Results 251 to 260 of about 7,636,692 (302)

On a Local Limit Theorem for Lattice Distributions

Theory of Probability & Its Applications, 1957
Let sequence (1) of independent random variables assuming only integral values satisfy conditions (A) and (B). The following proposition is proved:In order for correlation (2) to hold true for a sequence differing from (1) only by a finite number of terms, it is necessary and sufficient for (3) to be satisfied.
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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   +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 Compound Discrete Distributions

Theory of Probability & Its Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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