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Lithuanian Mathematical Transactions, 1974
Mitalauskas, A., Statulevičius, V.
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Mitalauskas, A., Statulevičius, V.
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Local Limit Theorems for Stable Limit Distributions
Theory of Probability & Its Applications, 1962Let (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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The Local Limit Theorem in the Reducible Case
2023Dmitry Dolgopyat, Omri M. Sarig
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On a Local Limit Theorem for Lattice Random Variables
Theory of Probability & Its Applications, 1964Yu. 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.
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Limit Theorems for $$\sigma $$-Localized Émery Convergence
Journal of Theoretical ProbabilityzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integro-Local Limit Theorems for Compound Renewal Processes under Cramér’S Condition. I
, 2018A. Borovkov, A. Mogulskii
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On the functional and local limit theorems for Markov modulated compound Poisson processes
, 2017Guo-Dong Pang, Yi Zheng
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