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The Multiple Recapture Census for Closed Populations and Incomplete 2k Contingency Tables

Stephen E. Fienberg
Biometrika
Vol. 59, No. 3 (Dec., 1972), pp. 591-603
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334810
Stable URL: http://www.jstor.org/stable/2334810
Page Count: 13
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The Multiple Recapture Census for Closed Populations and Incomplete 2k Contingency Tables
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Abstract

The multiple recapture census for closed populations is reconsidered, assuming an underlying multinominal sampling model. The resulting data can be put in the form of an incomplete 2k contingency table, with one missing cell, that displays the full multiple recapture history of all individuals in the population. Log linear models are fitted to this incomplete contingency table, and the simplest plausible model that fits the observed cells is projected to cover the missing cell, thus yielding an estimate of the total population size. Asymptotic variances for the estimate of the population size are considered, and the techniques are illustrated on a population of children possessing a common congenital anomaly.

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