Results 61 to 70 of about 32,202 (209)

More on the q-oscillator algebra and q-orthogonal polynomials

, 1995
Properties of certain $q$-orthogonal polynomials are connected to the $q$-oscillator algebra. The Wall and $q$-Laguerre polynomials are shown to arise as matrix elements of $q$-exponentials of the generators in a representation of this algebra.
Atakishiyev N, Atakishiyev N M, Atakishiyev N M, Biedenharn L C, Floreanini R, Floreanini R, Floreanini R, Floreanini R, Gasper G, J LeTourneux, Kalnins E G, Koekoek R, L Vinet, MacFarlane A J, R Floreanini, Zhedanov A S, Zhedanov A S   +16 more
core   +2 more sources

Sleep and cardiac autonomic modulation in older adults: Insights from an at‐home study with auditory deep sleep stimulation

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler, M. Laura Ferster, Luzius Brogli, Reto Huber, Walter Karlen, Caroline Lustenberger   +5 more
wiley   +1 more source

Poisson count time series

Journal of Time Series Analysis, EarlyView.
This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley   +1 more source

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

, 2017
The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia, Taşdelen, Fatma, Çekim, Bayram   +2 more
core   +1 more source

Multiple Changepoint Detection for Non‐Gaussian Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT This article combines methods from existing techniques to identify multiple changepoints in non‐Gaussian autocorrelated time series. A transformation is used to convert a Gaussian series into a non‐Gaussian series, enabling penalized likelihood methods to handle non‐Gaussian scenarios.
Robert Lund, Thomas J. Fisher, Norou Diawara, Michael Wehner   +3 more
wiley   +1 more source

Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials

Journal of Applied Mathematics, 2013
Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
doaj   +1 more source

Extension of Stein’s lemma derived by using an integration by differentiation technique

Examples and Counterexamples, 2022
We extend Stein’s lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein’s lemma, with the first being a rigorous proof by mathematical induction.
Konstantinos Mamis
doaj   +1 more source

Automated Residual Plot Assessment With the R Package autovi and the Shiny Application autovi.web

Australian &New Zealand Journal of Statistics, Volume 68, Issue 1, March 2026.
ABSTRACT Visual assessment of residual plots is a common approach for diagnosing linear models, but it relies on manual evaluation, which does not scale well and can lead to inconsistent decisions across analysts. The lineup protocol, which embeds the observed plot among null plots, can reduce subjectivity but requires even more human effort.
Weihao Li, Dianne Cook, Emi Tanaka, Susan VanderPlas, Klaus Ackermann   +4 more
wiley   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Sampling of non‐Gaussian Ensemble Average Propagators for the simulation of diffusion magnetic resonance images

Magnetic Resonance in Medicine, Volume 95, Issue 2, Page 1255-1265, February 2026.
Abstract Purpose (a) To design a methodology for drawing random samples of any Ensemble Average Propagator (EAP) (b) to modify the KomaMRI simulator to accommodate them as realistic spin movements to simulate diffusion MRI (dMRI) and (c) to compare these simulations with those based on the Diffusion Tensor (DT) model.
Justino R. Rodríguez‐Galván, Pablo Villacorta‐Aylagas, Susana Merino‐Caviedes, Federico Simmross‐Wattenberg, Carlos Castillo‐Passi, Pablo Irarrazaval, Antonio Tristán‐Vega, Carlos Alberola‐López   +7 more
wiley   +1 more source