The Annals of Statistics

Product Models for Frequency Tables Involving Indirect Observation

Shelby J. Haberman

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Statist., Volume 5, Number 6 (1977), 1124-1147.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176344000

Digital Object Identifier
doi:10.1214/aos/1176344000

Mathematical Reviews number (MathSciNet)
MR445687

Zentralblatt MATH identifier
0371.62150

JSTOR
links.jstor.org

Subjects
Primary: 62F10: Point estimation
Secondary: 62P10: Applications to biology and medical sciences 62P25: Applications to social sciences

Keywords
Nonlinear programming indirect observation contingency table genetic model latent-structure analysis maximum likelihood estimation

Citation

Haberman, Shelby J. Product Models for Frequency Tables Involving Indirect Observation. Ann. Statist. 5 (1977), no. 6, 1124--1147. doi:10.1214/aos/1176344000. https://projecteuclid.org/euclid.aos/1176344000


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