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A Central Limit Theorem of Branching Process with Mixing Interactions

A Central Limit Theorem of Branching Process with Mixing Interactions
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摘要 In this paper, we discuss a class of branching processes which generalize the classical Galton-Watson processes: we permit some mixing dependence between the offspring in the same generation. A central limit theorem is established and the Hausdorff dimension on such kind of branching process is given. In this paper, we discuss a class of branching processes which generalize the classical Galton-Watson processes: we permit some mixing dependence between the offspring in the same generation. A central limit theorem is established and the Hausdorff dimension on such kind of branching process is given.
出处 《Wuhan University Journal of Natural Sciences》 CAS 2002年第3期261-266,共6页 武汉大学学报(自然科学英文版)
基金 SupportedbytheNationalNaturalScienceFoundationofChina(199710 64 )
关键词 Key words mixing dependent Galton Watson process Hausdorff dimension Key words mixing dependent Galton Watson process Hausdorff dimension
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