摘要
研究了不同分布φ混合序列的一些收敛性质.得到了不同分布φ混合序列的完全收敛性,推广了独立同分布情形的结果.并且还将独立序列的Marcinkiewicz强大数定理推广到不同分布φ混合序列的相应定理.
Some convergence properties for φ-mixing sequences with different distributions were investigated. The complete convergence for φ-mixing sequences with different distributions was obtained, which generalized some previous known results for independent and identically distributed random variables. And the Marcinkiewicz strong law of large numbers for independent random variable sequences was extended to φ-mixing sequences with different distributions.
基金
Supported by the National Natural Science Foundation of China(11171001,11201001,11126176)
Talents Youth Fund of Anhui Province Universities(2010SQRL016ZD)
Academic Innovation Team of Anhui University(KJTD001B)
关键词
随机控制
Φ混合序列
强大数定理
stochastically dominated
φ-mixing sequences
strong law of large numbers
