학제간연구 | Interdisciplinary Studies in Gambling | 跨学科研究
- date : 2015-05-20 01:10|hit : 1400
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- Article] A model of finite-step random walk with absorbent boundaries
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DocNo of ILP: 3965
Doc. Type: Article
Title: A model of finite-step random walk with absorbent boundaries
Authors: Wang, XZ; Zhai, JH; Zhang, SF
Full Name of Authors: Wang, Xi-Zhao; Zhai, Jun-Hai; Zhang, Su-Fang
Keywords by Author: classical probability model; small sample; lattice random walk; random walk with finite-step restriction; optimal stop of random walk
Keywords Plus:
Abstract: This paper proposes a model of finite-step lattice random walk with absorbent boundaries. We address a problem of optimal stop for this model, which is defined as the absorbent boundary value with maximum profit. Compared with many existing optimal stop investigations in the random process, our study only considers the small-sample behaviour (i.e., small number of steps behaviour) and does not consider the limit behaviour of the walk. The optimal stop time is given based on classical probability computation. Since the small-sample is more practical and common than the large-sample in many real world problems, the result obtained in this paper may provide some useful guidelines for real applications associated with the finite-step random walk such as the stock market and gambling games.
Cate of OECD: Mathematics
Year of Publication: 2008
Business Area: game
Detail Business: game
Country: England
Study Area: invest, stock, modelingprobability, modeling, probability, computer engineering, computer
Name of Journal: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Language: English
Country of Authors: [Wang, Xi-Zhao; Zhai, Jun-Hai; Zhang, Su-Fang] Hebei Univ, Dept Math & Comp Sci, Baoding, Hebei Province, Peoples R China
Press Adress: Wang, XZ (reprint author), Hebei Univ, Dept Math & Comp Sci, Baoding, Hebei Province, Peoples R China.
Email Address: wangxz@mail.hbu.edu.cn
Citaion:
Funding: National Natural Science Foundation of China [60473045]; [04213533]
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Number of Citaion: 16
Publication: TAYLOR & FRANCIS LTD
City of Publication: ABINGDON
Address of Publication: 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
ISSN: 0020-7160
29-Character Source Abbreviation: INT J COMPUT MATH
ISO Source Abbreviation: Int. J. Comput. Math.
Volume: 85
Version: 11
Start of File: 1685
End of File: 1696
DOI: 10.1080/00207160701543400
Number of Pages: 12
Web of Science Category: Mathematics, Applied
Subject Category: Mathematics
Document Delivery Number: 358OR
Unique Article Identifier: WOS:000259927900007
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