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pro vyhledávání: '"A, Pratelli"'
Let $X=(X_1,\ldots,X_p)$ be a $p$-variate random vector and $F$ a fixed finite set. In a number of applications, mainly in genetics, it turns out that $X_i\in F$ for each $i=1,\ldots,p$. Despite the latter fact, to obtain a knockoff $\widetilde{X}$ (
Externí odkaz:
http://arxiv.org/abs/2410.09835
Autor:
Gambicchia, Chiara, Pratelli, Aldo
We prove the sharp quantitative isoperimetric inequality in the case of the barycentric asymmetry, for bounded sets. This generalizes the $2$-D case recently proved in~\cite{BCH}.
Externí odkaz:
http://arxiv.org/abs/2405.18138
Estimation and goodness-of-fit testing for positive random variables with explicit Laplace transform
Many flexible families of positive random variables exhibit non-closed forms of the density and distribution functions and this feature is considered unappealing for modelling purposes. However, such families are often characterized by a simple expre
Externí odkaz:
http://arxiv.org/abs/2405.15041
Autor:
Basili, Marcello, Pratelli, Luca
In Basili and Pratelli (2024), a novel and coherent concept of interval probability measures has been introduced, providing a method for representing imprecise probabilities and uncertainty. Within the framework of set algebra, we introduced the conc
Externí odkaz:
http://arxiv.org/abs/2404.15484
Let $\alpha_n(\cdot)=P\bigl(X_{n+1}\in\cdot\mid X_1,\ldots,X_n\bigr)$ be the predictive distributions of a sequence $(X_1,X_2,\ldots)$ of $p$-dimensional random vectors. Suppose $$\alpha_n= \mathcal{N} _p (M_n,Q_n)$$ where $M_n=\frac{1}{n}\sum_{i=1}^
Externí odkaz:
http://arxiv.org/abs/2403.16828
For U.S. presidential elections, most states use the so-called winner-take-all system, in which the state's presidential electors are awarded to the winning political party in the state after a popular vote phase, regardless of the actual margin of v
Externí odkaz:
http://arxiv.org/abs/2402.18664
With the primary goal of raising readers' awareness of misinformation phenomena, extensive efforts have been made by both academic institutions and independent organizations to develop methodologies for assessing the trustworthiness of online news pu
Externí odkaz:
http://arxiv.org/abs/2402.18621
Autor:
Pratelli, Aldo, Saracco, Giorgio
Publikováno v:
J. Math. Pures Appl. (9), 2024
We prove a lower bound for the Cheeger constant of a cylinder $\Omega\times (0,L)$, where $\Omega$ is an open and bounded set. As a consequence, we obtain existence of minimizers for the shape functional defined as the ratio between the first Dirichl
Externí odkaz:
http://arxiv.org/abs/2402.09864
Autor:
Basili, Marcello, Pratelli, Luca
This paper introduces a novel concept of interval probability measures that enables the representation of imprecise probabilities, or uncertainty, in a natural and coherent manner. Within an algebra of sets, we introduce a notion of weak complementat
Externí odkaz:
http://arxiv.org/abs/2402.02556
The proliferation of low-quality online information in today's era has underscored the need for robust and automatic mechanisms to evaluate the trustworthiness of online news publishers. In this paper, we analyse the trustworthiness of online news me
Externí odkaz:
http://arxiv.org/abs/2401.01781