Geomatric ergodicity and quasi-stationarity in discrete-time birth-death processes
1995 ◽
Vol 37
(2)
◽
pp. 121-144
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Keyword(s):
AbstractWe study two aspects of discrete-time birth-death processes, the common feature of which is the central role played by the decay parameter of the process. First, conditions for geometric ergodicity and bounds for the decay parameter are obtained. Then the existence and structure of quasi-stationary distributions are discussed. The analyses are based on the spectral representation for the n-step transition probabilities of a birth-death process developed by Karlin and McGregor.
1991 ◽
Vol 23
(04)
◽
pp. 683-700
◽
2005 ◽
Vol 42
(01)
◽
pp. 185-198
◽
2005 ◽
Vol 42
(1)
◽
pp. 185-198
◽
2015 ◽
Vol 52
(1)
◽
pp. 278-289
◽
2015 ◽
Vol 52
(01)
◽
pp. 278-289
◽
2006 ◽
Vol 2006
◽
pp. 1-15
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