Jiguang Shao, Qiuyuan Wang, "Some Properties and Application of Bk(n; p)," WSEAS Transactions on Systems and Control, vol. 11, pp. 87-93, 2016, DOI:
Jiguang Shao, Qiuyuan Wang. Some Properties and Application of Bk(n; p).
WSEAS Transactions on Systems and Control. 2016;11:87-93.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 11, 2016
Some Properties and Application of Bk(n; p)
Authors: ,
Abstract: By the transition probability flow graphs methods, we considered the distribution Gk(p), and derived its probability generating function. Based on Gk(p), we came to the probability distribution of NBk(r; p) and showed the correlation between them. Following NBk(r; p), we got the distribution of Bk(n; p), and then we discussed its some properties including the mean and convergence. Finally, we employed the properties to study a reliability question.
Keywords:
distribution of order k, transition probability flow graphs, mean, probability generating function, reliability
Pages: 87-93 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 11, 2016, Art. #12 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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