A strong law of large numbers for triangular mixingale arrays

Statistics and Probability Letters

Volumn 27, Issue 1, 1996, Pages 1-9

  De Jong, Robert M ^a  

^a TILBURG UNIVERSITY   (Netherlands)

Author keywords

Dependent random variables; Kernel regression; Law of large numbers; Mixingale sequence; Strong law of large numbers; Triangular array

Indexed keywords

EID: 0030584394     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-7152(95)00036-4     Document Type: Article

References (17)

1. Andrews, D.W.K. (1988), Laws of large numbers for dependent non-identically distributed random variables, Econometric Theory 4, 458-467.
2. Azuma, K. (1967), Weighted sums of certain dependent random variables, Tokohu Math, J. 19, 357-367.
3. Bierens, H.J. (1983), Uniform consistency of kernel regression estimators of a regression function under generalized conditions, J. Amer. Statist. Assoc. 78, 699-707.
4. Bierens, H.J. (1994), Topics in Advanced Econometrics (Cambridge University Press, Cambridge).
5. Chung, K.L. (1974), A Course in Probability Theory (Academic Press, New York).
6. 1-convergence theorem for heterogeneous mixingale arrays with trending moments, Statist. Probab. Lett. 16, 301-306.
7. Davidson, J. (1994), Stochastic Limit Theory (Cambridge University Press, Cambridge).
8. 2-mixingale sequences, Working paper.
9. De Jong, R.M. (1995), Laws of large numbers for dependent heterogeneous processes, Working paper.
10. Gallant, A.R. and H. White (1988), A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models (Basil Blackwell, New York).
11. Hall, P. and C.C. Heyde (1980), Martingale Limit Theory and Its Applications (Academic Press, New York).
12. Hansen, B.E. (1991), Strong laws for dependent heterogeneous processes, Econometric Theory 7, 213-221.
13. Hansen, B.E. (1992), Strong laws for dependent heterogeneous processes. Erratum. Econometric Theory 8, 421-422.
14. McLeish, D.L. (1975), A maximal inequality and dependent strong laws, Ann. Probab. 3, 829-839.
15. Pötscher , B.M. and I.R. Prucha (1991), Basic structure of the asymptotic theory in dynamic nonlinear econometric models, part 1: consistency and approximation concepts, Econometric Rev. 10, 125-216.
16. Robinson, P.M. (1983), Nonparametric estimators for time series, J. Time Ser. Anal. 4, 185-207.
17. Teicher, H. (1985), Almost certain convergence in double arrays, Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 69, 331-345.