Results 41 to 50 of about 854 (209)
Infinite Divisibility and Max-Infinite Divisibility with Random Sample Size
Continuing the study reported in Satheesh (2001),(math.PR/0304499 dated 01 May 2003) and Satheesh (2002)(math.PR/0305030 dated 02May 2003), here we study generalizations of infinitely divisible (ID) and max-infinitely divisible (MID) laws. We show that these generalizations appear as limits of random sums and random maximums respectively.
Satheesh, S., Sandhya, E.
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False paradoxes: the first faces of the infinity concept in the context of mathematical science
The paper presents the results of a theoretical research that studied the infinity and the relation of this mathematical concept with the false paradoxes given by Zeno, contrary to atomistic conception of time and space. More specifically, we studied the
Gisele de Lourdes Monteiro +1 more
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Discrete New Generalized Pareto Distribution
In this paper we propose a discrete analogue of New Generalized Pareto distribution as a new discrete model using general approach of discretization of continuous distribution. The structural properties of the new distribution are discussed.
Kuttan Pillai Jayakumar, Jiji Jose
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PlantGFM: A Genomic Foundation Model for Discovery and Creation of Plant Genes
A plant genomic foundation model pre‐trained on 12 species enables both accurate gene prediction and de novo gene design. Through AI‐human knowledge screening, seven designed sequences showed transcriptional activity in plants, with two expressing stable proteins—demonstrating the first DNA‐RNA‐protein expression of LLM‐generated genes in plants and ...
Changhao Li +10 more
wiley +1 more source
On quasi-infinite divisibility, limit theorems and signatures [PDF]
In this thesis we investigate three main interconnected topics that lie in the interface between probability theory and mathematical statistics. They are quasi-infinite divisibility, limit theorems and signatures.
Passeggeri, Riccardo
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Hume, realism, and the infinite divisibility of space [PDF]
In A Treatise of Human Nature, David Hume offers arguments against the infinite\ud divisibility of space. Some commentators have offered interpretations of these arguments suggesting that a label of ???realist??? or ???materialist??? might apply to Hume??
Feinstein, Kenneth Alexander
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Simulation of Infinitely Divisible Random Fields [PDF]
Two methods to approximate infinitely divisible random fields are presented. The methods are based on approximating the kernel function in the spectral representation of such fields, leading to numerical integration of the respective integrals. Error bounds for the approximation error are derived and the approximations are used to simulate certain ...
Wolfgang Karcher +2 more
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Advanced Experiment Design Strategies for Drug Development
Wang et al. analyze 592 drug development studies published between 2020 and 2024 that applied design of experiments methodologies. The review surveys both classical and emerging approaches—including Bayesian optimization and active learning—and identifies a critical gap between advanced experimental strategies and their practical adoption in ...
Fanjin Wang +3 more
wiley +1 more source
Equivalence of Infinitely Divisible Distributions
If $F$ is an infinitely divisible distribution function without a Gaussian component whose Levy spectral measure $M$ is absolutely continuous and $M(\mathbb{R}^1\backslash\{0\}) = \infty$, then $F$ is shown to have an a.e. positive density over its support; this support of $F$ is always an interval of the form $(-\infty, \infty), (-\infty, a\rbrack$ or
Hudson, William N., Tucker, Howard G.
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Abstract This study addresses the gap in rigorous evaluation of inclusive Citizenship Education methods in reducing gender and socioeconomic inequalities in political self‐efficacy. This article tests the effectiveness of two pedagogical approaches: counter‐narratives and think‐pair‐share.
Bryony Hoskins +2 more
wiley +1 more source

