Sooner and later waiting time problems for runs in markov dependent bivariate trials

Annals of the Institute of Statistical Mathematics

Volumn 51, Issue 1, 1999, Pages 17-29

  Aki, Sigeo ^a   Hirano, Katuomi ^b  

^a OSAKA UNIVERSITY   (Japan)

^b INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

Author keywords

Discrete distributions; Probability generating function; Run; Waiting time problem

Indexed keywords

EID: 6544274852     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003874900507     Document Type: Article

References (12)

1. Aki, S., Balakrishnan, N. and Mohanty, S. G. (1996). Sooner and later waiting time problems and failure runs in higher order Markov dependent trials, Ann. Inst. Statist. Math., 48, 773-787.
2. Aki, S. and Hirano, K. (1993). Discrete distributions related to succession events in a two-state Markov chain, Statistical Science & Data Analysis (eds. K. Matusita, M. L. Puri and T. Hayakawa), 467-474, VSP Publishers, Amsterdam.
3. Balakrishnan, N., Balasubramanian, K. and Viveros, R. (1995). Start-up demonstration tests under correlation and corrective action, Naval Res. Logist., 42, 1271-1276.
4. Balakrishnan, N., Mohanty, S. and Aki, S. (1997). Start-up demonstration tests under Markov dependence model with corrective actions, Ann. Inst. Statist. Math., 49, 155-169.
5. Balasubramanian, K., Viveros, R. and Balakrishnan, N. (1993). Sooner and later waiting time problems for Markovian Bernoulli trials, Statist. Probab. Lett., 18, 153-161.
6. Ebneshahrashoob, M. and Sobel, M. (1990). Sooner and later problems for Bernoulli trials: frequency and run quotas, Statist. Probab. Lett., 9, 5-11.
7. Halm, G. J. and Gage, J. B. (1983). Evaluation of a start-up demonstration test, Journal of Quality Technology, 15, 103-106.
8. Ling, K. D. (1992). A generalization of the sooner and later waiting time problems for Bernoulli trials: frequency quota, Statist. Probab. Lett., 14, 401-405.
9. Sobel, M. and Ebneshahrashoob, M. (1992). Quota sampling for multinomial via Dirichlet, J. Statist. Plann. Inference, 33, 157-164.
10. Uchida, M. and Aki, S. (1995). Sooner and later waiting time problems in two-state Markov chain, Ann. Inst. Statist. Math., 47, 415-433.
11. Viveros, R. and Balakrishnan, N. (1993). Statistical inference from start-up demonstration test data, Journal of Quality Technology, 25, 119-130.
12. Yamamoto, H. and Miyakawa, M. (1995). Reliability of a linear connected-(r, s)-out-of-(m, n):F lattice system, IEEE Transactions on Reliability, 44, 333-336.