Elephant Random Walk with a Random Step Size and Gradually Increasing Memory and Delays
The ERW model was introduced twenty years ago to study memory effects in a one-dimensional discrete-time random walk with a complete memory of its past throughout a parameter <i>p</i> between zero and one. Several variations of the ERW model have recently been introduced. In this work, w...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/9/629 |
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| Summary: | The ERW model was introduced twenty years ago to study memory effects in a one-dimensional discrete-time random walk with a complete memory of its past throughout a parameter <i>p</i> between zero and one. Several variations of the ERW model have recently been introduced. In this work, we investigate the asymptotic normality of the ERW model with a random step size and gradually increasing memory and delays. In particular, we extend some recent results in this subject. |
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| ISSN: | 2075-1680 |