Open Access
November, 1977 Product Models for Frequency Tables Involving Indirect Observation
Shelby J. Haberman
Ann. Statist. 5(6): 1124-1147 (November, 1977). DOI: 10.1214/aos/1176344000


Frequency tables are often encountered which cannot be directly observed. Examples occur in gene frequency estimation problems, latent structure analysis, epidemiology, and studies of group interactions. A class of models is proposed for these various applications. Maximum likelihood equations are derived, together with methods for their solution. Large-sample properties of these estimates are studied.


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Shelby J. Haberman. "Product Models for Frequency Tables Involving Indirect Observation." Ann. Statist. 5 (6) 1124 - 1147, November, 1977.


Published: November, 1977
First available in Project Euclid: 12 April 2007

zbMATH: 0371.62150
MathSciNet: MR445687
Digital Object Identifier: 10.1214/aos/1176344000

Primary: 62F10
Secondary: 62P10 , 62P25

Keywords: Contingency table , genetic model , indirect observation , latent-structure analysis , maximum likelihood estimation , nonlinear programming

Rights: Copyright © 1977 Institute of Mathematical Statistics

Vol.5 • No. 6 • November, 1977
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