Strassen-type invariance principles for exchangeable sequences |
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| Institution: | 1. Department of Applied Mathematics, National Sun Yat-sen University, Taiwan;2. Department of Biostatistics, Columbia University, New York, NY, USA;1. Institute of Statistics, Graz University of Technology, Graz, Austria;2. The Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary;3. Department of Mathematics, University of Utah, Salt Lake City, UT, USA;4. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ontario, Canada |
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| Abstract: | We prove strong invariance principles for exchangeable sequences of real random variables. Under the same conditions as those used for the central limit theorem, we obtain Strassen's invariance principle. |
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