Results 51 to 60 of about 8,311,668 (271)
Orthogonal polynomials on the negative multinomial distribution
AbstractOrthogonal polynomials on the multivariate negative binomial distribution, (1 + Θ)−α−x(πj=0pΘjxjxj!) Γ(α + x)Γ(α) where α > 0, Θ1 > 0, x = Σ Θi, x0, x1, …, xp = 0,1, … are constructed and their properties studied.
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Empirical Bayes method in the study of traffic safety via heterogeneous negative multinomial model [PDF]
In the study of traffic safety, expected crash frequencies across sites are generally estimated via the negative binomial model, assuming time invariant safety.
Simon P. Washington +4 more
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Objective Systemic lupus erythematosus (SLE) significantly impacts employment capacity. This study aimed to investigate the impact of burden of disease activity, damage, and treatment on employment outcomes and transitions in patients with SLE. Methods Using data from a single center, we analyzed employment transitions, adjusted mean disease activity ...
Javier Mencia‐Ledo +4 more
wiley +1 more source
This study applies a Bayesian hierarchical multinomial model to examine the functional distribution of the English word ‘that’ in learner-corpus data.
Xiyang Li +4 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti +16 more
wiley +1 more source
Background It has been recognised that more evidence about important aspects of family members’ sense of security during palliative care is needed. The objectives of the study was: i) to discover what variables are associated with family members feeling ...
Anna Milberg +2 more
doaj +1 more source
A removable sacrificial polymer layer engineers the thermal boundary condition during nanosecond laser ablation of PET, suppressing heat‐affected‐zone formation without relying on costly ultrafast lasers. This strategy enables deep, high‐aspect‐ratio trenches with no detectable heat‐affected zone, templating silver‐filled mesh electrodes with record ...
Mehdi Zarei +3 more
wiley +1 more source
Which negative multinomial distributions are infinitely divisible?
A general class of negative multinomial distributions on \(\mathbb N_0^n\) is defined by its probability generating functions to be of the form \((A(a_1,\dots,a_n)/A(a_1z_1,\dots,a_nz_n))^\lambda\) for some \(\lambda>0\) and some function \( A(\mathbf z)=\sum_{T\subset\{1,\dots,n\}}a_T\prod_{i\in T}z_i\).
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