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Karp et al. (1988) described Deferred Data Structures for Multisets as "lazy" data structures which partially sort data to support online rank and select queries, with the minimum amount of work in the worst case over instances of size $n$…

Data Structures and Algorithms · Computer Science 2016-10-03 Jérémy Barbay , Carlos Ochoa , Srinivasa Rao Satti

The paper is devoted to the problem of resonances in one-dimensional disordered systems. Some of the previous results are reviewed and a number of new ones is presented. These results pertain to different models (continuous as well as…

Disordered Systems and Neural Networks · Physics 2015-06-04 Evgeni Gurevich , Boris Shapiro

By introducing the notion of relative derangements of type $B$, also called signed relative derangements, which are defined in terms of signed permutations, we obtain a type $B$ analogue of the well-known relation between relative…

Combinatorics · Mathematics 2007-08-28 William Y. C. Chen , Jessica C. Y. Zhang

The theory of convergent graph sequences has been worked out in two extreme cases, dense graphs and bounded degree graphs. One can define convergence in terms of counting homomorphisms from fixed graphs into members of the sequence…

Combinatorics · Mathematics 2010-02-02 Christian Borgs , Jennifer Chayes , Jeff Kahn , László Lovász

The purpose of this paper is to define statistically convergent sequences with respect to the metrics on generalized metric spaces (g-metric spaces) and investigate basic properties of this statistical form of convergence.

General Topology · Mathematics 2021-03-10 Rasoul Abazari

We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey…

Functional Analysis · Mathematics 2015-09-30 Ekrem Savas , Stuti Borgohain

We study convergence almost everywhere of sequences of Schr\"odinger means. We also replace sequences by uncountable sets.

Analysis of PDEs · Mathematics 2019-05-15 Sjölin , Per , Strömberg , Jan-Olov

We provide the analytic forms of the distributions for the sum of ordered spacings. We do this both for the case where the boundaries are included in the calculation of the spacings and the case where they are excluded. Both the probability…

Statistics Theory · Mathematics 2020-08-06 Lolian Shtembari , Allen Caldwell

Spatial confounding is a persistent challenge in spatial statistics, influencing the validity of statistical inference in models that analyze spatially-structured data. The concept has been interpreted in various ways but is broadly defined…

The Riesz distribution for real normed division algebras is derived in this work. Then two versions of these distributions are proposed and some of their properties are studied.

Statistics Theory · Mathematics 2015-06-02 Jose A. Diaz-Garcia

The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications of a full convergence $\mathbb{c}$ on a Riesz space. The first…

Functional Analysis · Mathematics 2020-11-30 Abdullah Aydın , Eduard Emelyanov , Svetlana Gorokhova

In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically…

Functional Analysis · Mathematics 2015-01-29 Liang Hong

We describe a framework to build distances by measuring the tightness of inequalities, and introduce the notion of proper statistical divergences and improper pseudo-divergences. We then consider the H\"older ordinary and reverse…

Machine Learning · Computer Science 2017-04-05 Frank Nielsen , Ke Sun , Stéphane Marchand-Maillet

In this paper, we introduce a convergence notion for ordered selections. Our convergence notion is based on subpermutation densities and convergences of the marginal distributions. A particular case of this convergence is the well-known…

Probability · Mathematics 2025-11-18 B. Fazekas , I. Fazekas

The spectral deferred correction (SDC) method is class of iterative solvers for ordinary differential equations (ODEs). It can be interpreted as a preconditioned Picard iteration for the collocation problem. The convergence of this method…

Numerical Analysis · Mathematics 2021-11-03 Gitte Kremling , Robert Speck

A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and…

General Topology · Mathematics 2007-05-23 R Anguelov , O. F. K. Kalenda

In this paper, we study the (strongly) deferred Ces\`{a}ro conull FK-spaces and we give some characterizations. We also apply these results to summability domains.

Functional Analysis · Mathematics 2022-12-26 İlhan Daǧadur , Şeyda Sezgek

Closed-form expressions for the distributions of the order statistics on the spacings between order statistics for the uniform distribution are obtained. This generalizes a result by Fisher concerning tests of significance in the harmonic…

Statistics Theory · Mathematics 2019-09-17 Iosif Pinelis

In this paper, we introduce some new $I_\lambda$-lacunary statistically convergent sequence spaces of order $\alpha$ defined by a Musielak-Orlicz function. We study some relations between $I_\lambda$-lacunary statistically convergence with…

Functional Analysis · Mathematics 2016-03-23 Adem Kılıçman , Stuti Borgohain

Ranking distributions according to a stochastic order has wide applications in diverse areas. Although stochastic dominance has received much attention, convex order, particularly in general dimensions, has yet to be investigated from a…

Methodology · Statistics 2025-01-15 Jakwang Kim , Young-Heon Kim , Yuanlong Ruan , Andrew Warren