A birth-death process suggested by a chain sequence


Lenin, R.B. and Parthasarathy, P.R. (2000) A birth-death process suggested by a chain sequence. Computers & Mathematics with Applications, 40 (2-3). pp. 239-247. ISSN 0898-1221

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Abstract:We consider a birth-death process whose birth and death rates are suggested by a chain sequence. We use an elegant transformation to find the transition probabilities in a simple closed form. We also find an explicit expression for time-dependent mean. We find parallel results in discrete time. Finally, we show that the processes under investigation are transient, and hence, the stationary distribution does not exist.
Item Type:Article
Copyright:© 2000 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/74307
Official URL:https://doi.org/10.1016/S0898-1221(00)00157-7
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