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A nonconventional local limit theorem [PDF]
Journal of Theoretical Probability, 2015 We extend local limit theorem type results to nonconventional sums of the form $S_N=\sum_{n=1}^NF(\xi_n,\xi_{2n},...,\xi_{\ell n})$.Comment: 23 ...
Hafouta, Yeor, Kifer, Yuri
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Local limit theorems without assuming finite third moment [PDF]
Journal of Inequalities and Applications, 2023 One of the most fundamental probabilities is the probability at a particular point. The local limit theorem is the well-known theorem that estimates this probability.
Punyapat Kammoo +2 more
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Local Limit Theorem for Randomly Deforming Billiards [PDF]
Communications in Mathematical Physics, 2020 We study limit theorems in the context of random perturbations of dispersing billiards in finite and infinite measure. In the context of a planar periodic Lorentz gas with finite horizon, we consider random perturbations in the form of movements and ...
Mark F. Demers +2 more
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A note on a local limit theorem for Wiener space valued random variables [PDF]
, 2016 We prove a local limit theorem, i.e. a central limit theorem for densities, for a sequence of independent and identically distributed random variables taking values on an abstract Wiener space; the common law of those random variables is assumed to be ...
Alberto Lanconelli, Aurel I. Stan
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Central and Local Limit Theorems for Numbers of the Tribonacci Triangle [PDF]
Mathematics, 2021 In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
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Local Limit Theorem for Complex-Valued Sequences [PDF]
Asymptotic Analysis, 2022 In this article, we study the pointwise asymptotic behavior of iterated convolutions on the one-dimensional lattice Z . We generalize the so-called local limit theorem in probability theory to complex-valued sequences.
Lucas Coeuret
semanticscholar +4 more sources
Local limit theorem for random walks on symmetric spaces [PDF]
Journal d'Analyse Mathematique, 2022 We reduce the local limit theorem for a non-compact semisimple Lie group acting on its symmetric space to establishing that a natural operator associated to the measure is quasicompact.
Constantin Kogler
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Local Limit Theorem for the Multiple Power Series Distributions
Mathematics, 2020 We study the behavior of multiple power series distributions at the boundary points of their existence. In previous papers, the necessary and sufficient conditions for the integral limit theorem were obtained.
Arsen L. Yakymiv
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An improvement of convergence rate in the local limit theorem for integral-valued random variables
Journal of Inequalities and Applications, 2021 Let X 1 , X 2 , … , X n $X_{1}, X_{2}, \ldots , X_{n}$ be independent integral-valued random variables, and let S n = ∑ j = 1 n X j $S_{n}=\sum_{j=1}^{n}X_{j}$ .
Tatpon Siripraparat, Kritsana Neammanee
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Local limit theorem in deterministic systems [PDF]
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2019 We show that for every ergodic and aperiodic probability preserving system, there exists a $\mathbb{Z}$ valued, square integrable function $f$ such that the partial sums process of the time series $\left\{f\circ T^i\right\}_{i=0}^\infty$ satisfies the ...
Kosloff, Zemer, Volny, Dalibor
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