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On local limit theorems. I

Lithuanian Mathematical Transactions, 1974
Mitalauskas, A., Statulevičius, V.
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Local Limit Theorems for Densities in Orlicz Spaces

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local Limit Theorem

2023
Zhen-Qing Chen   +4 more
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A Note on the Local Limit Theorem for Large Deviations

Theory of Probability & Its Applications, 1991
An answer to the question whether the Cramér condition is necessary for the local limit theorem for large deviations is given in the following: Let \(\{X_ i\}^ \infty_{i=1}\) be a sequence of i.i.d. r.v.s, \(EX_ 1=0\), \(DX_ 1=1\), \(S_ n={1\over\sqrt n}\sum^ n_{i=1} X_ i\), then \[ p_ n(x)={1\over\sqrt{2\pi}}\exp\left\{-{x^ 2\over 2}+{x^ 3\over\sqrt n}
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On a Local Limit Theorem for Lattice Random Variables

Theory of Probability & Its Applications, 1964
Yu. V. Prokhorov made a conjecture that the two statements are equivalent: (a) the local limit theorem is applicable to a sequence of integer-valued random variables, (b) these variables obey the central limit theorem and their sums are asymptotically uniformly distributed modulo h for arbitrary h.We give an example showing that the above conjecture ...
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Local limit theorems for occupancy models

Random Structures and Algorithms, 2021
Nathan Ross, Peter Braunsteins
exaly  

The Local Limit Theorem in the Reducible Case

2023
Dmitry Dolgopyat, Omri M. Sarig
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Local limit theorems for complex functions on Z d

Journal of Mathematical Analysis and Applications, 2023
Evan Randles
exaly  

Large deviation local limit theorems and limits of biconditioned planar maps

Annals of Applied Probability, 2023
Cyril Marzouk, Igor Kortchemski
exaly  

Local limit theorems in Lp

Mathematical Notes of the Academy of Sciences of the USSR, 1974
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