### Abstract

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.

Original language | Undefined |
---|---|

Pages (from-to) | 37-43 |

Number of pages | 8 |

Journal | Theory of probability and mathematical statistics |

Volume | 65 |

Publication status | Published - 2002 |

### Keywords

- Decay parameter
- duality
- Orthogonal polynomials
- Birth-death process
- METIS-207006
- IR-62340
- EWI-12838

## Cite this

van Doorn, E. A. (2002). Representations for the rate of convergence of birth-death processes.

*Theory of probability and mathematical statistics*,*65*, 37-43.