학제간연구 | Interdisciplinary Studies in Gambling | 跨学科研究
- date : 2015-05-20 01:10|hit : 1484
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- Article] A note on occurrence of gapped patterns in i.i.d. sequences
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DocNo of ILP: 3957
Doc. Type: Article
Title: A note on occurrence of gapped patterns in i.i.d. sequences
Authors: Pozdnyakov, V
Full Name of Authors: Pozdnyakov, Vladimir
Keywords by Author: gapped pattern; structured motif; waiting time; martingale; gambling
Keywords Plus: WAITING TIME DISTRIBUTIONS; MARTINGALE APPROACH; MULTISTATE TRIALS; STRUCTURED MOTIFS; COMPOUND PATTERNS; GAMBLING TEAMS; PROBABILITY
Abstract: A new martingale technique is developed to find formulas for the expected value and generating function of the waiting time until one observes a gapped pattern (or a structured motif) in an i.i.d. sequence of random letters from a finite alphabet. (c) 2007 Elsevier B.V. All rights reserved.
Cate of OECD: Mathematics
Year of Publication: 2008
Business Area: gamble
Detail Business: gamble
Country: Netherlands
Study Area:
Name of Journal: DISCRETE APPLIED MATHEMATICS
Language: English
Country of Authors: Univ Connecticut, Dept Stat, Storrs, CT 06269 USA
Press Adress: Pozdnyakov, V (reprint author), Univ Connecticut, Dept Stat, 215 Glenbrook Rd,U-4120, Storrs, CT 06269 USA.
Email Address: vladimir.pozdnyakov@uconn.edu
Citaion:
Funding:
Lists of Citation: Fu JC, 2006, ANN I STAT MATH, V58, P291, DOI 10.1007/s10463-006-0038-8; Fu JC, 2002, J APPL PROBAB, V39, P70; Gerber H. U., 1981, Stochastic Processes & their Applications, V11, DOI 10.1016/0304-4149(81)90025-9; Glaz J, 2006, J APPL PROBAB, V43, P127, DOI 10.1239/jap/1143936248; Hopcroft JE, 2001, INTRO AUTOMATA THEOR; LI SYR, 1980, ANN PROBAB, V8, P1171, DOI 10.1214/aop/1176994578; NUEL G, 2006, ALGORITHMS MOL BIOL, V1; NUEL G, 2006, DISTRIBUTION PATTERN; Pozdnyakov V, 2006, AM MATH MON, V113, P134; Pozdnyakov V, 2005, ANN I STAT MATH, V57, P21, DOI 10.1007/BF02506876; Robin S, 2002, J COMPUT BIOL, V9, P761, DOI 10.1089/10665270260518254; Stefanov VT, 2007, DISCRETE APPL MATH, V155, P868, DOI 10.1016/j.dam.2005.07.016; Williams D., 1991, PROBABILITY MARTINGA
Number of Citaion: 13
Publication: ELSEVIER SCIENCE BV
City of Publication: AMSTERDAM
Address of Publication: PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
ISSN: 0166-218X
29-Character Source Abbreviation: DISCRETE APPL MATH
ISO Source Abbreviation: Discret Appl. Math.
Volume: 156
Version: 1
Start of File: 93
End of File: 102
DOI: 10.1016/j.dam.2007.08.026
Number of Pages: 10
Web of Science Category: Mathematics, Applied
Subject Category: Mathematics
Document Delivery Number: 239BS
Unique Article Identifier: WOS:000251493600009
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