Results 1 to 10 of about 8,255 (178)
Bounds for the Rate of Convergence in the Generalized Rényi Theorem [PDF]
Mathematics, 2022 In the paper, an overview is presented of the results on the convergence rate bounds in limit theorems concerning geometric random sums and their generalizations to mixed Poisson random sums, including the case where the mixing law is itself a mixed ...
Victor Korolev
doaj +2 more sources
Mathematics, 2023 This paper considers a generalization of the Rényi theorem to the case of a structural distribution with a scale parameter. In terms of the zeta metric, some estimates of the convergence rate in the generalized Rényi theorem are obtained when the ...
Alexey Kudryavtsev, Oleg Shestakov
doaj +2 more sources
A Rényi-Type Limit Theorem on Random Sums and the Accuracy of Likelihood-Based Classification of Random Sequences with Application to Genomics [PDF]
Mathematics, 2023 We study classification of random sequences of characters selected from a given alphabet into two classes characterized by distinct character selection probabilities and length distributions.
Leonid Hanin, Lyudmila Pavlova
doaj +2 more sources
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
doaj +1 more source
Mathematics, 2021 We investigate the efficiency of several types of continued fraction expansions of a number in the unit interval using a generalization of Lochs theorem from 1964.
Dan Lascu, Gabriela Ileana Sebe
doaj +1 more source
Central limit theorem for the principal eigenvalue and eigenvector of Chung–Lu random graphs
Journal of Physics: Complexity, 2023 A Chung–Lu random graph is an inhomogeneous Erdős–Rényi random graph in which vertices are assigned average degrees, and pairs of vertices are connected by an edge with a probability that is proportional to the product of their average degrees ...
Pierfrancesco Dionigi +4 more
doaj +1 more source
On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
Mathematics, 2021 We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
doaj +1 more source
Thermodynamics of exponential Kolmogorov–Nagumo averages
New Journal of Physics, 2023 This paper investigates generalized thermodynamic relationships in physical systems where relevant macroscopic variables are determined by the exponential Kolmogorov–Nagumo average.
Pablo A Morales +2 more
doaj +1 more source
Interlace polynomials of friendship graphs
Electronic Journal of Graph Theory and Applications, 2018 In this paper, we study the interlace polynomials of friendship graphs, that is, graphs that satisfy the Friendship Theorem given by Erdös, Rényi and Sos.
Christina Eubanks-Turner, Aihua Li
doaj +1 more source
Theory of Ergodic Quantum Processes
Physical Review X, 2021 The generic behavior of quantum systems has long been of theoretical and practical interest. Any quantum process is represented by a sequence of quantum channels.
Ramis Movassagh, Jeffrey Schenker
doaj +1 more source