Results 41 to 50 of about 322 (196)
On Odd Covers of Cliques and Disjoint Unions
ABSTRACT Babai and Frankl posed the “odd cover problem” of finding the minimum cardinality of a collection of complete bipartite graphs such that every edge of the complete graph of order n $n$ is covered an odd number of times. In a previous paper with O'Neill, some of the authors proved that this value is always ⌈ n / 2 ⌉ $\lceil n/2\rceil $ or ⌈ n /
Calum Buchanan +7 more
wiley +1 more source
The classical statement that ``limit laws are infinitely divisible'' can be formulated in terms of convolution semigroups of probability measures and then leads naturally to a problem for (commutative) topological semigroups S: if \(x\in S\) arises as the limit of an infinitesimal triangular array of elements of S can we then find, for every \(n\in ...
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Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
On Infinitely Divisible Random Vectors
A normally distributed random vector $X$ is well known to be representable by $A \cdot Y$ (in the sense of having identical distributions), where $A$ is a matrix of constants and $Y$ is a random vector whose component random variables are independent. A necessary and sufficient condition for any infinitely divisible random vector to be so representable
Dwass, Meyer, Teicher, Henry
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Abstract Internet of Medical Things (IoMT) has typical advancements in the healthcare sector with rapid potential proof for decentralised communication systems that have been applied for collecting and monitoring COVID‐19 patient data. Machine Learning algorithms typically use the risk score of each patient based on risk factors, which could help ...
Chandramohan Dhasaratha +9 more
wiley +1 more source
Self-Decomposability and the Lambert Law
The Lambert W is a Bernstein function and hence the cumulant function of a positive infinitely divisible law, the Lambert law L(Λ). The Lambert law is self-decomposable with a unit rate compound Poisson background driving Lévy process (BDLP) with a ...
Anthony G. Pakes
doaj +1 more source
A Class of Infinitely Divisible Mixtures
I X/(X h(t)) are considered. It will be shown that mixtures of cf's of type I are inf div if h(t) is such that X/(X h(t)) is a cf for all X > 0. The class of functions h(t) satisfying this condition will be determined. 2. Preliminaries. In our proof we will make use of the L6vy-Khinchine canonical representation: +(t) is an inf div cf if and only if (2)
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Abstract This paper investigates the role of semantic features of noun and adjective bases in determining the grammatical behaviour of Ancient Greek denominal and deadjectival verbs in *‐ye/o‐. The paper adopts a lexicalist framework (Rappaport Hovav & Levin 1998) and examines how the event schema, actionality, telicity and voice of derived verbs are ...
Carolina Marescotti
wiley +1 more source
CONTESTED METABOLIC NODES: Shareholding Cooperatives and Planetary Ruralization in China
Abstract China's recent shareholding cooperative (SC) reform heralds a shift from expropriation‐led rural change to a post‐expropriation regime in which the countryside is reconstituted through circulation, capitalization, and new forms of collective governance. Existing interpretations, whether framed as market‐driven de‐collectivization, state‐led re‐
Yong Zhang
wiley +1 more source
A General Result on Infinite Divisibility
Using and refining a technique developed by O. Thorin, we prove: THEOREM. Let $f(x) = C\cdot x^{\beta - 1} h(x), x > 0$, be a probability density on $(0, \infty)$. Here $\beta > 0$ and $h$ is continuous and satisfies $h(0) = 1$. Assume that $h$ can be analytically continued to the whole complex plane cut along the negative real axis and assume that $h$
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