A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data

We propose a Poisson-based model that uses both infallible data and fallible data subject to misclassification in the form of false negatives that yield visibility bias. We than derive maximum likelihood estimators for the Poisson rate parameter of interest and the misclassification parameter under...

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Main Authors:	James D. Stamey, Dean M. Young, Martina Cecchini
Format:	Article
Language:	English
Published:	University of Bologna 2007-10-01
Series:	Statistica
Online Access:	http://rivista-statistica.unibo.it/article/view/334

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spelling	doaj-fe69f20425cc49ba9aa429b705b95d3c2020-11-24T20:59:16ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-0163131110.6092/issn.1973-2201/334326A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased dataJames D. StameyDean M. YoungMartina CecchiniWe propose a Poisson-based model that uses both infallible data and fallible data subject to misclassification in the form of false negatives that yield visibility bias. We than derive maximum likelihood estimators for the Poisson rate parameter of interest and the misclassification parameter under two different sampling scenarios. We also derive expressions for the information matrices and the asymptotic variances of the maximum likelihood estimators for the rate parameter and the maximum likelihood estimators for the false-negative parameter. Finally, we also study our new models via a simulation experiment and then apply our new estimation procedures to a real data set.http://rivista-statistica.unibo.it/article/view/334
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	James D. Stamey Dean M. Young Martina Cecchini
spellingShingle	James D. Stamey Dean M. Young Martina Cecchini A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data Statistica
author_facet	James D. Stamey Dean M. Young Martina Cecchini
author_sort	James D. Stamey
title	A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data
title_short	A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data
title_full	A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data
title_fullStr	A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data
title_full_unstemmed	A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data
title_sort	double-sampling approach for maximum likelihood estimation for a poisson rate parameter with visibility-biased data
publisher	University of Bologna
series	Statistica
issn	0390-590X 1973-2201
publishDate	2007-10-01
description	We propose a Poisson-based model that uses both infallible data and fallible data subject to misclassification in the form of false negatives that yield visibility bias. We than derive maximum likelihood estimators for the Poisson rate parameter of interest and the misclassification parameter under two different sampling scenarios. We also derive expressions for the information matrices and the asymptotic variances of the maximum likelihood estimators for the rate parameter and the maximum likelihood estimators for the false-negative parameter. Finally, we also study our new models via a simulation experiment and then apply our new estimation procedures to a real data set.
url	http://rivista-statistica.unibo.it/article/view/334
work_keys_str_mv	AT jamesdstamey adoublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata AT deanmyoung adoublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata AT martinacecchini adoublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata AT jamesdstamey doublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata AT deanmyoung doublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata AT martinacecchini doublesamplingapproachformaximumlikelihoodestimationforapoissonrateparameterwithvisibilitybiaseddata
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A double-sampling approach for maximum likelihood estimation for a Poisson rate parameter with visibility-biased data

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