Title :
The law of large numbers of ρ̃ mixing sequence
Author :
Ren, Quanyu ; Zhou, Xuejun
Author_Institution :
Fac. of Math. & Inf. Sci., Huanggang Normal Univ., Huanggang, China
Abstract :
Probability limit theory is not only the main branch of probability theory, but also an important basis to other branches and mathematical statistics. In this paper, we discuss the law of large numbers of ρ̃ mixing sequence. We introduce the Cesaro uniform integrability and the equivalent conditions for arrays of random variables. Then, under these conditions, we establish the weighted arrays of random variables in ρ̃ mixing sequence and the weak law of large numbers and the convergence of Lr.
Keywords :
convergence; number theory; probability; random processes; sequences; ρ̃ mixing sequence; Cesaro uniform integrability; convergence; equivalent conditions; large numbers; mathematical statistics; probability limit theory; probability theory; random variables; weighted arrays; Convergence; Electronic mail; Information science; Random variables; Tin; ρ̃ mixing sequence; Lr convergence; associated mixing sequence; complete convergence;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777397
