The largest table in Chinese restaurant processes |
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Authors: | XinXing Chen JianGang Ying |
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Affiliation: | (1) School of Mathematical Sciences, Peking University, Beijing, 100871, China;(2) School of Mathematical Sciences, Fudan University, Shanghai, 200433, China |
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Abstract: | In this paper, we investigate the expectation of the size of the largest table in an (α, θ)-Chinese restaurant process by using and developing an idea originated in the work by Shepp, which discusses random permutation. This work was supported by National Natural Science Foundation of China (Grant No. 10671036) and the National Basic Research Program of China (Grant No. 2007CB814904) |
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Keywords: | Chinese restaurant process Poisson process |
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