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Journal articles on the topic 'Laws of the iterated logarithm of Chung type'

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Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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1

Deheuvels, P. "Chung-type functional laws of the iterated logarithm for tail empirical processes." Annales de l'Institut Henri Poincare (B) Probability and Statistics 36, no. 5 (September 2000): 583–616. http://dx.doi.org/10.1016/s0246-0203(00)00143-6.

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2

Tudor, Ciprian A., and Yimin Xiao. "Sample paths of the solution to the fractional-colored stochastic heat equation." Stochastics and Dynamics 17, no. 01 (December 15, 2016): 1750004. http://dx.doi.org/10.1142/s0219493717500046.

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Let [Formula: see text] be the solution to the linear stochastic heat equation driven by a fractional noise in time with correlated spatial structure. We study various path properties of the process [Formula: see text] with respect to the time and to the space variable, respectively. In particular, we derive exact uniform moduli of continuity and Chung-type laws of iterated logarithm.
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3

Cai, Guang-hui. "Chover-type laws of the iterated logarithm for weighted sums of ρ∗-mixing sequences." Journal of Applied Mathematics and Stochastic Analysis 2006 (April 5, 2006): 1–7. http://dx.doi.org/10.1155/jamsa/2006/65023.

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To derive a Baum-Katz-type result, we establish a Chover-type law of the iterated logarithm for the weighted sums of ρ∗-mixing and identically distributed random variables with a distribution in the domain of a stable law. Our result obtained not only generalizes the main results of Peng and Qi (2003) and Qi and Cheng (1996) to ρ∗-mixing sequences of random variables, but also improves them.
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4

Einmahl, Uwe, and David M. Mason. "A Universal Chung-Type Law of the Iterated Logarithm." Annals of Probability 22, no. 4 (October 1994): 1803–25. http://dx.doi.org/10.1214/aop/1176988484.

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5

Zheng Yan, Lin, and Lin Zheng Yan. "A self-normalized Chung type law of the iterated logarithm." Teoriya Veroyatnostei i ee Primeneniya 41, no. 4 (1996): 934–42. http://dx.doi.org/10.4213/tvp3285.

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6

Guo, Xiaofan, Shan Li, and Xinpeng Li. "On the laws of the iterated logarithm with mean-uncertainty under sublinear expectations." Probability, Uncertainty and Quantitative Risk 7, no. 1 (2022): 1. http://dx.doi.org/10.3934/puqr.2022001.

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<p style='text-indent:20px;'>A new Hartman–Wintner-type law of the iterated logarithm for independent random variables with mean-uncertainty under sublinear expectations is established by the martingale analogue of the Kolmogorov law of the iterated logarithm in classical probability theory.</p>
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7

Choi, Yong-Kab, Zhenyan Lin, and Wensheng Wang. "CHUNG-TYPE LAW OF THE ITERATED LOGARITHM OF l∞-VALUED GAUSSIAN PROCESSES." Journal of the Korean Mathematical Society 46, no. 2 (March 31, 2009): 347–61. http://dx.doi.org/10.4134/jkms.2009.46.2.347.

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8

Kesten, Harry. "A universal form of the Chung-type law of the iterated logarithm." Annals of Probability 25, no. 4 (October 1997): 1588–620. http://dx.doi.org/10.1214/aop/1023481104.

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9

Wang, Wen-sheng. "Chung-type law of the iterated logarithm for continuous time random walk." Acta Mathematicae Applicatae Sinica, English Series 33, no. 4 (October 2017): 959–66. http://dx.doi.org/10.1007/s10255-017-0711-0.

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10

Wang, Wen Sheng, and Li Xin Zhang. "Chung–type Law of the Iterated Logarithm on lp–valued Gaussian Processes." Acta Mathematica Sinica, English Series 22, no. 2 (September 5, 2005): 551–60. http://dx.doi.org/10.1007/s10114-005-0580-y.

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11

Peng, Liang, and Yongcheng Qi. "Chover-type laws of the iterated logarithm for weighted sums." Statistics & Probability Letters 65, no. 4 (December 2003): 401–10. http://dx.doi.org/10.1016/j.spl.2003.08.009.

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12

Pang, Tian-Xiao, Tian-Xiao Pang, Zheng-Yan Lin, and Zheng-Yan Lin. "A nonclassical Chung-type law of the iterated logarithm for i.i.d. random variables." Teoriya Veroyatnostei i ee Primeneniya 51, no. 4 (2006): 816–21. http://dx.doi.org/10.4213/tvp30.

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13

Hwang, Kyo-Shin, and Wensheng Wang. "Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks." Journal of Applied Mathematics 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/906373.

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A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws.
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14

Lin, Zhengyan, Wensheng Wang, and Yong-Kab Choi. "Strassen-type Laws of Iterated Logarithm for a Fractional Brownian Sheet." Stochastic Analysis and Applications 22, no. 1 (January 2004): 193–210. http://dx.doi.org/10.1081/sap-120028030.

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15

Shao, Qi-Man. "A Chung type law of the iterated logarithm for subsequences of a Wiener process." Stochastic Processes and their Applications 59, no. 1 (September 1995): 125–42. http://dx.doi.org/10.1016/0304-4149(95)00025-3.

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16

Pang, T. X., and Z. Y. Lin. "A Nonclassical Chung-Type Law of the Iterated Logarithm for Independent Identically Distributed Random Variables." Theory of Probability & Its Applications 51, no. 4 (January 2007): 723–29. http://dx.doi.org/10.1137/s0040585x97982761.

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17

Pingyan, Chen. "Limiting behavior of delayed sums under a non-identically distribution setup." Anais da Academia Brasileira de Ciências 80, no. 4 (December 2008): 617–25. http://dx.doi.org/10.1590/s0001-37652008000400003.

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We present an accurate description the limiting behavior of delayed sums under a non-identically distribution setup, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji (Theory of Probability and its Applications, 37 (1992), 534-542).
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18

Cai, Guang-hui. "Chover-type laws of the iterated logarithm for weighted sums of NA sequences." Mathematica Bohemica 132, no. 1 (2007): 27–33. http://dx.doi.org/10.21136/mb.2007.133994.

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19

Wang, Wensheng. "Laws of the iterated logarithm of Chover-type for operator stable Lévy processes." Statistics & Probability Letters 92 (September 2014): 17–25. http://dx.doi.org/10.1016/j.spl.2014.04.025.

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20

Wu, Qunying, and Yuanying Jiang. "Chover-type laws of the k-iterated logarithm for ρ˜-mixing sequences of random variables." Journal of Mathematical Analysis and Applications 366, no. 2 (June 2010): 435–43. http://dx.doi.org/10.1016/j.jmaa.2009.12.059.

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21

Trapani, Lorenzo. "Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences." Journal of Mathematical Analysis and Applications 420, no. 2 (December 2014): 908–16. http://dx.doi.org/10.1016/j.jmaa.2014.06.042.

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22

Wang, Wensheng, and Anwei Zhu. "Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction." Discrete Dynamics in Nature and Society 2018 (August 1, 2018): 1–9. http://dx.doi.org/10.1155/2018/8968947.

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Let X={Xi,i≥1} be a sequence of real valued random variables, S0=0 and Sk=∑i=1kXi (k≥1). Let σ={σ(x),x∈Z} be a sequence of real valued random variables which are independent of X’s. Denote by Kn=∑k=0nσ(⌊Sk⌋) (n≥0) Kesten-Spitzer random walk in random scenery, where ⌊a⌋ means the unique integer satisfying ⌊a⌋≤a<⌊a⌋+1. It is assumed that σ’s belong to the domain of attraction of a stable law with index 0<β<2. In this paper, by employing conditional argument, we investigate large deviation inequalities, some sufficient conditions for Chover-type laws of the iterated logarithm and the cluster set for random walk in random scenery Kn. The obtained results supplement to some corresponding results in the literature.
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23

Shiozawa, Yuichi, and Jian Wang. "Martingale Nature and Laws of the Iterated Logarithm for Markov Processes of Pure-Jump Type." Journal of Theoretical Probability, September 3, 2020. http://dx.doi.org/10.1007/s10959-020-01035-8.

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24

Lee, Cheuk Yin, and Yimin Xiao. "Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields." Bernoulli 29, no. 1 (February 1, 2023). http://dx.doi.org/10.3150/22-bej1467.

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