Abstract The authors prove an almost sure central limit theorem for partial sums based on an irreducible and positive recurrent Markov chain using logarithmic means, which realizes the extension of the almost sure cen...Abstract The authors prove an almost sure central limit theorem for partial sums based on an irreducible and positive recurrent Markov chain using logarithmic means, which realizes the extension of the almost sure central limit theorem for partial sums from an i.i.d, sequence of random variables to a Markov chain.展开更多
基金supported by the National Natural Science Foundation of China (No. 11171275)the Program for Excellent Talents in Chongqing Higher Education Institutions (No. 120060-20600204)Liaocheng University Foundation (No. X09005)
文摘Abstract The authors prove an almost sure central limit theorem for partial sums based on an irreducible and positive recurrent Markov chain using logarithmic means, which realizes the extension of the almost sure central limit theorem for partial sums from an i.i.d, sequence of random variables to a Markov chain.