We display some representations for the rate of convergence of a birth-death process, which are useful for obtaining upper and lower bounds. The expressions are brought to light by exploiting the spectral representation for the transition probabilities of a birth-death process and results from the theory of orthogonal polynomials.
|Place of Publication||Enschede|
|Publisher||University of Twente, Department of Applied Mathematics|
|Number of pages||11|
|Publication status||Published - 2001|
|Name||Memorandum / Department of Applied Mathematics|
|Publisher||Department of Applied Mathematics, University of Twente|
van Doorn, E. A. (2001). Representations for the rate of convergence of birth-death processes. (Memorandum / Department of Applied Mathematics; No. 1584). Enschede: University of Twente, Department of Applied Mathematics.