Demographic incidence rates and estimation of intensities with incomplete information
type: Item
instance of: scholarly article
title: Demographic incidence rates and estimation of intensities with incomplete information
zbMATH Open document ID: 0581.62070
author: Ørnulf Borgan
author: Henrik Ramlau-Hansen
published in: The Annals of Statistics
publication date: 1985-01-01T00:00:00Z
review text: A population process on the individual level can frequently be represented by a time-continuous Markov chain with a finite state space. With complete data, the estimation of transition intensities is straightforward. However, this paper treats the more difficult and important situation, where data are incomplete. Specifically, it is assumed that transitions within a subset of the states are observed in detail, while counts of transition out of this subset are only observed aggregated over the states. The derived methods rest on the assumption of nondifferential risk of transition out of the given subset. The results are given within the framework of counting process theory.
Mathematics Subject Classification ID: 62M05
Mathematics Subject Classification ID: 62P10
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 62P99
zbMATH DE Number: 3930178
zbMATH Keywords: demographic incidence rates
zbMATH Keywords: estimation of intensities
zbMATH Keywords: incomplete information
zbMATH Keywords: cohort analysis
zbMATH Keywords: cumulative incidence rates
zbMATH Keywords: martingales
zbMATH Keywords: occurrence/exposure rates
zbMATH Keywords: nondifferential risk of transition
zbMATH Keywords: counting process
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176349539
OpenAlex ID: W1992622999
DOI: 10.1214/AOS/1176349539
description: scientific article; zbMATH DE number 3930178