Necessary conditions in limit theorems for cumulative processes. (Q1766061)

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scientific article; zbMATH DE number 2138953
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Necessary conditions in limit theorems for cumulative processes.
scientific article; zbMATH DE number 2138953

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    Necessary conditions in limit theorems for cumulative processes. (English)
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    25 February 2005
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    The paper presents a study on a cumulative process and its asymptotic behaviour in law. The authors prove necessity for conditions earlier shown to be sufficient for a central limit theorem.
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    central limit theorem
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    Markov chain
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    regenerative process
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    cumulative process
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    random sums
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    law of large numbers
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