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Convergence rates in Erdös-Kac type invariance principle for some stationary sequences
作者: Shûya Kanagawa
DOI:
10.1007/BFB0072923
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参考文章
(12)
1.
Ken-ichi Yoshihara,
CONVERGENCE RATES OF THE INVARIANCE PRINCIPLE FOR ABSOLUTELY REGULAR SEQUENCES
The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学.
,vol. 27, pp. 49- 56 ,(1979)
2.
秀也 金川,
On the rate of convergence of the invariance principle for stationary sequences
Keio Science and Technology Reports.
,vol. 35, pp. 53- 61 ,(1982)
3.
Yutaka Kato,
Functional central limit theorem for stationary processes
Keio engineering reports.
,vol. 28, pp. 23- 39 ,(1975)
4.
Istvan Berkes, Walter Philipp,
Approximation Thorems for Independent and Weakly Dependent Random Vectors
Annals of Probability.
,vol. 7, pp. 29- 54 ,(1979) ,
10.1214/AOP/1176995146
5.
I. A. Ibragimov,
Some Limit Theorems for Stationary Processes
Theory of Probability & Its Applications.
,vol. 7, pp. 349- 382 ,(1962) ,
10.1137/1107036
6.
A. A. Borovkov,
On the Rate of Convergence for the Invariance Principle
Theory of Probability & Its Applications.
,vol. 18, pp. 207- 225 ,(1974) ,
10.1137/1118025
7.
Ryozo Yokoyama,
Moment bounds for stationary mixing sequences
Probability Theory and Related Fields.
,vol. 52, pp. 45- 57 ,(1980) ,
10.1007/BF00534186
8.
Stanley Sawyer,
A uniform rate of convergence for the maximum absolute value of partial sums in probability
Communications on Pure and Applied Mathematics.
,vol. 20, pp. 647- 658 ,(1967) ,
10.1002/CPA.3160200403
9.
Ken-ichi Yoshihara,
Probability inequalities for sums of absolutely regular processes and their applications
Probability Theory and Related Fields.
,vol. 43, pp. 319- 329 ,(1978) ,
10.1007/BF00534765
10.
A. V. Skorokhod,
Studies in the theory of random processes
Mugniram Bangur Memorial Engineering College, Jodhpur.
,(1965)
来源期刊
Lecture Notes in Mathematics
Springer Berlin Heidelberg
1983 年,
Volume: 1021, Issue: ,
Page: 279-288
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