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ON OCCURRENCES OF F-S STRINGS IN LINEARLY AND CIRCULARLY ORDERED BINARY SEQUENCES
被引：0
|作者：
Makri, Frosso S.
[1
]
机构：
[1] Univ Patras, Dept Math, Patras 26500, Greece
关键词：
Distribution of order (k(1);
k(2));
linear and circular binary sequences;
exchangeable trial;
Poisson trial;
urn model;
records;
runs;
POISSON APPROXIMATIONS;
SUCCESS RUNS;
DISTRIBUTIONS;
NUMBER;
POLYA;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计];
C8 [统计学];
学科分类号：
020208 ;
070103 ;
0714 ;
摘要：
Consider a sequence of exchangeable or independent binary trials ordered on a line or on a circle. The statistics denoting the number of times an F-S string of length (at least) k(1) + k(2), that is, (at least) k(1) failures followed by (at least) k(2) successes in it such trials, are studied. The associated waiting time for the rth occurrence of an F-S string of length (at least) k(1) + k(2) in linearly ordered trials is also examined. Exact formulae, lower/upper bounds and approximations are derived for their distributions. Mean values and variances of the number of occurrences of F-S strings are given in exact formulae too. Particular exchangeable and independent sequences of binary random variables, used in applied research, combined with numerical examples clarify further the theoretical results.
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页码：157 / 178
页数：22
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