TY - CHAP AU - Crescenzo, A. ED - Trappl, R. PY - 1994 DA - 1994// TI - On some transformation properties of birth-and-death processes BT - Cybernetics and Systems ’94 PB - World Scientific CY - Singapore ID - Crescenzo1994 ER - TY - JOUR AU - Lenin, R. B. AU - Parthasarathy, P. R. AU - Scheinhardt, W. R. AU - Doorn, E. A. PY - 2000 DA - 2000// TI - Families of birth-death processes with similar time-dependent behaviour JO - J. Appl. Probab. VL - 37 UR - https://doi.org/10.1239/jap/1014842840 DO - 10.1239/jap/1014842840 ID - Lenin2000 ER - TY - JOUR AU - Pollett, P. K. PY - 2001 DA - 2001// TI - Similar Markov chains JO - J. Appl. Probab. VL - 38A UR - https://doi.org/10.1239/jap/1085496591 DO - 10.1239/jap/1085496591 ID - Pollett2001 ER - TY - JOUR AU - Schiefermayr, K. PY - 2003 DA - 2003// TI - Random walks with similar transition probabilities JO - J. Comput. Appl. Math. VL - 153 UR - https://doi.org/10.1016/S0377-0427(02)00640-4 DO - 10.1016/S0377-0427(02)00640-4 ID - Schiefermayr2003 ER - TY - JOUR AU - Crescenzo, A. AU - Martinucci, B. PY - 2008 DA - 2008// TI - A first-passage-time problem for symmetric and similar two-dimensional birth-death processes JO - Stoch. Models VL - 24 UR - https://doi.org/10.1080/15326340802232293 DO - 10.1080/15326340802232293 ID - Crescenzo2008 ER - TY - JOUR AU - Doorn, E. A. PY - 2012 DA - 2012// TI - Conditions for the existence of quasi-stationary distributions for birth-death processes with killing JO - Stoch. Process. Appl. VL - 122 UR - https://doi.org/10.1016/j.spa.2012.03.014 DO - 10.1016/j.spa.2012.03.014 ID - Doorn2012 ER - TY - JOUR AU - Doorn, E. A. AU - Zeifman, A. I. PY - 2005 DA - 2005// TI - Birth-death processes with killing JO - Stat. Probab. Lett. VL - 72 UR - https://doi.org/10.1016/j.spl.2004.11.020 DO - 10.1016/j.spl.2004.11.020 ID - Doorn2005 ER - TY - JOUR AU - Doorn, E. A. AU - Zeifman, A. I. PY - 2005 DA - 2005// TI - Extinction probability in a birth-death process with killing JO - J. Appl. Probab. VL - 42 UR - https://doi.org/10.1239/jap/1110381380 DO - 10.1239/jap/1110381380 ID - Doorn2005 ER - TY - JOUR AU - Callaert, H. AU - Keilson, J. PY - 1973 DA - 1973// TI - On exponential ergodicity and spectral structure for birth-death processes I JO - Stoch. Process. Appl. VL - 1 UR - https://doi.org/10.1016/0304-4149(73)90013-6 DO - 10.1016/0304-4149(73)90013-6 ID - Callaert1973 ER - TY - JOUR AU - Callaert, H. AU - Keilson, J. PY - 1973 DA - 1973// TI - On exponential ergodicity and spectral structure for birth-death processes II JO - Stoch. Process. Appl. VL - 1 UR - https://doi.org/10.1016/0304-4149(73)90001-X DO - 10.1016/0304-4149(73)90001-X ID - Callaert1973 ER - TY - JOUR AU - Crescenzo, A. AU - Martinucci, B. PY - 2009 DA - 2009// TI - On a symmetric, nonlinear birth-death process with bimodal transition probabilities JO - Symmetry VL - 1 UR - https://doi.org/10.3390/sym1020201 DO - 10.3390/sym1020201 ID - Crescenzo2009 ER - TY - JOUR AU - Schoutens, W. PY - 2000 DA - 2000// TI - Birth and death processes, orthogonal polynomials and limiting conditional distributions JO - Math. Sci. VL - 25 ID - Schoutens2000 ER - TY - JOUR AU - Karlin, S. AU - McGregor, J. L. PY - 1957 DA - 1957// TI - The differential equations of birth-and-death processes, and the Stieltjes moment problem JO - Trans. Am. Math. Soc. VL - 85 UR - https://doi.org/10.1090/S0002-9947-1957-0091566-1 DO - 10.1090/S0002-9947-1957-0091566-1 ID - Karlin1957 ER - TY - BOOK AU - Chihara, T. S. PY - 1978 DA - 1978// TI - An Introduction to Orthogonal Polynomials PB - Breach CY - New York ID - Chihara1978 ER - TY - BOOK AU - Anderson, W. J. PY - 1991 DA - 1991// TI - Continuous-Time Markov Chains: An Applications-Oriented Approach PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4612-3038-0 DO - 10.1007/978-1-4612-3038-0 ID - Anderson1991 ER - TY - JOUR AU - Kijima, M. AU - Nair, M. G. AU - Pollett, P. K. AU - Doorn, E. A. PY - 1997 DA - 1997// TI - Limiting conditional distributions for birth-death processes JO - Adv. Appl. Probab. VL - 29 UR - https://doi.org/10.2307/1427866 DO - 10.2307/1427866 ID - Kijima1997 ER - TY - JOUR AU - Doorn, E. A. PY - 2003 DA - 2003// TI - Birth-death processes and associated polynomials JO - J. Comput. Appl. Math. VL - 153 UR - https://doi.org/10.1016/S0377-0427(02)00594-0 DO - 10.1016/S0377-0427(02)00594-0 ID - Doorn2003 ER -