Title :
Strong stability of linear forms with identical distributed pairwise NQD random variables sequences
Author :
Xili Tan ; Aihua Xu
Author_Institution :
Inst. of Math., Beihua Univ., Jilin, China
Abstract :
We study the strong stability of linear forms of pairwise negatively quadrant dependent (NQD) identically distributed random variables sequence under some suitable conditions. We get a new result of strong stability of linear forms by the truncation in random variables, Borel-Cantelli lemma, the properties of pairwise NQD random variables sequence, and the law of large numbers of pairwise NQD random variables sequence under some suitable conditions. The results obtained extend and improve the corresponding theorem for independent identically distributed random variables sequence.
Keywords :
random processes; random sequences; Borel-Cantelli lemma; distributed pairwise NQD random variables sequence; linear form stability; negatively quadrant dependent variable sequence; Convergence; Educational institutions; Random sequences; Random variables; Silicon compounds; Stability analysis; linear forms; pairwise NQD random variables sequences; strong stability;
Conference_Titel :
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-719-1
DOI :
10.1109/MEC.2011.6025680