Results 101 to 110 of about 2,081 (228)

Novel Distance Regression for Repeated Outcomes With Missing Data: Applications to Longitudinal and Crossover Studies of Microbiome Beta‐Diversity

Statistics in Medicine, Volume 45, Issue 15-17, July 2026.
ABSTRACT The human microbiome plays a crucial role in health, but understanding its dynamic relationship with the host requires regular monitoring. Beyond challenges such as high dimensionality and sparsity, additional complexities arise, particularly within‐cluster correlation from repeated measures and pervasive missing data. To address these issues,
Jinyuan Liu, Ke Xu, Jane F. Ferguson, Kaidi Kang, Yue Wang, Yuqi Qiu, Lucy Shao, Shengjia Tu, Tanya T. Nguyen, Tuo Lin, Xinlian Zhang   +10 more
wiley   +1 more source

A New Approach to -Bernoulli Numbers and -Bernoulli Polynomials Related to -Bernstein Polynomials

Advances in Difference Equations, 2010
We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet, Erdal Dilek, Araci Serkan   +2 more
doaj  

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

Advances in Difference Equations, 2010
We investigate some interesting properties of Bernstein polynomials associated with boson p-adic integrals on Zp.
Kim T., Kim M.-S., Lee B., Ryoo C.-S.
openaire   +5 more sources

A Mixture of Distributed Lag Non‐Linear Models to Account for Spatially Heterogeneous Exposure‐Lag‐Response Associations

Statistics in Medicine, Volume 45, Issue 15-17, July 2026.
ABSTRACT Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non‐linear exposure‐lag‐response relationships and delayed impacts over time. Accurately capturing these dynamics is crucial for informing public health interventions.
Álvaro Briz‐Redón, Ana Corberán‐Vallet, Adina Iftimi, Carmen Íñiguez   +3 more
wiley   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source

Identities associated with Milne–Thomson type polynomials and special numbers

Journal of Inequalities and Applications, 2018
The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
doaj   +1 more source

Adaptive Sequential Multiple Hypotheses Testing for Concomitant Vaccine Safety Surveillance

Statistics in Medicine, Volume 45, Issue 15-17, July 2026.
ABSTRACT When multiple vaccines are simultaneously recommended, a statistical method to monitor adverse events accounting for multiple combinations of vaccine exposure rather than each vaccine individually is preferred. We introduce an adaptive multiple hypotheses test method for rapidly detecting increased risks of adverse events from one or more ...
Ivair R. Silva, Lily Wang, Judith C. Maro   +2 more
wiley   +1 more source

Evaluation of cauchy polynomials via degenerate r-Stirling numbers

Mathematical and Computer Modelling of Dynamical Systems
In this paper, within the framework of unsigned degenerate [Formula: see text]-Stirling numbers, we establish connections among Cauchy polynomials, degenerate Bernoulli polynomials, and degenerate hyperharmonic numbers.
Zhuoyu Chen, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

Anharmonic polynomial generalizations of the numbers of Bernoulli and Euler [PDF]

Transactions of the American Mathematical Society, 1922
We consider twelve infinite systems of polynomials in z which for z = 1 degenerate either to the numbers of Bernoulli or Euler, or to others simply dependent upon these. The first part proceeds from the definition of anharmonic polynomials to the specific twelve systems discussed; the second presents an adaptation of the symbolic calculus of Blissard ...
openaire   +1 more source