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.
|Number of pages||8|
|Journal||Theory of probability and mathematical statistics|
|Publication status||Published - 2002|
- Decay parameter
- Orthogonal polynomials
- Birth-death process