Results 261 to 270 of about 7,636,692 (302)

Local Limit Theorems for Large Deviations

Theory of Probability & Its Applications, 1957
Let $(X_j ),j = 1,2, \cdots $, be a sequence of independent random variables with the distribution functions $V_j (x)$. We assume the existence of ${\bf D}X_j = \sigma _j^2 ,s_n^2 = \sum\nolimits_{j = 1}^n {\sigma _j^2 } ,{\bf E}X_j = 0,j = 1,2, \cdots $. We put \[ Z_n = \sum\limits_{j = 1}^n X_j /s_n .
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A Local Limit Theorem for Moderate Deviations

Bulletin of the London Mathematical Society, 2001
The author establishes a uniform estimate for the mass function \(P(S_m =y)\) of an integer-valued random walk when \(y\to\infty\) and \((y-m\mu)/ \sqrt{m} \to \infty,\) where \(\mu\) is the mean of the step distribution. The assumptions are that the mass function \(p\) of the step distribution is regularly varying at \(\infty\) with \(-\kappa\), where
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A Local Limit Theorem for Random Strict Partitions

Theory of Probability & Its Applications, 2000
The authors consider a set of partitions of a natural number \(n\) on distinct summands with uniform distribution. They investigate the limit shape of the typical partition as \(n\to\infty\), which was found by \textit{A. M. Vershik} [Funct. Anal. Appl. 30, 90--105 (1996); translation from Funkts. Anal. Prilozh. 30, No. 2, 19--39 (1996; Zbl 0868.05004)]
Vershik, A. M., Freĭman, G. A., Yakubovich, Yu. V.   +2 more
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On the rate of conveergence in the local limit theorem for densities

Journal of Mathematical Sciences, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korolev, V. Yu., Zhukov, Yu. V.
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Local Limit Theorems for Functionals of Random Processes

Theory of Probability & Its Applications, 1989
The author proved the convergence in variation of functionals in random processes by using the method described in his earlier paper, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova, 142, 48-54 (1985; Zbl 0618.60038); English translation in J. Sov. Math. 36, 468-473 (1987).
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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
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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
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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, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng   +4 more
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