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Dynamic Evolution and Convergence of the Coupled and Coordinated Development of Urban–Rural Basic Education in China [PDF]

open access: yesEntropy
Understanding the coupled and coordinated development of China’s urban and rural basic education systems is crucial for fostering their interaction and synergistic growth.
Fangyu Ju, Qijin Li, Zhiyong Chen
doaj   +2 more sources

Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws

open access: yesMathematics, 2022
The convergence rate in the famous Rényi theorem is studied by means of the Stein method refinement. Namely, it is demonstrated that the new estimate of the convergence rate of the normalized geometric sums to exponential law involving the ideal ...
Alexander Bulinski, Nikolay Slepov
doaj   +1 more source

The Investigation of the Discrete Universality of L-Functions of Elliptic Curves

open access: yesJaunųjų Mokslininkų Darbai, 2022
In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
doaj   +1 more source

Probability on Submetric Spaces

open access: yesAnnales Mathematicae Silesianae, 2023
A submetric space is a topological space with continuous metrics, generating a metric topology weaker than the original one (e.g. a separable Hilbert space with the weak topology).
Jakubowski Adam
doaj   +1 more source

Generalized Universality for Compositions of the Riemann Zeta-Function in Short Intervals

open access: yesMathematics, 2023
In the paper, the approximation of analytic functions on compact sets of the strip {s=σ+it∈C∣1 ...
Antanas Laurinčikas, Renata Macaitienė
doaj   +1 more source

Dependent Samples in Empirical Estimation of Stochastic Programming Problems

open access: yesAustrian Journal of Statistics, 2016
Stochastic optimization models are built with the assumption that the underlying probability measure is entirely known. This is not true in practice, however: empirical approximation or estimates are used instead.
Vlasta Kaňková, Michal Houda
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2015
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function. II

open access: yesLietuvos Matematikos Rinkinys, 2016
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

On a metric of the space of idempotent probability measures

open access: yesApplied General Topology, 2020
In this paper we introduce a metric on the space I(X) of idempotent probability measures on a given compact metric space (X; ρ), which extends the metric ρ. It is proven the introduced metric generates the pointwise convergence topology on I(X).
Adilbek Atakhanovich Zaitov
doaj   +1 more source

Uniform Convergence of Probability Measures: Topological Criteria

open access: yesJournal of Multivariate Analysis, 1994
The paper deals with the extensions of Polya's theorem. Uniform convergence of probability measures is analyzed by topologizing the space of events. A generic version of the results of the paper reads: narrow convergence to a \(\tau\)-continuous probability measure implies uniform convergence on every \(\tau\)-compact subclass of sets, where \(\tau ...
LUCCHETTI ROBERTO   +2 more
openaire   +3 more sources

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