[1] S. J. Schwager, “Run Probabilities in Sequences of Markov-Dependent Trials,” Journal of American Statistical Association, Vol. 78, No. 381, 1983, pp. 168-175. doi:10.2307/2287125
[2] N. Balakrishnan and P. S. Chan, “Start-up Demonstration Tests with Rejection of Units upon Observing d Failures,” Annals of Institute of Statistical Mathematics, Vol. 52, No. 1, 2000, pp. 184-196. doi:10.1023/A:1004101402897
[3] W. Feller, “An Introduction to Probability Theory and Its Applications,” 3rd Edition, John Wiley & Sons, Hoboken, 1968.
[4] K. D. Ling, “On Binomial Distributions of Order k,” Statistics & Probability Letters, Vol. 6, No. 4, 1988, pp. 247-250. doi:10.1016/0167-7152(88)90069-7
[5] S. Aki and K. Hirano, “Number of Success-Runs of Specified Length until Certain Stopping Time Rules and Generalized Binomial Distributions of Order k,” Annals of Institute of Statistical Mathematics, Vol. 52, No. 4, 2000, pp. 767-777. doi:10.1023/A:1017585512412
[6] A. M. Mood, “The Distribution Theory of Runs,” Annals of Mathematical Statistics, Vol. 11, No. 4, 1940, pp. 367-392. doi:10.1214/aoms/1177731825
[7] S. Aki and K. Hirano, “Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials,” Annals of Institute of Statistical Mathematics, Vol. 51, No. 1, 1999, pp. 17-29. doi:10.1023/A:1003874900507
[8] M. Uchida, “On Generating Functions of Waiting Time Problems for Sequence Patterns of Discrete Random Variables,” Annals of Institute of Statistical Mathematics, Vol. 50, No. 4, 1998, pp. 655-671. doi:10.1023/A:1003756712643
[9] D. L. Antzoulakos, “Waiting Times for Patterns in a Sequence of Multistate Trials,” Journal of Applied Probability, Vol. 38, No. 2, 2001, pp. 508-518. doi:10.1239/jap/996986759
[10] K. Inoue and S. Aki, “Generalized Waiting Time Problems Associated with Pattern in Polya’s Urn Scheme,” Annals of Institute of Statistical Mathematics, Vol. 54, No. 3, 2002, pp. 681-688. doi:10.1023/A:1022431631697
[11] K. S. Kotwal and R. L. Shinde, “Joint Distributions of Patterns in the Sequence of Markov Dependent Multi- State Trials,” 2010 Submitted.
[12] S. Aki and K. Hirano, “Waiting Time Problems for a Two-Dimensional Pattern,” Annals of Institute of Statistical Mathematics, Vol. 56, No. 1, 2004, 169-182. doi:10.1007/BF02530530
[13] K. S. Kotwal and R. L. Shinde, “Joint Distributions of Runs in a Sequence of Higher-Order Two-State Markov trials,” Annals of Institute of Statistical Mathematics, Vol. 58, No. 1, 2006, pp. 537-554. doi:10.1007/s10463-005-0024-6
[14] A. A. Salvia and W. C. Lasher, “2-Dimensional Consecutive k-out-of-n: F Models,” IEEE Transactions on Reliability, Vol. R-39, No. 3, 1990, pp. 382-385. doi:10.1109/24.103023
[15] R. L. Shinde and K. S. Kotwal, “On the Joint Distribution of Runs in the Sequence of Markov Dependent Multi- State Trials,” Statistics & Probability Letters, Vol. 76, No. 10, 2006, pp. 1065-1074. doi:10.1016/j.spl.2005.12.005