SOONER AND LATER WAITING TIME PROBLEMS FOR MARKOVIAN BERNOULLI TRIALS

被引：48

作者：

BALASUBRAMANIAN, K ^{[1
]}

VIVEROS, R ^{[1
]}

BALAKRISHNAN, N ^{[1
]}

机构：

[1] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON L8S 4K1,ONTARIO,CANADA

来源：

STATISTICS & PROBABILITY LETTERS | 1993年 / 18卷 / 02期

关键词：

FREQUENCY QUOTA; LATER WAITING TIME; MARKOVIAN BERNOULLI TRIALS; RUN QUOTA; SOONER WAITING TIME;

D O I：

10.1016/0167-7152(93)90184-K

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：

The waiting time problems introduced by Ebneshahrashoob and Sobel (1990) for independent trials are generalized to Markov correlated Bernoulli trials. A new waiting time problem arising due to mixed quotas is also discussed. A learning model is used as illustration.

引用

页码：153 / 161

页数：9

共 6 条

[1] A GENERALIZATION OF THE SOONER AND LATER WAITING TIME PROBLEMS FOR BERNOULLI TRIALS - FREQUENCY QUOTA
LING, KD
STATISTICS & PROBABILITY LETTERS, 1992, 14 (05) : 401 - 405
[2] Generalized sooner waiting time problems in a sequence of trinary trials
Eryilmaz, Serkan
Gong, Min
Xie, Min
STATISTICS & PROBABILITY LETTERS, 2016, 115 : 70 - 78
[3] Sooner waiting time problems in a sequence of multi-state trials with random rewards
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Kim, Jeongsim
STATISTICS & PROBABILITY LETTERS, 2019, 153 : 171 - 179
[4] On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials
Fu, JC
Chang, YM
JOURNAL OF APPLIED PROBABILITY, 2003, 40 (03) : 623 - 642
[5] Waiting Time Problems for Patterns in a Sequence of Multi-State Trials
Kim, Bara
Kim, Jeongsim
Kim, Jerim
MATHEMATICS, 2020, 8 (11) : 1 - 16
[6] On waiting time distribution of runs of ones or zeros in a Bernoulli sequence
Kim, Sungsu
Park, Chongjin
Oh, Jungtaek
STATISTICS & PROBABILITY LETTERS, 2013, 83 (01) : 339 - 344

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