Results 1 to 10 of about 60,583 (165)
Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws
Mathematics, 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
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Probability on Submetric Spaces
Annales 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
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The Investigation of the Discrete Universality of L-Functions of Elliptic Curves
Jaunųjų 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
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Generalized Universality for Compositions of the Riemann Zeta-Function in Short Intervals
Mathematics, 2023 In the paper, the approximation of analytic functions on compact sets of the strip {s=σ+it∈C∣1 ...
Antanas Laurinčikas, Renata Macaitienė
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Dependent Samples in Empirical Estimation of Stochastic Programming Problems
Austrian 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
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A discrete limit theorem for the periodic Hurwitz zeta-function
Lietuvos 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
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A discrete limit theorem for the periodic Hurwitz zeta-function. II
Lietuvos 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
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On a metric of the space of idempotent probability measures
Applied 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
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A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function
Nonlinear Analysis, 2007 In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.
A. Laurinčikas
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Existence and Convergence of Probability Measures in Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1970 Theorems of the Bochner-Sazonov type are proved for Banach spaces with a basis. These theorems give sufficient conditions of a topological nature under which a positive definite function is the characteristic functional of a probability measure. The conditions are, in a certain natural sense, best possible.
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