The uniform laws of large numbers for the tent map |
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| Authors: | Jongsig Bae Changha Hwang Doobae Jun |
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| Affiliation: | 1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;2. Department of Statistics, Dankook University, Gyeonggido 448-701, Republic of Korea |
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| Abstract: | The tent map is an ergodic map defined on the unit interval. This paper considers the asymptotic behaviors of the various processes generated by the tent map. We get the uniform versions of law of large numbers for the tent map. An application to Monte Carlo integration is provided. |
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