Results 231 to 240 of about 7,132,026 (272)

A LOCAL LIMIT THEOREM FOR CONTINUED FRACTIONS

Stochastics and Dynamics, 2010
It is shown that functionals of digits in continued fraction expansion satisfy either the DeMoivre–Gnedenko or the Shepp–Stone limit theorems if and only if their marginals are in the domain of attraction of the normal law.
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APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS

Stochastics and Dynamics, 2004
We establish conditions for aperiodicity of cocycles (in the sense of [12]), obtaining, via a study of perturbations of transfer operators, conditional local limit theorems and exactness of skew-products. Our results apply to a large class of Markov and non-Markov interval maps, including beta transformations.
Zweimueller, R, Aaronson, J, Sarig, O, Denker, M   +3 more
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Local Limit Theorems

1975
We consider a sequence of independent random variables {X n ; n = 1, 2,…). We shall suppose for simplicity that these variables have a common distribution with zero mean and nonzero variance σ2 < ∞. If \({S_n} = \sum\limits_{j = 1}^n {{X_j}}\) and \({F_n}\left( x \right) = P\left( {{S_n} < x\sigma \sqrt n } \right)\), the assumptions imply that F n (x)
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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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