| Title:
             | 
Nonhomogeneous birth-death processes with constant ratio of rates (English) | 
| Author:
             | 
Horálek, Vratislav | 
| Language:
             | 
English | 
| Journal:
             | 
Aplikace matematiky | 
| ISSN:
             | 
0373-6725 | 
| Volume:
             | 
11 | 
| Issue:
             | 
4 | 
| Year:
             | 
1966 | 
| Pages:
             | 
296-302 | 
| Summary lang:
             | 
English | 
| Summary lang:
             | 
Russian | 
| Summary lang:
             | 
Czech | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
This paper investigates nonhomogeneous birth-death process in which the ratio of rates is constant throughout the open interval $(0,\infty)$. (English) | 
| Keyword:
             | 
mathematical biology | 
| MSC:
             | 
60-67 | 
| idZBL:
             | 
Zbl 0161.39705 | 
| idMR:
             | 
MR0214152 | 
| DOI:
             | 
10.21136/AM.1966.103032 | 
| . | 
| Date available:
             | 
2008-05-20T17:36:04Z | 
| Last updated:
             | 
2020-07-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/103032 | 
| . | 
| Reference:
             | 
[1] D. G. Kendall: On the generalized birth and death process.Ann. Math. Statistics 19 (1948), 1-15. Zbl 0032.17604, MR 0024091, 10.1214/aoms/1177730285 | 
| Reference:
             | 
[2] M. S. Bartlett: An Introduction to Stochastic Processes with Special Reference to Methods and Applications.Cambridge University Press 1955. Zbl 0068.11801, MR 0068772 | 
| Reference:
             | 
[3] V. Horálek: On some types of nonhomogeneous birth-immigration-death processes.Aplikace matematiky 9 (1964), 421-434. MR 0185678 | 
| . |