ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (3): 287-295.

• Articles • Previous Articles Next Articles

ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

Long Hongwei

Institute of Mathematical Sciences, Academia Sinica, Wuhan 430071, China

Received:1994-03-17 Revised:1994-09-14 Online:1996-09-25 Published:1996-09-25
Supported by:
Research supported by the National Natural Science Foundation of China.

Abstract

Long Hongwei. ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES[J].Acta mathematica scientia,Series B, 1996, 16(3): 287-295.

[1]	SUN Jian Qiang, DING Yi Ming. RATE OF CONVERGENCE AND EXPANSION OF RÉNYI ENTROPIC CENTRAL LIMIT THEOREM [J]. Acta mathematica scientia,Series B, 2015, 35(1): 79-88.
[2]	GAO Zhi-Qiang, LIU Quan-Sheng, WANG He-Song. CENTRAL LIMIT THEOREMS FOR A BRANCHING RANDOM WALK WITH A RANDOM ENVIRONMENT IN TIME [J]. Acta mathematica scientia,Series B, 2014, 34(2): 501-512.
[3]	GAO Zhen-Long, HU Xiao-Yu. LIMIT THEOREMS FOR A GALTON-WATSON PROCESS IN THE I.I.D. RANDOM ENVIRONMENT [J]. Acta mathematica scientia,Series B, 2012, 32(3): 1193-1205.
[4]	HU Yao-Zhong, Nualart David, XIAO Wei-Lin, ZHANG Wei-Guo. EXACT MAXIMUM LIKELIHOOD ESTIMATOR FOR DRIFT FRACTIONAL BROWNIAN MOTION AT DISCRETE OBSERVATION [J]. Acta mathematica scientia,Series B, 2011, 31(5): 1851-1859.
[5]	XIA Hong-Qiang, SHAN Da-Yao. A MULTIDIMENSIONAL CENTRAL LIMIT THEOREM WITH SPEED OF CONVERGENCE FOR AXIOM A DIFFEOMORPHISMS [J]. Acta mathematica scientia,Series B, 2011, 31(3): 1123-1132.
[6]	MAO Ming-Zhi, LI Zhi-Min. ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM \|ENVIRONMENT WITH HOLDING TIMES [J]. Acta mathematica scientia,Series B, 2010, 30(5): 1696-1708.
[7]	XIA Hong-Qiang. LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS [J]. Acta mathematica scientia,Series B, 2010, 30(3): 701-712.
[8]	Yang Qiaohua; Zhang Qin. THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2)) [J]. Acta mathematica scientia,Series B, 2007, 27(4): 867-874.
[9]	LIN Zheng-Tan. ASYMPTOTIC NORMALITY OF KERNEL ESTIMATES OF A DENSITY FUNCTION UNDER ASSOCIATION DEPENDENCE [J]. Acta mathematica scientia,Series B, 2003, 23(3): 345-.

ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 9

Metrics

Comments

Recommended 10