Almost sure convergence of weighted sums

Statistica Sinica

Volumn 6, Issue 2, 1996, Pages 499-507

  Chen, Xiru ^a   Zhu, Li Xing ^a   Fang, Kai Tai ^a  

^a NONE

Author keywords

Almost sure convergence; Consistency; Linear regression

Indexed keywords

EID: 21344435912     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (4)

1. Azuma, K. (1967). Weighted sums of certain dependent random variables. Tôhoku Math. J. 19, 357-367.
2. Jamison, B., Orey, S. and Pruitt W. (1965). Convergence of weighted averages of independent random variables. Z. Wahrsch Verb Gebiete 4, 40-44.
3. Kolmos, J. and Revesz, P. (1964). On the weighted averages in independent random variables. Publ. Math. Inst. Hungar. Acad. Sci. 9, 583-587.
4. Zhu, L. X. (1989). Probability inequalities related to PP goodness-of-fit tests and other topics. Doctoral dissertation, Institute of Systems Sciences , Chinese Academy of Sciences, Beijing.