@article{(Open Science Index):https://publications.waset.org/pdf/15186,
	  title     = {On the Central Limit Theorems for Forward and Backward Martingales},
	  author    = {Yilun Shang},
	  country	= {},
	  institution	= {},
	  abstract     = {Let Xii≥1 be a martingale difference sequence with
Xi = Si - Si-1. Under some regularity conditions, we show that
(X2
1+· · ·+X2N
n)-1/2SNn is asymptotically normal, where Nii≥1
is a sequence of positive integer-valued random variables tending
to infinity. In a similar manner, a backward (or reverse) martingale
central limit theorem with random indices is provided.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {5},
	  number    = {4},
	  year      = {2011},
	  pages     = {637 - 640},
	  ee        = {https://publications.waset.org/pdf/15186},
	  url   	= {https://publications.waset.org/vol/52},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 52, 2011},
	}