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A large deviation principle for bootstrapped sample means |
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| Authors: | Deli Li Andrew Rosalsky Dhaifalla K Al-Mutairi |
| Institution: | Department of Mathematics & Statistics, Lakehead University, Thunder Bay, Ontario, Canada P7B 5E1 ; Department of Statistics, University of Florida, P.O. Box 118545, Gainesville, Florida 32611 ; Department of Statistics & Operations Research, Kuwait University, P.O. Box 21, Khaldiya 72461, Kuwait |
| Abstract: | A large deviation principle for bootstrapped sample means is established. It relies on the Bolthausen large deviation principle for sums of i.i.d. Banach space valued random variables. The rate function of the large deviation principle for bootstrapped sample means is the same as the classical one. |
| Keywords: | Bootstrapped sample means large deviation principle Banach space valued random variables |
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