Results 21 to 30 of about 676 (93)

Randomly Stopped Minimum, Maximum, Minimum of Sums and Maximum of Sums with Generalized Subexponential Distributions

Axioms
In this paper, we find conditions under which distribution functions of randomly stopped minimum, maximum, minimum of sums and maximum of sums belong to the class of generalized subexponential distributions.
Jūratė Karasevičienė, Jonas Šiaulys
doaj   +1 more source

Tail probabilities of St. Petersburg sums, trimmed sums, and their limit [PDF]

, 2015
We provide exact asymptotics for the tail probabilities $\mathbb{P} \{S_{n,r} > x\}$ as $x \to \infty$, for fix $n$, where $S_{n,r}$ is the $r$-trimmed partial sum of i.i.d. St. Petersburg random variables.
A Adler, A Gut, A Martin-Löf, C Klüppelberg, CM Goldie, DM Mason, FW Steutel, G Fukker, I Berkes, I Berkes, István Berkes, László Györfi, P Kern, Péter Kevei, R LePage, S Csörgő, S Csörgő, S Csörgő, S Foss, T Shimura, T Watanabe, VV Petrov, YS Chow   +22 more
core   +3 more sources

Gravitational Regge bounds

SciPost Physics
We review the basic assumptions and spell out the detailed arguments that lead to the bound on the Regge growth of gravitational scattering amplitudes.
Kelian Häring, Alexander Zhiboedov
doaj   +1 more source

Sparsification and subexponential approximation [PDF]

Acta Informatica, 2016
Instance sparsification is well-known in the world of exact computation since it is very closely linked to the Exponential Time Hypothesis. In this paper, we extend the concept of sparsification in order to capture subexponential time approximation. We develop a new tool for inapproximability, called approximation preserving sparsification and use it ...
Bonnet, Édouard, Paschos, Vangelis
openaire   +3 more sources

Second order subexponential distributions [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991
AbstractThe class of subexponential distributionsSis characterized byF(0) = 0, 1 −F(2)(x) ~ 2(1 −F(x)) asx→ ∞. In this paper we consider a subclass ofSfor which the relation 1 −F(2)(x) − 2(1 −F(x)) + (1 −F(x))2=o(a(x)) asx→ ∞ holds, where α is a positive function satisfying α(X) = 0(1 −F(x)) (x→ ∞).
Geluk, J. L., Pakes, A. G.
openaire   +2 more sources

On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley   +1 more source

Characterization of tails through hazard rate and convolution closure properties

, 2011
We use the properties of the Matuszewska indices to show asymptotic inequalities for hazard rates. We discuss the relation between membership in the classes of dominatedly or extended rapidly varying tail distributions and corresponding hazard rate ...
Anastasios G. Bardoutsos, Dimitrios G. Konstantinides, Konstantinides   +2 more
core   +1 more source

A Novel Form of Multiplicative Gamma Function and Its Analytical Properties

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour, Davron Aslonqulovich Juraev, Mohammed Z. Alqarni, Mohamed Abdalla, José M. Rodríguez   +4 more
wiley   +1 more source

Extension of the Risk Model From a Hawkes Variable Memory Process via the Spearman Copula

Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.
The ultimate ruin probability of an insurance company throughout its operating life remains and continues to be a major and very complex concern for the latter. Although this probability of ruin can be modeled using stochastic processes, its determination remains particularly complex.
Souleymane Badini, Frédéric Béré, Delwendé Abdoul-Kabir Kafando, Abdoul Karim Drabo, Ramón M. Rodríguez-Dagnino   +4 more
wiley   +1 more source

Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs

Random Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova, Marcus Pappik, Will Perkins, Corrine Yap   +3 more
wiley   +1 more source