Results 261 to 270 of about 7,331,913 (294)

The Local Limit Theorem for Cocycles

2016
We prove a Local Limit Theorem with moderate deviations for cocycles over a contracting action.
Yves Benoist, Jean-François Quint
openaire   +1 more source

Local Limit Theorems for Stable Limit Distributions

Theory of Probability & Its Applications, 1962
Let (1) be a sequence of independent integer valued random variables. One says that for sequence (1) the local limit theorem is true in strong form if for each sequence which differs from (1) in only a finite number of terms relation (3) is fulfilled. We prove the following theorem: Condition (4) is necessary and sufficient that for the sequence (1) of
openaire   +1 more source

On local limit theorems. I

Lithuanian Mathematical Transactions, 1974
Mitalauskas, A., Statulevičius, V.
openaire   +3 more sources

Local Limit Theorems for Densities in Orlicz Spaces

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Local Limit Theorem

2023
Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng   +4 more
openaire   +1 more source

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}
openaire   +1 more source

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 ...
openaire   +1 more source

The Local Limit Theorem in the Reducible Case

2023
Dmitry Dolgopyat, Omri M. Sarig
openaire   +1 more source

Richter’s local limit theorem, its refinement, and related results*

Lithuanian Mathematical Journal, 2023
Friedrich Götze
exaly  

Local limit theorems in Lp

Mathematical Notes of the Academy of Sciences of the USSR, 1974
openaire   +2 more sources