time and across covariate values.
Lu Mao
wiley +1 more source
On the Values of the Weighted 𝑞-Zeta and 𝐿-Functions
Discrete Dynamics in Nature and Society, 2011 Recently, the modified 𝑞-Bernoulli numbers and polynomials are introduced in (D. V. Dolgy et al., in press). These numbers are valuable to study the weighted 𝑞-zeta and 𝐿-functions.
T. Kim +3 more
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Multi‐Level Variable Selection Using a BART‐Enhanced Mixed‐Effects Framework
Statistics in Medicine, Volume 45, Issue 10-12, May 2026.ABSTRACT Selecting important individual‐ and cluster‐level predictors has become increasingly critical in healthcare research, where data often exhibit hierarchical structures due to collection from multiple clusters. Mixed‐effects models, which account for within‐cluster correlation and between‐cluster heterogeneity, are a natural approach for ...
Keming Zhang +5 more
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Symmetric q-Bernoulli numbers and polynomials
Functiones et Approximatio Commentarii Mathematici, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Polynomials of Touchard Connected with the Bernoulli Numbers [PDF]
Canadian Journal of Mathematics, 1957 In a recent paper (4) Touchard has constructed a set of polynomials Ωn(z) such that(1),where after expansion of the left member Bm is replaced by Bm,,and(2).
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PUMAA: Establishing a protocol for utilizing machine learning in forensic anthropological analyses
Journal of Forensic Sciences, Volume 71, Issue 3, Page 1362-1381, May 2026.Abstract The use of machine learning (ML) models in forensic anthropology (FA) has increased in the last half decade; however, there is a lack of a standardized protocol on how to curate, use, and assess ML models. We introduce PUMAA (A Protocol for Utilizing Machine Learning in Forensic Anthropological Analyses), which includes a flowchart and a ...
Eman Faisal, Tracy L. Rogers
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Duals of Bernoulli Numbers and Polynomials and Euler Number and Polynomials
, 2015 A sequence inverse relationship can be defined by a pair of infinite inverse matrices. If the pair of matrices are the same, they define a dual relationship. Here presented is a unified approach to construct dual relationships via pseudo-involution of Riordan arrays.
He, Tian-Xiao, Zheng, Jinze
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Identification and Estimation of Large Network Games with Private Link Information
International Economic Review, Volume 67, Issue 2, Page 411-432, May 2026.ABSTRACT We study the identification and estimation of large network games in which individuals choose continuous actions while holding private information about their links and payoffs. Extending the framework of Galeotti et al., we build a tractable empirical model of such network games and show that the parameters in individual payoffs are ...
Hülya Eraslan, Xun Tang
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A new class of generalized polynomials associated with Hermite and Bernoulli polynomials
Le Matematiche, 2015 In this paper, we introduce a new class of generalized polynomials associated with the modified Milne-Thomson's polynomials Φ_{n}^{(α)}(x,ν) of degree n and order α introduced by Derre and Simsek.The concepts of Bernoulli numbers B_n, Bernoulli ...
M. A. Pathan, Waseem A. Khan
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