Exact Distributions of Waiting Time Problems of Mixed Frequencies and Runs in Markov Dependent Trials

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References

[1] N. Balakrishnan and M. V. Koutras, “Runs and Scans with Applications,” John Wiley & Sons, New York, 2002.

[2] J. C. Fu and W. Y. Lou, “Distribution Theory of Runs and Patterns and its Applications,” World Scientific Publisher, Singapore City, 2003.

[3] A. P. Godbole and S. G. Papastavridis, “Runs and Patterns in Probability: Selected Papers,” Kluwer, Dordrecht, 1994. doi:10.1007/978-1-4613-3635-8

[4] S. Aki and K. Hirano, “Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials,” Annals of the Institute of Statistical Mathematics, Vol. 51, No. 1, 1999, pp. 17-29.
doi:10.1023/A:1003874900507

[5] K. Balasubramanian, R. Viveros and N. Balakrishnan, “Sooner and Later Waiting Time Problems for Markovian Bernoulli Trials,” Statistics & Probability Letters, Vol. 18, No. 2, 1993, pp. 153-161.
doi:10.1016/0167-7152(93)90184-K

[6] Q. Han and S. Aki, “Waiting Time Problems in a TwoState Markov Chain,” Annals of the Institute of Statistical Mathematics, Vol. 52, No. 4, 2000, pp. 778-789.
doi:10.1023/A:1017537629251

[7] N. Kolev and L. Minkova, “Run and Frequency Quotas in a Multi-State Markov Chain,” Communications in Statistics—Theory and Methods, Vol. 28, No. 9, 1999, pp. 2223-2233. doi:10.1080/03610929908832417

[8] K. D. Ling and T. Y. Low, “On the Soonest and Latest Waiting Time Distributions: Succession Quotas,” Communications in Statistics—Theory and Methods, Vol. 22, No. 8, 1993, pp. 2207-2221.
doi:10.1080/03610929308831143

[9] M. Sobel and M. Ebneshahrashoob, “Quota Sampling for Multinomial via Dirichlet,” Journal of Statistical Planning and Inference, Vol. 33, No. 2, 1992, pp. 157-164.
doi:10.1016/0378-3758(92)90063-X

[10] M. Ebneshahrashoob, T. Gao and M. Sobel, “Double Window Acceptance Sampling,” Naval Research Logistics (NRL), Vol. 51, No. 2, 2004, pp. 297-306.
doi:10.1002/nav.10119

[11] M. Ebneshahrashoob, T. Gao and M. Sobel, “Sequential Window Problems,” Sequential Analysis: Design Methods and Applications, Vol. 24, No. 2, 2005, pp. 159-175.
doi:10.1081/SQA-200056194

[12] M. Ebneshahrashoob, T. Gao and M. Wu, “An Efficient Algorithm for Exact Distribution of Scan Statistics,” Methodology and Computing in Applied Probability, Vol. 7, No. 4, 2005, pp. 459-471.
doi:10.1007/s11009-005-5003-0

[13] M. J. Evans and J. S. Rosenthal, “Probability and Statistics, the Science of Uncertainty,” W. H. Freeman and Company, New York, 2004.

[14] Y. Saad, “Iterative Methods for Sparse Linear Systems,” SIAM: Society for Industrial and Applied Mathematics, Philadelphia, 2003. doi:10.1137/1.9780898718003