| 1 |
McLeish D L . A maximal inequality and dependent strong laws. Ann Probab, 1975, 3, 829- 839
doi: 10.1214/aop/1176996269
|
| 2 |
McLeish D L . Invariance principles for dependent variables. Z Wahr Verw Gebiete, 1975, 32, 165- 178
doi: 10.1007/BF00532611
|
| 3 |
McLeish D L . On the invariance principle for nonstationary mixingales. Ann Probab, 1977, 5, 616- 621
doi: 10.1214/aop/1176995772
|
| 4 |
Hall P , Heyde C C . Martingale Limit Theory and Its Applications. New York: Academic Press, 1980
|
| 5 |
Andrews D W K . Laws of large numbers for dependent non-identically distributed random variables. Econometric Theory, 1988, 4, 458- 467
doi: 10.1017/S0266466600013396
|
| 6 |
Davidson J . An L1-convergence theorem for heterogeneous mixingale arrays with moments. Statist Probab Lett, 1993, 16, 301- 306
doi: 10.1016/0167-7152(93)90134-5
|
| 7 |
Davidson J , De Jong R M . Strong laws of large numbers for dependent heterogeneous processes:a synthesis of recent and new results. Econometric Rev, 1997, 16, 251- 279
doi: 10.1080/07474939708800387
|
| 8 |
De Jong R M . Laws of large numbers for dependent heterogeneous processes. Econometric Theory, 1995, 11, 347- 358
doi: 10.1017/S0266466600009208
|
| 9 |
De Jong R M . A strong law of large numbers for triangular mixingale arrays. Statist Probab Lett, 1996, 27, 1- 9
doi: 10.1016/0167-7152(95)00036-4
|
| 10 |
De Jong R M . Central limit theorems for dependent heterogeneous random variable. Econometric Theory, 1997, 13, 353- 367
doi: 10.1017/S0266466600005843
|
| 11 |
De Jong R M . Weak laws of large numbers for dependent random variables. Annales Déconomie Et De Statistique, 1998, 51, 209- 225
|
| 12 |
Fazekas I , Klesov O . A general approach to the strong laws of large numbers. Theory Probab Appl, 2002, 45, 436- 449
|
| 13 |
Gan S . On the convergence of weighted sums of Lq-mixingale arrays. Acta Math Hungar, 1999, 82, 113- 120
doi: 10.1023/A:1026445923796
|
| 14 |
Hansen B E . Strong laws for dependent heterogeneous processes. Econometric Theory, 1991, 7, 213- 221
doi: 10.1017/S0266466600004412
|
| 15 |
Hansen B E . Erratum:"Strong laws for dependent heterogeneous processes". Econometric Theory, 1992, 8, 421- 422
doi: 10.1017/S0266466600013128
|
| 16 |
Hong D H , Kim H K , Kim J Y . A weak convergence theorem for mixingale arrays. J Korean Statist Soc, 1995, 24, 273- 280
|
| 17 |
Meng Y , Lin Z Y . Maximal inequalities and laws of large numbers for Lq-mixingale arrays. Statist Probab Lett, 2009, 79, 1539- 1547
doi: 10.1016/j.spl.2009.03.018
|
| 18 |
Qiu D H , Chen P Y , Andrei V . Complete moment convergence for Lp-mixingale. Acta Math Sci, 2017, 37B (5): 1319- 1330
|
| 19 |
Lin Z , Bai Z . Probability Inequalities. Beijing: Science Press, 2010
|
),Ju Yang1,Yanchun Yi2