Estimation of the Parameters of a Survival Process with Downward Jumps in Life Table*

Author: Al-Eideh, Basel M.

Source: Mathematical Population Studies, Volume 12, Number 1, January-March 2005 , pp. 39-50(12)

Publisher: Routledge, part of the Taylor & Francis Group

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Abstract:

Parameters for the birth and death diffusion life table model subject to downward jumps randomly occurring at a constant rate are estimated. The jump magnitudes have a beta distribution with support [0, l x ], where l x is the total number of survivors prior to the jump. The estimation method is maximum likelihood. The Cramer–Rao Lower bound and the asymptotic distribution for the MLE are derived. The model is applied to the U.S. men's population from 1900 to 1999.

Keywords: birth and death diffusion process; maximum likelihood estimation; jump process; Cramer Rao lower bound; life table

Document Type: Research article

DOI: http://dx.doi.org/10.1080/08898480590902163

Affiliations: 1: College of Business Administration, Kuwait University

Publication date: 2005-01-01