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Strong Laws of Large Numbers for Random Walks in Random Sceneries 被引量：1

Strong Laws of Large Numbers for Random Walks in Random Sceneries
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摘要 In this paper, we study strong laws of large numbers for random walks in random sceneries. Some mild sufficient conditions for the validity of strong laws of large numbers are obtained. In this paper, we study strong laws of large numbers for random walks in random sceneries. Some mild sufficient conditions for the validity of strong laws of large numbers are obtained.
作者 Wen-sheng Wang
机构地区 Department of Statistics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第3期495-500,共6页 应用数学学报（英文版）
基金 the National Natural Science Foundation of China(No.10401037) Doctoral Program Foundation of the Ministry of Education of China(No.20060269016)
关键词 Random walk in random scenery law of large numbers Random walk in random scenery, law of large numbers
分类号 O211.5 [理学—概率论与数理统计]
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参考文献11

  • 1Bolthausen, E. A central limit theorem for two-dimensional random walks in random sceneries. Ann. Probab., 17:108-115 (1989)
  • 2Csaki, E., KSnig, W., Shi, Z. An embedding for the Kesten-Spitzer random walk in random scenery. Stoch. Process. Appl., 82:283-292 (1999)
  • 3Kesten, H., Spitzer, F. A limit theorem related to a new class of self-similar process. Z. Wahrsch. verw. Gebiete, 50:5-25 (1979)
  • 4Khoshnevisan, D., Lewis, T.M. A law of the iterated logarithm for stable processes in random scenery. Stoch. Process. Appl., 74:89-121 (1998)
  • 5Lewis, T.M. A self normalized law of the iterated logarithm for random walk in random scenery. J. Theoret. Probab., 5:629-659 (1992)
  • 6Lewis, T.M. A law of the iterated logarithm for random walk in random scenery with deterministic normalizers. J. Theoret. Probab., 6:209-230 (1993)
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  • 8Taqqu, M.S. Weak convergence to fractional Brownian motion and to the Rosenblatt process. Z. Wahrsch. verw. Gebiete, 31:287-302 (1975)
  • 9Wang, W. Weak convergence to fractional Brownian motion in Brownian motion. Probab. Th. Their Fields, 126:203-220 (2003)
  • 10Zhang, L.X. Strong approximation for the generalied Kesten-Spitzer random walk of independent scenery. Science in China, 31:230-241 (2001)

引证文献1

Acta Mathematicae Applicatae Sinica
2007年 第3期

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