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Horálek, Vratislav
Nonhomogeneous birth-death processes with constant ratio of rates. (English). Aplikace matematiky, vol. 11 (1966), issue 4, pp. 296-302
MSC: 60-67 | MR 0214152 | Zbl 0161.39705 | DOI: 10.21136/AM.1966.103032
Keywords:
mathematical biology
Summary:
This paper investigates nonhomogeneous birth-death process in which the ratio of rates is constant throughout the open interval $(0,\infty)$.
References:
[1] D. G. Kendall: On the generalized birth and death process. Ann. Math. Statistics 19 (1948), 1-15. DOI 10.1214/aoms/1177730285 | MR 0024091 | Zbl 0032.17604
[2] M. S. Bartlett: An Introduction to Stochastic Processes with Special Reference to Methods and Applications. Cambridge University Press 1955. MR 0068772 | Zbl 0068.11801
[3] V. Horálek: On some types of nonhomogeneous birth-immigration-death processes. Aplikace matematiky 9 (1964), 421-434. MR 0185678
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