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Generalized Dirichlet distributions on the ball and moments
The geometry of unit $N$-dimensional $\ell_{p}$ balls has been intensively investigated in the past decades. A particular topic of interest has been the study of the asymptotics of their projections. Apart from their intrinsic interest, such questions have applications in several probabilistic and geometric contexts (Barthe et al. 2005). In this paper,
Barthe, Franck +3 more
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A stochastic diffusion process for Lochner's generalized Dirichlet distribution [PDF]
The method of potential solutions of Fokker-Planck equations is used to develop a transport equation for the joint probability of N stochastic variables with Lochner's generalized Dirichlet distribution [R. H. Lochner, “A generalized Dirichlet distribution in Bayesian life testing,” J. R. Stat. Soc. Ser.
Bakosi, J., Ristorcelli, J. R.
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ABSTRACT This study explores how circular economy (CE) principles are incorporated in construction‐related policy roadmaps worldwide, addressing the growing need for effective resource strategies in a highly material‐intensive sector. National strategic CE documents from 57 countries were analyzed using natural language processing techniques, and then ...
Aidana Tleuken +5 more
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ABSTRACT Widespread digital adoption has challenged our understanding of how these tools reshape collaboration, trust and sustainability outcomes across different institutional and network contexts. As networks now pursue resilience and sustainable development in parallel, we map emerging research directions and identify how collaboration and ...
Ari Carisza Graha Prasetia +1 more
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ABSTRACT Social media platforms today have become essential for consumer‐brand interactions, with visual content playing a pivotal role in shaping engagement and brand perception. Although text‐based user‐generated content (UGC) has been widely studied, the potential of visual UGC, particularly in the travel, tourism and hospitality (TTH) sector ...
Chinchu Abraham +2 more
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ABSTRACT This study theorises and empirically tests performative purpose alignment theory (PPAT), which conceptualises corporate purpose as a performative artefact materialised through discursive and multimodal signals. To operationalise this, we introduced the SDG–Purpose Alignment Index (SPAI), a computational construct that quantifies the thematic ...
Augustine Okeke, Ifeanyi Ugbebor
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Generalized Rank Dirichlet distributions
We study a new parametric family of distributions on the ordered simplex $\nabla^{d-1} = \{y \in \mathbb{R}^d: y_1 \geq \dots \geq y_d \geq 0, \sum_{k=1}^d y_k = 1\}$, which we call Generalized Rank Dirichlet (GRD) distributions. Their density is proportional to $\prod_{k=1}^d y_k^{a_k-1}$ for a parameter $a = (a_1,\dots,a_d) \in \mathbb{R}^d ...
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Navigating Paradoxes for Strategic Business Models: Toward Shared Automated Vehicles in Europe
ABSTRACT How can paradoxical tensions in the integration of shared automated vehicles in Europe be navigated to build sustainable business models? Prior research often separates economic, social, and environmental dimensions, overlooking how their interdependencies generate tensions across organizational levels.
Denise Feldmann +3 more
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Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
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In machine learning-based fractional cover estimation, the fractional cover distribution in training samples critically influences model construction and, consequently the accuracy of the estimations.
Rujia Wang, Chen Shi
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