Results 71 to 80 of about 32,513 (203)

Poles of Painlev\'e IV Rationals and their Distribution

open access: yes, 2018
We study the distribution of singularities (poles and zeros) of rational solutions of the Painlev\'e IV equation by means of the isomonodromic deformation method.
Masoero, Davide, Roffelsen, Pieter
core   +1 more source

From tetrachoric to kappa: How to assess reliability on binary scales

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source

Mellin transforms with only critical zeros: generalized Hermite functions [PDF]

open access: yes, 2013
We consider the Mellin transforms of certain generalized Hermite functions based upon certain generalized Hermite polynomials, characterized by a parameter $\mu>-1/2$.
Coffey, Mark W.
core  

Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function

open access: yesInternational Statistical Review, EarlyView.
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler   +3 more
wiley   +1 more source

A New Generating Function for Hermite Polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences
This paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
doaj   +1 more source

Generalized Hermite Polynomials and Monodromy-Free Schr\"odinger Operators

open access: yes, 2018
The paper gives a review of recent progress in the classification of monodromy-free Schr\"odinger operators with rational potentials. We concentrate on a class of potentials constituted by generalized Hermite polynomials.
Novokshenov, Victor Yu.
core   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

open access: yes, 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   +2 more
core   +1 more source

Reinforcement Learning for Jump‐Diffusions, With Financial Applications

open access: yesMathematical Finance, EarlyView.
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley   +1 more source

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

open access: yesDiscrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim   +2 more
doaj   +1 more source

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