A. de Moivre theorem revisited (Q2070624)
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scientific article; zbMATH DE number 7462381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A. de Moivre theorem revisited |
scientific article; zbMATH DE number 7462381 |
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A. de Moivre theorem revisited (English)
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24 January 2022
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The main results of this paper are large deviations estimates (in the operator form) for functions in the Banach algebra of complex-valued Borel functions with bounded essential supremum norm. These are applied in particular to give a generalisation of a local limit theorem, due to de Moivre, for binary-valued Markov chains.
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de Moivre theorem
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large deviations
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Cramér's series
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transition probability function
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Wallis' formula
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Perron-Frobenius theorem
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