The Annals of Statistics
- Ann. Statist.
- Volume 2, Number 5 (1974), 911-924.
Log-Linear Models for Frequency Tables Derived by Indirect Observation: Maximum Likelihood Equations
Frequency tables are examined in which some cells are not distinguishable. Log-linear models are proposed for these tables which lead to likelihood equations closely related to those associated with log-linear models for conventional frequency tables. Just as in conventional tables, the maximum likelihood equations are shown to be the same under Poisson or multinomial sampling. Applications are made to the problem of estimation of gene frequencies from observed phenotype frequencies.
Ann. Statist., Volume 2, Number 5 (1974), 911-924.
First available in Project Euclid: 12 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62F10: Point estimation
Secondary: 62P10: Applications to biology and medical sciences
Haberman, Shelby J. Log-Linear Models for Frequency Tables Derived by Indirect Observation: Maximum Likelihood Equations. Ann. Statist. 2 (1974), no. 5, 911--924. doi:10.1214/aos/1176342813. https://projecteuclid.org/euclid.aos/1176342813