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Birth and death processes with absorption

DOI: 10.1155/s0161171292000632

Keywords: Markov process , and inequality for Dirichlet polynomials.

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Abstract:

Spectral measures and transition probabilities of birth and death processes with 0= 0=0 are obtained as limite when 0 ¢ ’0+ of the corresponding quantities. In particular the case of finite population is discussed in full detail. Pure birth and death processes are used to derive an inequality for Dirichlet polynomials.

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